Question

problem 21: (first taught in lesson 43) select the converse of this statement and determine whether it is true or false. if a triangle is equilateral, then it is also equiangular.

Explanation:

Step1: Define converse

Switch hypothesis and conclusion.
Original: If $A$ (equilateral), then $B$ (equiangular). Converse: If $B$, then $A$.

Step2: Recall triangle properties

In geometry, an equiangular triangle has all angles equal ($60^{\circ}$ each). By the angle - side relationship in triangles, if all angles are equal, all sides are equal, so it is equilateral.

Answer:

Converse: If a triangle is equiangular, then it is equilateral. True.