Congruent Figures

Question 1

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

Revolt · Accepted Answer

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

Question 2

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 3

What is the perimeter of the entire design?

Revolt · Accepted Answer

64 cm

Question 4

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.

Question 5

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

Revolt · Accepted Answer

NPOM ≅ VUTS; OPNM ≅ TUVS

Question 6

What are the missing measures in the diagram?

Revolt · Accepted Answer

✔ 67; m∠J = °: 67; m∠T = °: 67; m∠G = °: 46; ST = cm: 5; HJ = cm: 3.7

Question 7

4667113134

Revolt · Accepted Answer

67

Question 8

3.7588.7

Revolt · Accepted Answer

5

Question 9

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

Revolt · Accepted Answer

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

Question 10

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

Revolt · Accepted Answer

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

Congruent Figures Answers

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