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Question

# To construct a rhombus ABCD given AB=4 cm and ∠ABC=120∘, which of the following properties of rhombus do we use?

A

All sides of rhombus are equal.

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B

Diagonals bisect each other.

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C

Diagonals bisect each other at right angles.

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D

Opposite angles are equal.

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Solution

## The correct option is A All sides of rhombus are equal. We know that all sides of a rhombus are equal. To construct the rhombus using the given information follow the given steps: (1)Draw AB=4 cm (2)At B construct ray BX such that ∠ABX=120∘ (3)With B as centre and 4 cm radius cut BX at C. (4)With C as centre and 4 cm radius draw an arc. (5)With A as centre and 4 cm radius cut the previous arc at D. (6)Join CD and AD to get rhombus ABCD.

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