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

Answer variants:

∠ W O X = ∠ X Y O

Diagonals of a parallelogram bisect each other

O X = O X

Δ W O X ≅ Δ X Y O

Opposite sides of a parallelogram are equal

Δ W O X ≅ Δ X O Y

Using CPCT

∠ W O X + ∠ X Y O = 180 °

∠ W O X = ∠ X O Y

All the sides of a rhombus are equal

∠ W O X + ∠ X O Y = 180 °

Using parallelogram property

All the sides of a parallelogram are equal

W X = O Y

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

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

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

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