Question

Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures?

A. ΔDEF ≅ ΔSUR
B. ΔDEF ≅ ΔSRU
C. ΔDEF ≅ ΔRSU
D. ΔDEF ≅ ΔRUS

Answer 1

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Answer:

B. ΔDEF ≅ ΔSRU

Explanation:

Reflection changes corresponding vertices from CCW order to CW order. Vertex D gets reflected to (-6, 4), then translated to (-3, 0). After this transformation, its image is vertex S. The vertices in CW order from S are SRU. Hence, ΔDEF ≅ ΔSRU, matching choice B.