AnswersCA-Common Core Geometry DVHS Sem. 2Congruent Figures

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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4667113134

A
46
B
67
C
113
D
134
3

4667113134

A
46
B
67
C
113
D
134
4

3.7588.7

A
3.7
B
5
C
8
D
8.7
5

3.7588.7

A
3.7
B
5
C
8
D
8.7
6

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.
7

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
8

Trapezoid CDEF was reflected across the x-axis followed by a 90° rotation about the origin to create the other trapezoid shown on the graph. Which congruency statement applies to the trapezoids?

A
CDEF ≅ NPOM
B
CDEF ≅ MNPO
C
CDEF ≅ NMOP
D
CDEF ≅ MOPN
9

4667113134

A
46
B
67
C
113
D
134
10

[___] square inches

Answer:

198

11

What is the perimeter of the entire design?

A
46 cm
B
64 cm
C
108 cm
D
147 cm
12

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
13

ABCBCACBA

A
ABC
B
BCA
C
CBA
14

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.
15

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
16

UV and ABVU and BCWV and CB

A
UV and AB
B
VU and BC
C
WV and CB
17

UVW and ABCUWV and ACBWUV and CAB

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

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