Question

Which of the following is the best name for the following definition?
A trapezoid with congruent legs and congruent bases.

isosceles trapezoid
parallelogram
trapezoid
quadrilateral

Answer 1

Answer:

parallelogram

Step-by-step explanation:

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Answer 2

The best name for a trapezoid with congruent legs and congruent bases is Option (B) parallelogram .

What is a trapezoid ?

A quadrilateral with at least one pair of parallel sides is called, a trapezoid. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles trapezoid).

What is the shape of a trapezoid with congruent legs and congruent bases ?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Therefore, a trapezoid having parallel sides with congruent legs and bases have the opposite adjacent sides of equal lengths. The shape thus will form a parallelogram satisfying each and every property.

Thus, the best name for a trapezoid with congruent legs and congruent bases is Option (B) parallelogram .

To learn more about trapezoid, refer -

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