Page 131 - Math Course 2 (Book 2)

Congruent Triangles

Your Turn!

Name Corresponding Parts Identify Congruent Triangles

Name the corresponding parts in the congruent Determine whether the triangles shown are
triangles shown. Then complete the congruence congruent. If so, name the corresponding parts and
statement. write a congruence statement.

A. ∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F A. ∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z
AB ≅ DE, BC ≅ FE, AC ≅ DF AB ≅ XY, BC ≅ YZ, CA ≅ XZ
△ACB ≅ △DFE △ACB ≅ △XYZ

B. ∠A ≅ ∠D, ∠B ≅ ∠F, ∠C ≅ ∠E B.∠A ≅ ∠X, ∠B ≅ ∠Z, ∠C ≅ ∠Y
AB ≅ DE, BC ≅ FE, AC ≅ DF AB ≅ XZ, BC ≅ YZ, CA ≅ YX
△ACB ≅ △DEF △ACB ≅ △XZY

C. ∠A ≅ ∠D, ∠B ≅ ∠F, ∠C ≅ ∠E C. ∠A ≅ ∠Z, ∠B ≅ ∠Y, ∠C ≅ ∠X
AB ≅ DF, BC ≅ FE, CA ≅ ED AB ≅ XY, BC ≅ YZ, CA ≅ XZ
△ABC ≅ △DFE △ACB ≅ △XYZ

D. ∠A ≅ ∠D, ∠B ≅ ∠F, ∠C ≅ ∠E D. ∠A ≅ ∠Z, ∠B ≅ ∠Y, ∠C ≅ ∠X
AB ≅ EF, BC ≅ FD, AC ≅ DF AB ≅ ZY, BC ≅ YX, CA ≅ XZ
△ACB ≅ △DEF △ABC ≅ △XYZ

Answer Answer

Real World Example

ART In the figure, ΔABC ≅ ΔDEF. In the figure, ΔABC ≅ ΔDEF. What is the length of
What is the measure of ∠B? EF?

A. 158 in.
B. 68 in.
C. 44 in.
D. 22 in.

A. 44°
B. 46°
C. 90°
D. 136°

Answer Answer

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