Question

Prove that the sides opposite the congruent base angles of a triangle are congruent. Be sure to create and name the appropriate geometric figures. (10 points)

Answer 1

See explanation

Explanation:

Start by dividing the isosceles triangle in half along the upper vertex angle (not the congruent base angles). This creates two right triangles. Since you divide the triangle in half along an angle, they both have an equal base angle, and they share a side, they are congruent by ASA. Since the corresponding sides of congruent triangles are equal, the sides opposite the congruent base angles of a triangle must be congruent.

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