Question

Use the definition to complete the biconditional statement.

An equilateral triangle has three congruent sides."
A triangle is equilateral __________.

A. BECAUSE IT HAS ONLY THREE CONGRUENT SIDES

B. ONLY IF IT HAS THREE CONGRUENT SIDES

C. IF IT HAS ONLY THREE CONGRUENT SIDES

D. IF AND ONLY IF IT HAS THREE CONGRUENT SIDES

Answer 1

The given information as "An equilateral triangle has three congruent sides"

An equilateral triangle is a triangle in which all three sides are equal

The equilateral triangles are also equiangular

That is, all three internal angles are also congruent to each other.

Thus the triangle is equilateral then

"IF AND ONLY IF IT HAS THREE CONGRUENT SIDES".