Question

Write the proofs of the following statements.
Diagonals of a square are perpendicular bisectors of each other.
Diagonals of a rhombus bisect its opposite angles.
Diagonals of a square bisect its opposite angles.​

Answer 1

Step-by-step explanation:

Diagonals of a rectangle are equal in length but does not bisect each other perpendicularly. So, first statement is false.

⇒ Not all types of parallelogram diagonals bisect each other perpendicularly, so third statement is also false.

⇒ Diagonals of rhombus bisect each other perpendicularly.

So, only second statement is correct.

Answer 2

Diagonal of a square are perpendicular bisector of ech other.