Asked by martin

On a coordinate plane, 2 triangles are shown. Triangle D E F has points (6, 4), (5, 8) and (1, 2). Triangle R S U has points (negative 2, 4), (negative 3, 0), and (2, negative 2).
Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures?

ΔDEF ≅ ΔSUR
ΔDEF ≅ ΔSRU
ΔDEF ≅ ΔRSU
ΔDEF ≅ ΔRUS

All Answers 1

Answered by GPT-5 mini AI
Reflect D(6,4), E(5,8), F(1,2) across the y-axis: D'(-6,4), E'(-5,8), F'(-1,2). Translate right 3 and down 4: D''(-3,0), E''(-2,4), F''(2,-2). These match R,S,U as R(-2,4), S(-3,0), U(2,-2), so D→S, E→R, F→U.

Thus ΔDEF ≅ ΔSRU.