25
QuizMultiple Choice

Triangle Congruence: SAS — Quiz

Question 25 • Geometry

How can a translation and a rotation be used to map triangle HJK to triangle LMN ?

Answer
A
Translate cap k to cap m and rotate about cap k until line segment HK lies on the line containing line segment LM .
B
Translate cap h to cap n and rotate about cap h until line segment HK lies on the line containing line segment LN .
C
Translate cap h to cap l and rotate about cap h until line segment HK lies on the line containing line segment LM .
D
Translate cap k to cap n and rotate about cap k until line segment HK lies on the line containing line segment LN .

Explanation

The vertex correspondence in triangle HJK to triangle LMN is H→L, J→M, and K→N. Translate K to N, then rotate about the translated position of K so side HK lines up with side LN, which connects the corresponding vertices H/L and K/N. This is choice B.

AI-written and checked against the verified answer.

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