Question

Which of the following matches a quadrilateral with the listed characteristics below?

1. All four sides congruent
2. Both pairs of opposite sides parallel
3. Diagonals are perpendicular

A.
Rhombus

B.
Parallelogram

C.
Rectangle

D.
Trapezoid

Answer 1

Option (A)

Explanation:

By the characteristics of a quadrilateral given in the question,

1). All four sides are congruent.

It may be Square, Rhombus

2). Both the pairs of opposite sides are parallel.

It may be Parallelogram, Rhombus.

3). Diagonals are perpendicular.

It may be Rhombus, Rectangle, Square.

Since all three characteristics define the properties of a Rhombus,

The given quadrilateral matches with a rhombus.

Therefore, Option (A) will be the answer.