Congruent Figures

Question 1

Which statements are true? Check all that apply.

Revolt · Accepted Answer

A: DE ≅ D′E′; B: EC ≅ E′C′; E: D′C′ ≅ DC; F: ΔCDE ≅ ΔC′D′E′

Question 2

Are rectangles ABCD and WXYZ congruent? Why or why not?

Revolt · Accepted Answer

D: No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Question 3

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

Revolt · Accepted Answer

A: ΔXYZ ≅ ΔLMN; B: ∠Y ≅ ∠M; C: ∠X ≅ ∠L; F: XZ ≅ LN

Question 4

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?

Revolt · Accepted Answer

C: CDEF ≅ NMOP

Question 5

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

Revolt · Accepted Answer

B: 67

Question 6

Question 6

Revolt · Accepted Answer

111464

Question 7

What is the perimeter of the entire design?

Revolt · Accepted Answer

B: 64 cm

Question 8

Given that ΔJKL ≅ ΔUVW and ΔUVW ≅ ΔABC, complete the following statements. Triangle JKL is congruent to triangle . Side LK corresponds to sides . Angle JLK corresponds to angles .

Revolt · Accepted Answer

A: ABC

Question 9

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.

Revolt · Accepted Answer

D: No, the triangles are not necessarily congruent.

Question 10

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

Revolt · Accepted Answer

C: NPOM ≅ VUTS; D: OPNM ≅ TUVS

Congruent Figures Answers

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