Congruent Figures Answers

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1
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Which statements are true? Check all that apply.

A
DE ≅ D′E′
B
EC ≅ E′C′
C
ED ≅ D′C′
D
C′D′ ≅ D′E′
E
D′C′ ≅ DC
F
ΔCDE ≅ ΔC′D′E′
2
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Are rectangles ABCD and WXYZ congruent? Why or why not?

A
Yes, all right angles were preserved.
B
Yes, both rectangles have an area of 24 square units.
C
Yes, a 180° rotation about the origin will map ABCD to WXYZ.
D
No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
3

Which statements are true regarding the diagram? Check all that apply.

A
ΔXYZ ≅ ΔLMN
B
∠Y ≅ ∠M
C
∠X ≅ ∠L
D
∠Z ≅ ∠L
E
YZ ≅ ML
F
XZ ≅ LN
5

Given that ΔJKL ≅ ΔUVW and ΔUVW ≅ ΔABC, complete the following statements.

Answers:
Triangle JKL is congruent to triangle .:ABC
Side LK corresponds to sides .:WV and CB
Angle JLK corresponds to angles .:UWV and ACB
6

What are the missing measures in the diagram?

Answers:
m∠J = °:67
m∠T = °:67
m∠G = °:46
ST = cm:5
HJ = cm:3.7
7

46✔ 67113134

A
46
B
✔ 67
C
113
D
134
8

✔ 4667113134

A
✔ 46
B
67
C
113
D
134
9

3.7✔ 588.7

A
3.7
B
✔ 5
C
8
D
8.7
10

✔ 3.7588.7

A
✔ 3.7
B
5
C
8
D
8.7
13

Given that ΔJKL ≅ ΔUVW and ΔUVW ≅ ΔABC, complete the following statements.

Answers:
Triangle JKL is congruent to triangle .:ABC
Side LK corresponds to sides .:WV and CB
Angle JLK corresponds to angles .:UWV and ACB
14

UV and ABVU and BC✔ WV and CB

A
UV and AB
B
VU and BC
C
✔ WV and CB
15

UVW and ABC✔ UWV and ACBWUV and CAB

A
UVW and ABC
B
✔ UWV and ACB
C
WUV and CAB
16

In ΔCDE, m∠C = 30° and m∠E = 50°. In ΔFGH, m∠G = 100° and m∠H = 50°. Are the triangles congruent? If so, write a congruency statement.

A
Yes, ΔCDE ≅ ΔFGH.
B
Yes, ΔCDE ≅ ΔGHF.
C
Yes, ΔCDE ≅ ΔHGF.
D
No, the triangles are not necessarily congruent.
17

Which congruency statements could be correct for the figures? Check all that apply.

A
MNOP ≅ STUV
B
MNPO ≅ TSVU
C
NPOM ≅ VUTS
D
OPNM ≅ TUVS
E
PONM ≅ UTSV

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