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

Question

faust18 [17]

3 years ago

8

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

bes the figures?
A. ΔDEF ≅ ΔSUR
B. ΔDEF ≅ ΔSRU
C. ΔDEF ≅ ΔRSU
D. ΔDEF ≅ ΔRUS

Mathematics

1 answer:

vovikov84 [41] · Answer 1 · 2022-08-19T13:50:23+03:00

9514 1404 393

Answer:

B. ΔDEF ≅ ΔSRU

Step-by-step 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.