Answer:
Square
D is correct.
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.