Question

Quadrilateral ABCD has all congruent sides and opposite angles that are congruent. What classification can be given to ABCD?

A. Parallelogram

B. Rectangle

C. Rhombus

D. Square

Answer 1

The correct answer is C. Rhombus

Explanation:

By definition, a Rhombus has four congruent sides which are also parallel. A Rhombus opposite angles are congruent. A Rhombus also has consecutive angles that are supplementary. Its diagonals bisect the angles too.

Answer 2

By using the theorem,

"If the diagonals of a quadrilateral bisect each other and have the same length, then the quadrilateral is a rectangle."

By the rectangle the opposite sides are equal and and the opposite angles are congruent.

Thus the Quadrilateral ABCD has all congruent sides and opposite angles that are congruent is given by Rectangle.