Quadrilateral ABCD has diagonals that are congruent and perpendicular to each other. What classification can be given to ABCD?
A. Parallelogram
B. Rectangle
C. Kite
D. Square

Respuesta :

Answer:

Square

D is correct.

Step-by-step explanation:

Quadrilateral ABCD has diagonals that are congruent and perpendicular to each other.

As we know quadrilateral has four sides and it has two diagonal.

Here we are given two diagonals are congruent and perpendicular to each other.

We will see each option and choose correct one.

Option A: Parallelogram.

Diagonals of parallelogram are bisect each other but they are not equal and perpendicular to each other.

False

Option B:  Rectangle

Diagonals of rectangle are bisect each other but they are congruent but not  perpendicular to each other.

False

Option C: Kite

Diagonals of kite are perpendicular to each other. But they are not equal.

False

Option D: Square

Diagonal of square are congruent and perpendicular to each other.

True

Hence, The given classification can be square.