Question

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

Two equilateral triangles with congruent bases are ___ congruent.

Short answer

Two equilateral triangles with congruent bases are alwayscongruent.

Step-by-step solution

Step 1. Apply the concept of an equilateral triangle.

The equilateral triangle is a triangle that has three equal sides and three equal angles.

Step 2. Check the figure.

Consider the figure.

From the figure, only one side conjugacy is enough to show that equilateral triangles are congruent.

Step 3. Step description.

If base of two triangles are same, then all sides of the two triangles are same. Also, Corresponding angles are congruent.

Therefore, the two equilateral triangles with congruent bases are always congruent.