Question

if a triangle has equal base angles, then it has reflective symmetry. a triangle has two equal sides if and only if it is isosceles. if a triangle is isosceles, then its base angles are equal.

Explanation:

Step1: Recall isosceles - triangle properties

An isosceles triangle is defined as a triangle with two equal sides. Also, the base - angles of an isosceles triangle are equal. And a triangle with equal base - angles is isosceles. Also, an isosceles triangle has reflective symmetry.

Step2: Analyze the statements

The first statement "If a triangle has equal base angles, then it has reflective symmetry" is true because a triangle with equal base angles is isosceles and isosceles triangles have reflective symmetry. The second statement "A triangle has two equal sides if and only if it is isosceles" is the definition of an isosceles triangle. The third statement "If a triangle is isosceles, then its base angles are equal" is a well - known property of isosceles triangles.

Answer:

All the statements are True.