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? △def≅△sru △def≅△rsu △def≅△rus △def≅△sur

Explanation:

Step1: Identify original coordinates of ΔDEF

Assume D(x₁,y₁), E(x₂,y₂), F(x₃,y₃) from graph.

Step2: Reflect over y-axis

Transform to D'(-x₁,y₁), E'(-x₂,y₂), F'(-x₃,y₃).

Step3: Translate down 4 units

Transform to D''(-x₁,y₁-4), E''(-x₂,y₂-4), F''(-x₃,y₃-4).

Step4: Match transformed points to ΔRSU

Transformed D'', E'', F'' correspond to R, S, U respectively.

Answer:

ΔDEF ≅ ΔRSU