Construction of a Rhombus When Both Diagonals Are Given.

Q. If length of the diagonals of rhombus ABCD are 8 cm and 6 cm, then each of its sides is ________.

1. 7 cm
2. 4 cm
3. 5 cm
4. 10 cm

Q.

Construct a rhombus the lengths of whose diagonals are 6 cm and 8 cm.

Q. Construct Rhombus BEND with BN = 5.6 cm, DE = 6.5 cm.

Q.

Using ruler and compasses only, construct a rhombus whose diagonals are 8 cm and 6 cm. Measure the length of its one side.

Q.

Construct a rhombus ABCD, if ;

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

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

(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.

Q.

Is it possible to construct a rhombus AJUN with AU = 24 cm and JN = 10 cm? If yes, what is the length of the side of the rhombus?

1. Yes, 11 cm

2. Yes 12 cm

3. Yes 13 cm

4. No, it is not possible

Q.

To construct a rhombus given the measure of its two diagonals, which property of the rhombus do we use?

1. 1

2. 2

3. 3

4. 4

Q. Construct a rhombus ABCD, with AC = 6 cm and BD = 4.6 cm.

Q. Construct a rhombus AJUN with AU = 24 cm and JN = 10 cm. Find the length of the side of the rhombus?

Q.

Rhombus with side 4 centimetres, angle between sides 30°.

Q.

Construct Rhombus BEND with BN = 5.6 cm, DE = 6.5 cm. [4 MARKS]

Q.

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

1. Diagonals bisect each other at right angles.

2. Diagonals bisect each other.

3. Opposite angles are equal.

4. All sides of a rhombus are equal.

Q. A rhombus has one diagonal double the other. If the area of rhombus is $kc{m}^2$. then the length of its side is

1. $\frac{5\sqrt{k}}{4}cm$
2. $\frac{\sqrt{5k}}{4}cm$
3. $\sqrt{\frac{5k}{4}}cm$
4. $\frac{k\sqrt{5}}{4}$

Q.

Construct a rhombus ABCD, with AC = 6 cm and BD = 4.6 cm. [4 MARKS]

Q.

Which property of a rhombus do we use to construct a rhombus given its two diagonals?

1. Opposite angles are equal
   

2. Diagonals bisect each other
   

3. Sides of a rhombus are equal
   

4. Diagonals bisect each other at right angle

Q.

Is it possible to construct a rhombus AJUN with AU = 24 cm and JN = 10 cm? If yes, what is the length of the side of the rhombus?

1. Yes, 11 cm

2. Yes 12 cm

3. Yes 13 cm

4. No, it is not possible

Q. If length of the diagonals of rhombus ABCD are 8 cm and 6 cm, then each of its sides is .

1. 10 cm
2. 5 cm
3. 7 cm
4. 4 cm

Q. If a rhombus AJUN has AU = 24 cm and JN = 10 cm, then the length of the side of the rhombus is

1. 12 cm
2. 11 cm
3. 13 cm
4. 14 cm

Q.

If the length of the diagonals of the rhombus is known, we can find out the side of the rhombus.

1. False

2. True

Q.

Which property of a rhombus do we use to construct a rhombus given its two diagonals?

1. Opposite angles are equal
   

2. Sides of a rhombus are equal
   

3. Diagonals bisect each other
   

4. Diagonals bisect each other at right angle

Q. Construct a rhombus ABCD, with AC = 6 cm and BD = 4.6 cm.