Question

triangle def is reflected over the y - axis, and then translated down 4 units and right 3 units. which congruency statement describes the figure?
△def ≅ △sur
△def ≅ △sru
△def ≅ △rsu
△def ≅ △rus

Explanation:

Step1: Understand the properties of congruent triangles

Congruent triangles have corresponding vertices. When a figure is reflected and translated (rigid motions), the shape and size remain the same, so the triangles are congruent. The order of the vertices in the congruence statement must match the corresponding vertices.

Step2: Identify corresponding vertices

• After reflection over the \(y -\)axis and translation, vertex \(D\) corresponds to \(R\), vertex \(E\) corresponds to \(S\), vertex \(F\) corresponds to \(U\).

Answer:

\(\triangle DEF\cong\triangle RSU\)