Question

problem 22: (first taught in lesson 42) select the converse of this statement and determine whether it is true or false. if two sides of a triangle are congruent (equal), then the angles opposite those sides are congruent (equal).

Explanation:

Step1: Define converse

Switch hypothesis and conclusion.
Original: If sides equal, then angles equal.
Converse: If angles equal, then sides equal.

Step2: Determine truth - value

This is an established triangle property (isosceles triangle theorem converse), so it's true.

Answer:

Converse: If two angles of a triangle are congruent (equal), then the sides opposite those angles are congruent (equal). It is true.