Question

identify the inverse of the statement: if a triangle has 3 equal sides, then it is equilateral. f. if a triangle does not have 3 equal sides, then it is not equilateral. g. if a triangle is not equilateral, then it does not have 3 equal sides. h. if a triangle is equilateral, then it has 3 equal sides. j. if a triangle has 2 equal sides, then it is isosceles.

Explanation:

The inverse of a conditional statement "If p, then q" is "If not p, then not q". Here, p is "a triangle has 3 equal sides" and q is "it is equilateral". So the inverse is formed by negating both p and q.

Answer:

F. If a triangle does not have 3 equal sides, then it is not equilateral.