Question

Complete the following statement with the word always, sometimes, or never.

Two isosceles tringles with congruent vertex angles are ___ congruent.

Short answer

Two isosceles triangles with congruent vertex angles are sometimescongruent.

Step-by-step solution

Step 1. Apply the concept of an isosceles triangle.

An isosceles triangle is a triangle that has both two equal sides and two equal angles.

Step 2. Step description.

The two isosceles triangles with congruent angles are always similar but sometimescongruent.

The corresponding sides are not always congruent.

Step 3. Step description.

Two isosceles triangles with congruent vertex angles are not always congruent therefore the statement is “Two isosceles triangles with congruent vertex angles are sometimescongruent.