8
QuizMultiple Choice

Congruent Figures — Quiz

Question 8 • Geometry

Triangle ABC is congruent to triangle XYZ In triangle ABC , AB is equal to 12 cm and AC is equal to 14 cm. In triangle XYZ , YZ is equal to 10 cm and XZ is equal to 14 cm. What is the perimeter of triangle ABC ?

Answer
A
38 cm
B
50 cm
C
40 cm
D
36 cm

Explanation

Because triangle ABC is congruent to triangle XYZ, corresponding sides have equal lengths: BC corresponds to YZ, so BC = 10 cm. The perimeter of triangle ABC is AB + BC + AC = 12 + 10 + 14 = 36 cm. The correct choice is D, 36 cm.

AI-written and checked against the verified answer.

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