Question

Quadrilateral ABCD has opposite sides that are parallel and side AB congruent to side DC. What classification can be given to ABCD

Answer 1

One pair of opposite sides both parallel and congruent implies a parallelogram.

Answer 2

Parallelogram

Explanation:

We are given that a quadrilateral ABCD.

Quadrilateral ABCD has opposite sides that are parallel Sides.It means side BA is parallel to side CD and side BC is parallel to side AD

AB is congruent to side DC.It means side AB is equal to side DC.

We have to find the classification of given ABCD.

We know that parallelogram in opposite sides are equal and opposite side are equal.

Rectangle in which opposite side are equal and parallel and each angle is equal to 90 degrees.

When opposite sides of quadrilateral are parallel and AB is equal to DC then the quadrilateral is parallelogram.

Hence, the given quadrilateral ABCD isa parallelogram.