Drag the correct answers — task. Maths CBSE Homework Assignments, Class 9.

Answer variants:

Using parallelogram property

Opposite sides of a parallelogram are equal

∠ A O B = ∠ B O C

A B = O C

∠ A O B + ∠ B O C = 180 °

Δ A O B ≅ Δ B C O

Δ A O B ≅ Δ B O C

O B = O B

Using CPCT

∠ A O B = ∠ B C O

Diagonals of a parallelogram bisect each other

All the sides of a parallelogram are equal

∠ A O B + ∠ B C O = 180 °

All the sides of a rhombus are equal

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

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

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

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