9
QuizMultiple Choice

Congruent Figures — Quiz

Question 9 • Geometry

Triangle XYZ was translated up 2 and right 3 units, creating triangle CAB Which relationship between the parts of the two triangles must be true?

Answer
A
line segment YZ is congruent to line segment AB
B
angle cap z is congruent to angle cap c
C
angle cap x is congruent to angle cap A
D
line segment ZX is congruent to line segment CA

Explanation

A translation preserves lengths and angles, and the vertex order shows the correspondence X→C, Y→A, and Z→B. Therefore, segment YZ maps to segment AB, so those segments are congruent. Segment ZX maps to CB, not CA, and angle Z corresponds to angle B, not angle C.

AI-written and checked against the verified answer.

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