Yuting6/Vision-Matters-7B
8B
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Updated
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304
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<image>Find x. Round to the nearest tenth, if necessary.
Choices:
8
9
10
11
|
11
|
|
<image>In the figure, the vertices of quadrilateral ABCD intersect square EFGH and divide its sides into segments with measures that have a ratio of 1:2. Find the ratio between the areas of ABCD and EFGH.
Choices:
1:4
1:2
5:9
1: \sqrt 2
|
5:9
|
|
<image>Find the value of $f$ in the parallelogram
Choices:
14
18
36
56
|
14
|
|
<image>Find the value of the variable $y$ in the figure.
Choices:
55
115
125
135
|
125
|
|
<image>Find $m\angle S$
Choices:
68
80
123
125
|
123
|
|
<image>Find $x$ so that $ m \parallel n $.
Choices:
10
11
12
13
|
13
|
|
<image>Find $ m ∠RSU $ so that $ m \parallel n $.
Choices:
114
116
120
124
|
124
|
|
<image>Find $x$.
Choices:
6
9
12
15
|
12
|
|
<image>Find the perimeter of the $\triangle A B C,$ if $\triangle A B C \sim \triangle C B D, A D=5$, $C D=12,$ and $B C=31.2$
Choices:
32.5
72
78
187.2
|
78
|
|
<image>$\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the diameter of the circle.
Choices:
8
8.5
15
17
|
17
|
|
<image>Find $\angle 10$
Choices:
50
80
100
160
|
50
|
|
<image>Find the measure of $\angle 7$ if $\overline{A B} \perp \overline{B C}$.
Choices:
110
120
130
140
|
140
|
|
<image>Find $m \widehat {CF}$.
Choices:
40
49
80
98
|
80
|
|
<image>$\overline{BC} \| \overline{DF}$. $AC=15$, $BD=3x-2$, $CF=3x+2$, and $AB=12$. Find $x$.
Choices:
3
4
5
6
|
6
|
|
<image>Each pair of polygons is similar. Find y
Choices:
70
80
100
150
|
70
|
|
<image>Find x.
Choices:
9
12
15
16
|
12
|
|
<image>Quadrilateral ABCD is a rectangle. If $m\angle ADB = 4x + 8$ and $m\angle DBA = 6x + 12$, find x.
Choices:
7
20
36
54
|
7
|
|
<image>Find $x$.
Choices:
1
2
3
4
|
2
|
|
<image>Find x
Choices:
22
24
43
68
|
22
|
|
<image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
13
34
106
160
|
13
|
|
<image>Find the perimeter of quadrilateral ABCD.
Choices:
27 + 14 \sqrt { 2 }
40 + 14 \sqrt { 2 }
27 + 28 \sqrt { 2 }
40 + 28 \sqrt { 2 }
|
40 + 14 \sqrt { 2 }
|
|
<image>Find $EG$.
Choices:
5
6.5
10
13
|
10
|
|
<image>In $\triangle JLP$, $m \angle JMP=3 x-6$, $JK=3y-2$, and $LK=5y-8$. Find $LK$ if $\overline{PK}$ is a median.
Choices:
2
5
7
8
|
7
|
|
<image>Find $ST$.
Choices:
5
10
12
16
|
5
|
|
<image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
18
\sqrt { 612 }
34
612
|
\sqrt { 612 }
|
|
<image>Use parallelogram $ABCD$ to find $AB$
Choices:
6
12
18
115
|
12
|
|
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
39.4
49.0
68.2
78.7
|
39.4
|
|
<image>Find $x$ if $\odot M \cong \odot N$.
Choices:
8
9
10
12
|
9
|
|
<image>Find x. Round side measures to the nearest tenth.
Choices:
16.4
18.0
32.0
35.1
|
35.1
|
|
<image>Find x.
Choices:
2 \sqrt { 2 }
3 \sqrt { 2 }
2 \sqrt { 5 }
3 \sqrt { 5 }
|
2 \sqrt { 5 }
|
|
<image>If $QT=11$, what is $QU$.
Choices:
7
8
11
16
|
11
|
|
<image>$a=14, b=48,$ and $c=50$ find $tanA$
Choices:
0.17
0.19
0.29
0.50
|
0.29
|
|
<image>Find $y$ so that the quadrilateral is a parallelogram
Choices:
9
20
21
41
|
41
|
|
<image>$\ln \odot K$, $ M N=16$ and $m \widehat{M N}=98$. Find the measure of $LN$. Round to the nearest hundredth.
Choices:
6.93
7.50
8.94
10.00
|
8.94
|
|
<image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 6$.
Choices:
101
111
121
131
|
131
|
|
<image>Find the measure of $m∠C$.
Choices:
35
70
90
140
|
70
|
|
<image>Find x
Choices:
7
9
11
15
|
7
|
|
<image>Find $m \angle 2$.
Choices:
33
39
51
108
|
39
|
|
<image>If PR || WX, WX = 10, XY = 6, WY = 8, RY = 5, and PS = 3, find PQ
Choices:
5.5
6
8
11
|
6
|
|
<image>Find z.
Choices:
6 \sqrt { 3 }
12 \sqrt { 3 }
18 \sqrt { 2 }
36
|
12 \sqrt { 3 }
|
|
<image>WXYZ is a parallelogram. Find $m \angle Y Z W$
Choices:
33
65
82
115
|
115
|
|
<image>Find $XZ$.
Choices:
5
15
23
35
|
23
|
|
<image>Find y.
Choices:
6
8
10
12
|
10
|
|
<image>Find the measure of $\angle 1$.
Choices:
56
66
76
86
|
56
|
|
<image>Find $x$.
Choices:
50
55
60
70
|
60
|
|
<image>Find the area of the figure.
Choices:
105
135
150
160
|
150
|
|
<image>In $\odot P, m \widehat{E N}=66$ and $m \angle G P M=89$ .
Find $m \angle G N M$
Choices:
44.5
66
89
155
|
44.5
|
|
<image>Find $x$ so that the quadrilateral is a parallelogram
Choices:
3
5
7
8
|
3
|
|
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
1064
1120
1520
1888.1
|
1520
|
|
<image>Find $x$.
Choices:
2
3
4
5
|
3
|
|
<image>Find $y$.
Choices:
1
2
3
4
|
3
|
|
<image>WXYZ is a parallelogram. Find $m \angle X W Z$
Choices:
33
65
82
115
|
65
|
|
<image>Find x.
Choices:
\frac { 15 } { 2 }
\frac { 15 \sqrt { 2 } } { 2 }
\frac { 15 \sqrt { 3 } } { 2 }
15 \sqrt { 2 }
|
\frac { 15 \sqrt { 2 } } { 2 }
|
|
<image>Find $x$ in the figure.
Choices:
27.7
34
41.3
68
|
34
|
|
<image>Find the measure of $\angle 1$ if $m \angle D G F=53$ and $m \angle A G C=40$.
Choices:
37
40
50
53
|
37
|
|
<image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
\sqrt { 3 }
\sqrt { 5 }
3
3 \sqrt { 5 }
|
3 \sqrt { 5 }
|
|
<image>Chords $\overline{JF}$ and $\overline{BC}$ intersect at $K .$ If $B K=8$, $K C=12,$ and $K F=16,$ find $J K$
Choices:
6
12
15
18
|
6
|
|
<image>Find x.
Choices:
7.0
16.6
32.2
35.5
|
32.2
|
|
<image>Find the measure of $\angle 2$ if $m \angle D G F=53$ and $m \angle A G C=40$.
Choices:
37
40
50
53
|
50
|
|
<image>Find the rhombus of the kite.
Choices:
120
180
240
300
|
240
|
|
<image>Use rhombus XYZW with $m \angle W Y Z=53, V W=3$, $X V=2 a-2,$ and $Z V=\frac{5 a+1}{4}$
Find XZ
Choices:
2
4
8
16
|
8
|
|
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
Choices:
25
28.5
30.4
50
|
30.4
|
|
<image>What is ED?
Choices:
15
25
88.5
not enough information
|
not enough information
|
|
<image>If $P T=y-3, P S=y+2, R S=12,$ and $Q S=16$
solve for $y$
Choices:
\frac { 3 } { 14 }
\frac { 2 } { 3 }
\frac { 3 } { 2 }
\frac { 14 } { 3 }
|
\frac { 14 } { 3 }
|
|
<image>The diagonals of rhombus FGHJ intersect at K.
If $m\angle FJH = 82$, find $m\angle KHJ$.
Choices:
15
33
49
82
|
49
|
|
<image>$\Delta EFG$ is equilateral, and $\overline{E H}$ bisects $\angle E$. Find $x$.
Choices:
5
6
7
8
|
6
|
|
<image>Find y
Choices:
2 \sqrt { 3 }
4
4 \sqrt { 3 }
8
|
4 \sqrt { 3 }
|
|
<image>Find x.
Choices:
4 \sqrt { 5 }
4 \sqrt { 13 }
8 \sqrt { 5 }
8 \sqrt { 13 }
|
4 \sqrt { 13 }
|
|
<image>Find the area of the figure.
Choices:
22.9
29.7
54.9
60
|
54.9
|
|
<image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find $m\angle BDA$
Choices:
9
12
20
55
|
55
|
|
<image>$\triangle LMN \cong \triangle QRS$. Find $y$.
Choices:
10
20
40
50
|
50
|
|
<image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure.
Choices:
\frac { 4 } { 9 }
\frac { 2 } { 3 }
\frac { 3 } { 2 }
\frac { 9 } { 4 }
|
\frac { 3 } { 2 }
|
|
<image>Quadrilateral MNOP is a rhombus. Find $m\angle MRN $
Choices:
56
90
124
140
|
90
|
|
<image>Find x. Round the side measure to the nearest tenth.
Choices:
4.2
8.3
16.7
69.4
|
8.3
|
|
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
6
8
9.6
14.6
|
9.6
|
|
<image>Find the area of the figure in feet. Round to the nearest tenth, if necessary.
Choices:
14.4
16
28.8
32
|
14.4
|
|
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
82
164
836
1448
|
164
|
|
<image>Find $m\angle K$
Choices:
62
72
116
160
|
62
|
|
<image>Find $m \angle 2$.
Choices:
23
55
63
125
|
23
|
|
<image>Find $z$ in the figure.
Choices:
13.5
14
14.5
15
|
13.5
|
|
<image>Find $x$.
Choices:
9
11
37
47
|
11
|
|
<image>Quadrilateral ABCD is a rectangle. Find y
Choices:
5
12
24
25
|
5
|
|
<image>Find the measure of $\angle 1$.
Choices:
33
45
54
55
|
55
|
|
<image>Refer to trapezoid $CDFG$ with median $\overline{HE}$. Let $\overline{WX}$ be the median of $CDEH$. Find $WX$.
Choices:
34
38
42
46
|
42
|
|
<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
5
10
15
20
|
5
|
|
<image>Find the area of the shaded region.
Choices:
12.6
50.3
100.5
402.1
|
50.3
|
|
<image>For trapezoid $R S T V, A$ and $B$ are midpoints of the legs. Find $V T$.
Choices:
4
8
26
30
|
4
|
|
<image>Find AX if $E X=24$ and $D E=7$
Choices:
1
7
24
25
|
24
|
|
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
80.0
157.6
315.2
364.0
|
315.2
|
|
<image>What is the area of the triangle? Round your answer to the nearest tenth if necessary.
Choices:
137.4
161.3
170.5
186.9
|
161.3
|
|
<image>Find $m \angle K$.
Choices:
46
63
69
92
|
46
|
|
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
75
106.1
150
212.1
|
106.1
|
|
<image>Find $y$ in the figure.
Choices:
15
34
67
75
|
15
|
|
<image>For trapezoid $D E G H, X$ and $Y$ are midpoints of the legs. Find $D E$
Choices:
8
16
20
32
|
8
|
|
<image>Find x.
Choices:
24
24 \sqrt { 2 }
36
24 \sqrt { 3 }
|
24 \sqrt { 2 }
|
|
<image>In $\odot F$, find $m \widehat {ADB}$.
Choices:
63
153
233
243
|
243
|
|
<image>Find the perimeter of the figure. Round to the nearest tenth if necessary.
Choices:
54.8
60
80
109.6
|
54.8
|
|
<image>In the figure, $ \overline{JM} \cong \overline{PM}$ and $ \overline{ML} \cong \overline{PL}$. If $m \angle PLJ=34$, find $m \angle JPM$.
Choices:
34
34.5
36
36.5
|
36.5
|
|
<image>The segment is tangent to the circle. Find $x$.
Choices:
3
4
5
8
|
4
|
|
<image>Find the radius of $\odot K$. Round to the nearest hundredth.
Choices:
9.50
19.00
56.37
59.69
|
19.00
|
The model was presented in the paper Vision Matters: Simple Visual Perturbations Can Boost Multimodal Math Reasoning. You can also find the paper on arXiv: Vision Matters: Simple Visual Perturbations Can Boost Multimodal Math Reasoning (arXiv:2506.09736)
Vision-Matters is a simple visual perturbation framework that can be easily integrated into existing post-training pipelines including SFT, DPO, and GRPO. Our findings highlight the critical role of visual perturbation: better reasoning begins with better seeing.