Question

18. In whichquadrilateral both diagonals are equal and bisect each other at night
angle.​

Answer 1

Step-by-step explanation:

HEY MATE ..

A quadrilateral whose diagonals bisect each other at right angles is a rhombus.

Proof

Let ABCD be a quadrilateral whose diagonals bisecteach other at right angles at M

.We prove that DA = AB. It follows similarly that AB = BC and BC = CD triangle AMB equiv triangle AMD (SAS)

AMD (SAS)

So AB = AD and by the first test above ABCD is a rhombus.

A quadrilateral whose diagonals bisect each other is a parallelogram, so this test is often stated as‘If the diagonals of a parallelogram are perpendicular, then it is a rhombus.’

⇒ All sides of square are equal and its diagonals also equal.

⇒ Diagonals of square are bisect each other perpendicularly

.∴ A quadrilateral whose diagonals are equal and bisect each other at right angles is called a: Square.

Answer 2

Answer:

SQUARE

Step-by-step explanation:

⇒  All sides of square are equal and its diagonals also equal.

⇒  Diagonals of square are bisect each other perpendicularly.

∴  A quadrilateral whose diagonals are equal and bisect each other at right angles is called a Square.