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). a b c d e if two sides of a triangle are congruent (equal), then the angles opposite those sides are congruent (equal); true

Explanation:

The converse of a conditional statement "if p then q" is "if q then p". Here, the original statement is "if two sides of a triangle are congruent, then the angles opposite those sides are congruent". The converse is "if two angles of a triangle are congruent, then the sides opposite those angles are congruent", which is also a well - known theorem in geometry (isosceles triangle theorem converse).

Answer:

If two angles of a triangle are congruent (equal), then the sides opposite those sides are congruent (equal); true