To construct rhombus ABCD given CD =5 cm and diagonal BD =8.5 cm, which of the properties of rhombus do we use?

Diagonals bisect each other at right angles.

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Diagonals bisect each other.

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Opposite angles are equal.

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All sides of a rhombus are equal.

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Solution

The correct option is D
All sides of a rhombus are equal.

To construct the rhombus ABCD follow the given steps.

(1)Draw BD=8.5 cm

(2)With B as the centre and 5 cm radius cut arcs above and below BD.

(3)With C as centre and 5 cm radius cut previous arc at C and A

(4)Join BC,BA, CD and AD

(5)We have drawn the rhombus using the property all sides of a rhombus are equal.

Hence (B)

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Similar questions

Construct a rhombus ABCD, if ;

(i) AB = 4 cm and $∠ B = 120^{\circ}$ .

(ii) BC = 4.7 cm and $∠ B = 75^{\circ}$

(iii) CD = 5 cm and diagonal BD = 8.5 cm.

(iv) BC = 4.8 cm, and diagonal AC = 7 cm.

(v) diagonal AC = 6 cm and diagonal BD = 5.8 cm.

(vi) diagonal AC = 4.9 cm and diagonal BD = 6 cm.

(vii) diagonal AC = 6.6 cm and diagonal BD = 5.3 cm.

To construct rhombus ABCD given CD =5 cm and diagonal BD =8.5 cm, which of the properties of rhombus do we use?

To construct a rhombus ABCD given AB=4 cm and $∠ A B C = 120^{\circ}$ , which of the following properties of rhombus do we use?

A B C D

B D = 6.8 c m

A C = 5.4 c m

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