Question

problem 7: (first taught in lesson 42) select the answer to this question based on the accompanying diagram. which angles of △ped are congruent?

Explanation:

Step1: Identify equal - length sides

Sides \(PE\) and \(PD\) are congruent.

Step2: Apply Isosceles Triangle Theorem

Since \(PE = PD\) in \(\triangle PED\), \(\angle EDP=\angle DEP\).

Answer:

In \(\triangle PED\), if we assume that the markings on the sides indicate equal - length sides (congruent sides), then the angles opposite to the congruent sides are congruent. If \(PE = PD\) (as indicated by the single - hash marks on the sides), then \(\angle EDP=\angle DEP\) (by the Isosceles Triangle Theorem which states that in an isosceles triangle, the angles opposite the equal sides are equal).