bzh666/mathvista_pgps · Datasets at Hugging Face

problem stringlengths 281 831	answer stringlengths 1 21	proID stringlengths 1 3
<image>The Caption of this geometric diagram is:Find the measure of \angle HPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	97	5
<image>The Caption of this geometric diagram is:Find the measure of \angle 3.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	38	48
<image>The Caption of this geometric diagram is:In the figure, KL is tangent to circle M at K. Find the value of x.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	9.45	114
<image>The Caption of this geometric diagram is:Find the value of x.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	12	160
<image>The Caption of this geometric diagram is:Find the length of $RS$ if $\triangle QRS$ is an equilateral triangle.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	2	176
<image>The Caption of this geometric diagram is:Find the value of $z$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	12	236
<image>The Caption of this geometric diagram is:Find the length of line segment PTPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	\frac { 20 } { 3 }	238
<image>The Caption of this geometric diagram is:Find the measure of \angle A of quadrilateral ABCDPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	135	242
<image>The Caption of this geometric diagram is:The area $A$ of the shaded region is given. Find the value of $x$. $A = 66$ cm$^2$ .Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	13.0	250
<image>The Caption of this geometric diagram is:Find the value of yPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	5	271
<image>The Caption of this geometric diagram is:One diagonal of a rhombus is twice as long as the other diagonal. If the area of the rhombus is 169 square millimeters, what are the lengths of the diagonals?Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	26	273
<image>The Caption of this geometric diagram is:$arc XWY \cong arc XYT$. Find the value of $x$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	5	283
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that AB is the diameter of ⊙O, if the degree of ∠BOC is 50.0, then the degree of ∠A is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	25°	285
<image>The Caption of this geometric diagram is:${HK}$ and ${IG}$ are diameters of $\odot L$. Find the $measure of arc {LIJ}$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	270	300
<image>The Caption of this geometric diagram is:Find the value of zPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	\frac { 40 } { 3 }	310
<image>The Caption of this geometric diagram is:If $\frac{IJ}{XJ}=\frac{HJ}{YJ}, measure of \angle WXJ=130$ and $measure \angle WZG=20,$ find the measure of \angle YIZPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	50	360
<image>The Caption of this geometric diagram is:Find the length of $AC$ in the isosceles triangle ABC. Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	7	375
<image>The Caption of this geometric diagram is:Find the value of xPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	10 \sqrt { 3 }	386
<image>The Caption of this geometric diagram is:Express the ratio of $\tan M$ as a decimal to the nearest hundredth.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	0.42	388
<image>The Caption of this geometric diagram is:Find the length of TX if $E X=24$ and $D E=7$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	32	403
<image>The Caption of this geometric diagram is:Find the value of z.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	6 \sqrt { 5 }	408
<image>The Caption of this geometric diagram is:Find the perimeter of $\triangle DEF,$ if $\triangle DEF \sim \triangle CBF,$ perimeter of $\triangle CBF=27, DF=6,$ and $FC=8$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	20.25	410
<image>The Caption of this geometric diagram is:If $ST=8, TR=4$, and $PT=6$, find the length of $QR$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	9	414
<image>The Caption of this geometric diagram is:The Caption of this geometric diagram is:If $ST=8, TR=4$, and $PT=6$, find the length of $QR$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	52	499
<image>The Caption of this geometric diagram is:The Caption of this geometric diagram is:The Caption of this geometric diagram is:If $ST=8, TR=4$, and $PT=6$, find the length of $QR$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	3	575
<image>The Caption of this geometric diagram is:Find the value of x. Round to the nearest tenth. Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	5.8	583
<image>The Caption of this geometric diagram is:In the figure, $m∠1 = 123$. Find the measure of $\angle 14$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	57	633
<image>The Caption of this geometric diagram is:Find the length of $arc {{INW}}$ if $\triangle {IWN}$ is equilateral and $WN=5$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	\frac { 5 } { 3 } \pi	640
<image>The Caption of this geometric diagram is:Find the value of $h$ in the triangle.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	8	665
<image>The Caption of this geometric diagram is:Find the value of xPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	58	678
<image>The Caption of this geometric diagram is:$arc {LGH} \cong arc{LJK}$. Find the value of $x$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	55	684
<image>The Caption of this geometric diagram is:Find the value of $x$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	3	713
<image>The Caption of this geometric diagram is:Find the value of y.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	16 \sqrt { 5 }	716
<image>The Caption of this geometric diagram is:Find the value of x. Assume that any segment that appears to be tangent is tangent.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	10	726
<image>The Caption of this geometric diagram is:If RL = 5, RT = 9, and WS = 6, find the length of RW.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	7.5	744
<image>The Caption of this geometric diagram is:In $\odot M$, $FL=24,HJ=48$, and $measure of arc {MHP}=65$. Find the $measure of arc {MHJ}$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	130	747
<image>The Caption of this geometric diagram is:Find the value of x to the nearest tenth. Assume that segments that appear to be tangent are tangent.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	7.2	757
<image>The Caption of this geometric diagram is:Find the length of $JQ$ if $Q$ is the incenter of $\triangle JLN$. Rounded to the nearest hundredth.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	18.79	776
<image>The Caption of this geometric diagram is:In rhombus LMPQ, $m \angle Q L M=2 x^{2}-10$, $m \angle Q P M=8 x$, and $M P=10$ . Find the perimeter of $LMPQ$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	40	777
<image>The Caption of this geometric diagram is:In $\triangle CDF$, $K$ is the centroid and $DK=16$. Find the length of $CD$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	18	781
<image>The Caption of this geometric diagram is:Find $m \angle K$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	100	786
<image>The Caption of this geometric diagram is:In $\odot B$, $CE=13.5$. Find the length of $BD$. Round to the nearest hundredth.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	4.29	804
<image>The Caption of this geometric diagram is:Find the measure of \angle NCLPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	120	815
<image>The Caption of this geometric diagram is:Find the value of x. Round to the nearest tenth, if necessary.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	3	816
<image>The Caption of this geometric diagram is:Find the value of $t$ in the parallelogram.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	7	819
<image>The Caption of this geometric diagram is:$a=14, b=48,$ and $c=50$ find the value of $cosA$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	0.96	820
<image>The Caption of this geometric diagram is:Find the value of $x$ so that $a ∥ b$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	14	855
<image>The Caption of this geometric diagram is:For trapezoid $Q R S T, A$ and $B$ are midpoints of the legs. Find the $measure of \angle S$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	135	866
<image>The Caption of this geometric diagram is:In the figure, square $ABDC$ is inscribed in $\odot K$. Find the measure of a central angle.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	90	876
<image>The Caption of this geometric diagram is:Use a calculator to find the measure of $∠J$ to the nearest degree.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	40	897
<image>The Caption of this geometric diagram is:Find the value of x to the nearest tenth. Assume that segments that appear to be tangent are tangent.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	21.6	921
<image>The Caption of this geometric diagram is:In the figure, $m ∠9 = 75$. Find the measure of $\angle 6$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	105	938
<image>The Caption of this geometric diagram is:Find the value of $x$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	12.75	951
<image>The Caption of this geometric diagram is:In $\odot S$, $measure of arc {SRP}=98$, Find the $measure of arc {SQP}$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.	49	990

<image>The Caption of this geometric diagram is:Find the measure of \angle HPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

97

5

<image>The Caption of this geometric diagram is:Find the measure of \angle 3.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

38

48

<image>The Caption of this geometric diagram is:In the figure, KL is tangent to circle M at K. Find the value of x.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

9.45

114

<image>The Caption of this geometric diagram is:Find the value of x.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

12

160

<image>The Caption of this geometric diagram is:Find the length of $RS$ if $\triangle QRS$ is an equilateral triangle.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

2

176

<image>The Caption of this geometric diagram is:Find the value of $z$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

12

236

<image>The Caption of this geometric diagram is:Find the length of line segment PTPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

\frac { 20 } { 3 }

238

<image>The Caption of this geometric diagram is:Find the measure of \angle A of quadrilateral ABCDPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

135

242

<image>The Caption of this geometric diagram is:The area $A$ of the shaded region is given. Find the value of $x$. $A = 66$ cm$^2$ .Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

13.0

250

<image>The Caption of this geometric diagram is:Find the value of yPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

5

271

<image>The Caption of this geometric diagram is:One diagonal of a rhombus is twice as long as the other diagonal. If the area of the rhombus is 169 square millimeters, what are the lengths of the diagonals?Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

26

273

<image>The Caption of this geometric diagram is:$arc XWY \cong arc XYT$. Find the value of $x$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

5

283

<image>The Caption of this geometric diagram is:As shown in the figure, it is known that AB is the diameter of ⊙O, if the degree of ∠BOC is 50.0, then the degree of ∠A is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

25°

285

<image>The Caption of this geometric diagram is:${HK}$ and ${IG}$ are diameters of $\odot L$. Find the $measure of arc {LIJ}$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

270

300

<image>The Caption of this geometric diagram is:Find the value of zPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

\frac { 40 } { 3 }

310

<image>The Caption of this geometric diagram is:If $\frac{IJ}{XJ}=\frac{HJ}{YJ}, measure of \angle WXJ=130$ and $measure \angle WZG=20,$ find the measure of \angle YIZPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

50

360

<image>The Caption of this geometric diagram is:Find the length of $AC$ in the isosceles triangle ABC. Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

7

375

<image>The Caption of this geometric diagram is:Find the value of xPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

10 \sqrt { 3 }

386

<image>The Caption of this geometric diagram is:Express the ratio of $\tan M$ as a decimal to the nearest hundredth.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

0.42

388

<image>The Caption of this geometric diagram is:Find the length of TX if $E X=24$ and $D E=7$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

32

403

<image>The Caption of this geometric diagram is:Find the value of z.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

6 \sqrt { 5 }

408

<image>The Caption of this geometric diagram is:Find the perimeter of $\triangle DEF,$ if $\triangle DEF \sim \triangle CBF,$ perimeter of $\triangle CBF=27, DF=6,$ and $FC=8$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

20.25

410

<image>The Caption of this geometric diagram is:If $ST=8, TR=4$, and $PT=6$, find the length of $QR$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

9

414

<image>The Caption of this geometric diagram is:The Caption of this geometric diagram is:If $ST=8, TR=4$, and $PT=6$, find the length of $QR$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

52

499

<image>The Caption of this geometric diagram is:The Caption of this geometric diagram is:The Caption of this geometric diagram is:If $ST=8, TR=4$, and $PT=6$, find the length of $QR$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

3

575

<image>The Caption of this geometric diagram is:Find the value of x. Round to the nearest tenth. Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

5.8

583

<image>The Caption of this geometric diagram is:In the figure, $m∠1 = 123$. Find the measure of $\angle 14$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

57

633

<image>The Caption of this geometric diagram is:Find the length of $arc {{INW}}$ if $\triangle {IWN}$ is equilateral and $WN=5$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

\frac { 5 } { 3 } \pi

640

<image>The Caption of this geometric diagram is:Find the value of $h$ in the triangle.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

8

665

<image>The Caption of this geometric diagram is:Find the value of xPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

58

678

<image>The Caption of this geometric diagram is:$arc {LGH} \cong arc{LJK}$. Find the value of $x$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

55

684

<image>The Caption of this geometric diagram is:Find the value of $x$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

3

713

<image>The Caption of this geometric diagram is:Find the value of y.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

16 \sqrt { 5 }

716

<image>The Caption of this geometric diagram is:Find the value of x. Assume that any segment that appears to be tangent is tangent.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

10

726

<image>The Caption of this geometric diagram is:If RL = 5, RT = 9, and WS = 6, find the length of RW.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

7.5

744

<image>The Caption of this geometric diagram is:In $\odot M$, $FL=24,HJ=48$, and $measure of arc {MHP}=65$. Find the $measure of arc {MHJ}$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

130

747

<image>The Caption of this geometric diagram is:Find the value of x to the nearest tenth. Assume that segments that appear to be tangent are tangent.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

7.2

757

<image>The Caption of this geometric diagram is:Find the length of $JQ$ if $Q$ is the incenter of $\triangle JLN$. Rounded to the nearest hundredth.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

18.79

776

<image>The Caption of this geometric diagram is:In rhombus LMPQ, $m \angle Q L M=2 x^{2}-10$, $m \angle Q P M=8 x$, and $M P=10$ . Find the perimeter of $LMPQ$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

40

777

<image>The Caption of this geometric diagram is:In $\triangle CDF$, $K$ is the centroid and $DK=16$. Find the length of $CD$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

18

781

<image>The Caption of this geometric diagram is:Find $m \angle K$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

100

786

<image>The Caption of this geometric diagram is:In $\odot B$, $CE=13.5$. Find the length of $BD$. Round to the nearest hundredth.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

4.29

804

<image>The Caption of this geometric diagram is:Find the measure of \angle NCLPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

120

815

<image>The Caption of this geometric diagram is:Find the value of x. Round to the nearest tenth, if necessary.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

3

816

<image>The Caption of this geometric diagram is:Find the value of $t$ in the parallelogram.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

7

819

<image>The Caption of this geometric diagram is:$a=14, b=48,$ and $c=50$ find the value of $cosA$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

0.96

820

<image>The Caption of this geometric diagram is:Find the value of $x$ so that $a ∥ b$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

14

855

<image>The Caption of this geometric diagram is:For trapezoid $Q R S T, A$ and $B$ are midpoints of the legs. Find the $measure of \angle S$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

135

866

<image>The Caption of this geometric diagram is:In the figure, square $ABDC$ is inscribed in $\odot K$. Find the measure of a central angle.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

90

876

<image>The Caption of this geometric diagram is:Use a calculator to find the measure of $∠J$ to the nearest degree.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

40

897

<image>The Caption of this geometric diagram is:Find the value of x to the nearest tenth. Assume that segments that appear to be tangent are tangent.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

21.6

921

<image>The Caption of this geometric diagram is:In the figure, $m ∠9 = 75$. Find the measure of $\angle 6$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

105

938

<image>The Caption of this geometric diagram is:Find the value of $x$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

12.75

951

<image>The Caption of this geometric diagram is:In $\odot S$, $measure of arc {SRP}=98$, Find the $measure of arc {SQP}$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.

49

990