Question

select the answer to this question based on the accompanying diagram. which angles of △ped are congruent?

Explanation:

Step1: Identify isosceles triangle

The triangle \(\triangle PED\) has \(PE = PD\) (marked with single ticks).

Step2: Apply isosceles - triangle property

For an isosceles triangle, base - angles opposite equal sides are congruent. So \(\angle E\) and \(\angle D\) are congruent.

Answer:

In \(\triangle PED\), if \(PE = PD\) (as indicated by the equal - side markings in the diagram), then \(\angle E=\angle D\) (base - angles of an isosceles triangle are congruent).