Question

1. which statement is the converse of the following conditional? if a polygon has three sides, then it is a triangle. a if a polygon does not have three sides, then it is not a triangle. b. if a polygon is not a triangle, then it does not have three sides. c. if a polygon is a triangle, then it does not have three sides. d. if a polygon is a triangle, then it has three sides.

Explanation:

The converse of a conditional statement “If \(p\), then \(q\)” is “If \(q\), then \(p\)”. Here, \(p\) is “a polygon has three sides” and \(q\) is “it is a triangle”. So the converse should be “If a polygon is a triangle, then it has three sides”.

Answer:

D. If a polygon is a triangle, then it has three sides.