Construction of Rhombus Given its Diagonals

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.

2. All sides of a rhombus are equal.

3. Diagonals bisect each other at right angles.

4. Opposite angles are equal.

Q. An unique rhombus can be constructed using the measure of 2 diagonals.

1. True
2. False

Q. Draw a rhombus KLMN such that its side is 4 cm and m∠K = 75$°$.

Q. Construct a rhombus PQRS, with PR = 6.5 cm and QS = 3.6 cm.
$\left[3Marks\right]$

Q. Can you draw a rhombus SULK, where SU=3.5cm and UK= 5cm? Give reasons.

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.

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.

2. All sides of a rhombus are equal.

3. Diagonals bisect each other at right angles.

4. Opposite angles are equal.

Q. A unique rhombus can be constructed if its _____ is/are provided.

1. Diagonals
2. Sides
3. Area
4. Perimeter

Q. What is the minimum number of measurements required to construct a rhombus?

1. 1
2. 3
3. 4
4. 2

Q. A rhombus ABCD is to be constructed with side AB = 5 cm. Along with this, must also be specified to construct the rhombus.

1. AB
2. AC
3. BC

Q. Match the parameters required for constructing unique polygons

1. 5
2. 2
3. 1
4. 3

Q.

If DC = 7.3 cm, one of the angles is ${60}^{\circ }$ and the diagonals bisect each other at ${90}^{\circ }$, then which of the following figures can be constructed?

1. Rectangle

2. Square

3. Trapezium

4. Rhombus

Q.

A rhombus ABCD is to be constructed with side AD = 5 cm. Which of the following dimensions must also be specified to construct the rhombus?

1. AB

2. AC

3. BC

4. Given information is enough to construct the rhombus.

Q. A rhombus ABCD is to be constructed with side AB = 5 cm. Along with this, must also be specified to construct the rhombus.

1. AB
2. AC
3. BC

Q. Construct a rhombus ABCD in which AB = 4 cm and diagonal AC is 6.5 cm.

Q. Match the correct information required to construct the following quadrilaterals.

1. 2 diagonals
2. 2 adjacent sides
3. 1 side

Q. An unique rhombus can be constructed using the measure of 2 diagonals.

1. True
2. False