Question

problem 21: (first taught in lesson 32) select the converse of this statement and determine whether it is true or false. if two triangles are congruent, then all three of their angles are congruent.

Explanation:

Step1: Define converse

Switch hypothesis and conclusion.
Original: If A then B. Converse: If B then A.

Step2: Analyze truth - value

Two triangles with congruent angles are similar, not necessarily congruent. Congruent triangles have equal side - lengths too, which is not guaranteed just by equal angles.

Answer:

The converse statement is: If all three of the angles of two triangles are congruent, then the two triangles are congruent. This converse statement is false.