20
QuizMultiple Choice

Triangle Congruence: SAS — Quiz

Question 20 • Geometry

Which of these triangle pairs can be mapped to each other using a single translation?

Answer
A
Image with description Triangles C E D and C N P are congruent. Triangle C E D is rotated about point C and then reflected across a line to form triangle C N P.
B
Image with description Triangles C E D and M P N are congruent. Triangle C E D is shifted to the right to form triangle M P N.
C
Image with description Triangles C E D and M P D are congruent. Triangle M P D is rotated and shifted up to form triangle C E D.
D
Image with description Triangles C N E and C D E are congruent. Triangle C N E is reflected across a line and then rotated slightly to form triangle C D E.

Explanation

A single translation slides a figure without rotating or reflecting it, so corresponding sides keep the same direction and every point moves the same distance in the same direction. Choice A says triangle CED is shifted to the right to form triangle MPN, which is a translation. The other choices involve a reflection or rotation, so they cannot be done using a single translation.

AI-written and checked against the verified answer.

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