Drag the correct answers — task. Mathematics CBSE, Class 9.

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Answer variants:

O W = O W

∠ W O X = ∠ Z O W

Using CPCT

∠ W O X = ∠ W Z O

O X = Z W

All the sides of a parallelogram are equal

All the sides of a rhombus are equal

Δ W O X ≅ Δ Z O W

Using parallelogram property

Δ W O X ≅ Δ W Z O

Opposite sides of a parallelogram are equal

∠ W O X + ∠ Z O W = 180 °

Diagonals of a parallelogram bisect each other

∠ W O X + ∠ W Z O = 180 °

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.	$O X = O Z$
3.		Common side
4.	$W X = Z W$
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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10. Drag the correct answers