Drag the correct answers — task. Maths CBSE Live product, Class 9.

Answer variants:

Δ K O N ≅ Δ M O N

All the sides of a rhombus are equal

Δ K O N ≅ Δ N M O

Diagonals of a parallelogram bisect each other

∠ K O N + ∠ N M O = 180 °

Opposite sides of a parallelogram are equal

All the sides of a parallelogram are equal

Using parallelogram property

∠ K O N = ∠ M O N

O N = O N

∠ K O N + ∠ M O N = 180 °

Using CPCT

∠ K O N = ∠ N M O

O K = M N

Show that the diagonals of a rhombus are perpendicular to each other.

S. No.	Statement	Reason
1.	$KLMN$ is a parallelogram.	Rhombus is also a parallelogram.
2.	$O K = O M$
3.		Common side
4.	$K N = M N$
5.		$SSS$ Congruence rule
6.		CPCT
7.		Linear pair
8.	$∠ K O N = 90 °$

Hence, the diagonals of a rhombus are perpendicular to each other.

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8. Drag the correct answers