10
QuizMultiple Choice

Triangle Similarity — Test

Question 10 • CMS 2026-2027 Foundations of Math 3 INITIAL CREDIT

Which must be true in order for the relationship triangle ZYX approximates triangle WVU to be correct?

Answer
A
line segment ZY is parallel to line segment WV
B
angle cap z is congruent to angle cap w and angle cap x is congruent to angle cap u
C
angle cap z is congruent to angle cap y and angle cap w is congruent to angle cap v
D
line segment ZY is parallel to line segment YX and line segment WV is parallel to line segment VU

Explanation

For the similarity statement △ZYX ~ △WVU to be correct, the vertices must correspond in the stated order: Z ↔ W, Y ↔ V, and X ↔ U. Therefore corresponding angles must be congruent, including ∠Z ≅ ∠W and ∠X ≅ ∠U. Choice B gives these required angle matches; the other choices either compare noncorresponding angles or state irrelevant parallel relationships.

AI-written and checked against the verified answer.

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