Question

Draw the trapezoid described. If such a trapezoid cannot be drawn, explain why not.

With congruent bases.

Short answer

The trapezoid with congruent bases cannot be drawn.

Step-by-step solution

Step 1. Apply the concept of the trapezoid.

A trapezoid, also known as a trapezium, 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 the trapezoid is a quadrilateral with one pair of parallel lines.

The trapezoid with congruent legs exists, congruent base angles exist. But trapezoid with

Congruent bases do not exist.

Step 3. Step description.

Since the trapezoid with congruent bases does not exist therefore cannot be drawn.

Thus, the trapezoid with congruent bases cannot be drawn.