Question

identify the converse of the statement: if a triangle has 3 equal sides, then it is equilateral. a. if a triangle has 2 equal sides, then it is isosceles. b. if a triangle is not equilateral, then it does not have 3 equal sides. c. if a triangle is equilateral, then it has 3 equal sides. d. if a triangle does not have 3 equal sides, then it is not equilateral.

Explanation:

The converse of a conditional statement "if p then q" is "if q then p". Here, p is "a triangle has 3 equal sides" and q is "it is equilateral". So the converse is formed by switching the hypothesis and conclusion.

Answer:

C. If a triangle is equilateral, then it has 3 equal sides.