6
QuizMultiple Choice

Congruent Figures — Quiz

Question 6 • Geometry

Three figures exist such that ABCD is congruent to GHIJ and BCDA is congruent to RSTU If GH is equal to 6 cm, HI is equal to 8 cm, IJ is equal to 10 cm, and GJ is equal to 9 cm, what is TS ?

Answer
A
6 cm
B
10 cm
C
8 cm
D
9 cm

Explanation

In ABCD ≅ GHIJ, the matching vertices are A↔G, B↔H, C↔I, and D↔J. Thus CD matches IJ, so CD = 10 cm. In BCDA ≅ RSTU, C↔S and D↔T, so TS matches CD and is 10 cm.

AI-written and checked against the verified answer.

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