Question

a statement is shown. if the base angles of a triangle are congruent, then the triangle is an isosceles triangle. which is the inverse of the statement? if a triangle is an isosceles triangle, then the base angles of a triangle are congruent. if the base angles of a triangle are not congruent, then the triangle is an isosceles triangle. if a triangle is not an isosceles triangle, then the base angles of the triangle are not congruent. if the base angles of a triangle are not congruent, then the triangle is not an isosceles triangle.

Explanation:

The inverse of a conditional statement "If p, then q" is "If not p, then not q". Here, p is "the base angles of a triangle are congruent" and q is "the triangle is an isosceles triangle". So the inverse is formed by negating both p and q.

Answer:

If the base angles of a triangle are not congruent, then the triangle is not an isosceles triangle.