Week 5: Congruence

Question 1

Which statements are true? Check all that apply.

Revolt · Accepted Answer

DE ≅ D′E′; EC ≅ E′C′; D′C′ ≅ DC; ΔCDE ≅ ΔC′D′E′

Question 2

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

Revolt · Accepted Answer

67; Selection 1: 67; Selection 2: 67; Selection 3: 46; Selection 4: 5; Selection 5: 3.7

Question 3

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

✔ ABC; Selection 1: ABC; Selection 2: WV and CB; Selection 3: UWV and ACB

Question 4

UV and ABVU and BC✔ WV and CB

Revolt · Accepted Answer

WV and CB

Question 5

UVW and ABC✔ UWV and ACBWUV and CAB

Revolt · Accepted Answer

UWV and ACB

Question 6

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

Revolt · Accepted Answer

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

Question 7

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

Revolt · Accepted Answer

ΔXYZ ≅ ΔLMN; ∠Y ≅ ∠M; ∠X ≅ ∠L; XZ ≅ LN

Question 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?

Revolt · Accepted Answer

CDEF ≅ NMOP

Question 9

What is the perimeter of the entire design?

Revolt · Accepted Answer

64 cm

Question 10

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

No, the triangles are not necessarily congruent.

Week 5: Congruence Answers

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