Triangle Inequalities Answers

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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′
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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
9

What are the missing measures in the diagram? m∠J = ° m∠T = ° m∠G = ° ST = cm HJ = cm

Answers:
Selection 1:67
Selection 2:67
Selection 3:46
Selection 4:5
Selection 5:3.7
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13

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.
14

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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