Question

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

A trapezoid ___ has three congruent sides.

Short answer

A trapezoid never has three congruent sides.

Step-by-step solution

Step 1. Apply the concept of a trapezoid.

A trapezoid is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and their non-parallel sides are called legs.

Step 2. Step description.

Since a trapezoid is a quadrilateral with only one pair of parallel sides. The parallel sides are called bases and the other sides are legs.

Also, a trapezoid with congruent legs is called an isosceles trapezoid, thus a trapezoid can have at most two sides congruent.

Step 3. Step description.

Since a trapezoid can have at most two sides congruent thus a trapezoid never has three sides congruent.

Therefore, a trapezoid never has three sides congruent.