Question

problem 21: select the converse of this statement, and determine whether it is true or false. if two triangles are congruent, then all three pairs of their sides are congruent.

Explanation:

Step1: Define converse

Switch hypothesis and conclusion.
Original: If A (two triangles are congruent), then B (all three - pairs of their sides are congruent). Converse: If B, then A.

Step2: Determine truth - value

By SSS (Side - Side - Side) congruence criterion, if all three pairs of sides of two triangles are congruent, the triangles are congruent. So it is true.

Answer:

Converse: If all three pairs of the sides of two triangles are congruent, then the two triangles are congruent. True.