Construction of Rhombus

Q.

The quadrilateral formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a rhombus, if

1. ABCD is a rhombus

2. ABCD is a parallelogram

3. diagonals of ABCD are perpendicular

4. diagonals of ABCD are equal.

Q.

Construct the following quadrilateral: Rhombus $\text{BEST. BE = 4.5 cm, ET = 6 cm}$

Q.

With which of the following given measurements, a unique Kite named EASY can be formed?

1. 1

2. 2

3. 3

4. 4

Q. The area of a rhombus is $24c{m}^2$ and the length of one diagonal is $2cm$ more than the other. Construct the rhombus and measure the length of one side.

1. 3cm
2. 4cm
3. 5cm
4. 6 cm

Q. The area of a rhombus is $24c{m}^2$ and the length of one diagonal is $2cm$ more than the other. Construct the rhombus and measure the length of one side.

1. 6 cm
2. 5 cm
3. 4 cm
4. 3 cm

Q. The length of one of the diagonals of a rhombus is equal to the length of one of its sides. Find the angles of the rhombus.
[3 marks]

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

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

Q. Area of a rhombus is 120 square units. If the lengths of the diagonals are 10 units and (7x + 3) units, then find the value of x.

1. 3 units
2. 5 units
3. 6 units
4. 7 units

Q. Question 142
Two sticks each of length 7 cm are crossing each other such that they bisect each other at right angles. What shape is formed by joining their end points? Give reason.

Q. Lengths of the diagonals of a rhombus are 10 units and (7x + 3) units. If its area is $120c{m}^2$, find x.

1. 3

Q. Arjun was constructing a rhombus. During the construction, he found that, the measure of two diagonals are equal. Then, the quadrilateral he constructed will be a _____ .

1. trapezium
2. square
3. rectangle
4. parallelogram

Q. Lengths of the diagonals of a rhombus are 10 units and (7x + 3) units. If its area is $120c{m}^2$, find x.

1. 3

Q.

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

1. Given information is enough to construct the rhombus.

2. BC

3. AC

4. AD

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

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

Q. Minimum number of measurements required to construct a unique rhombus (which is not a square) =

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

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

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

Q. Lengths of the diagonals of a rhombus are 10 units and (7x + 3) units. If its area is $120c{m}^2$, find x.

1. 3

Q. what is the sum of all the angles of a rhombus?

Q. Lengths of the diagonals of a rhombus are 10 units and (7x + 3) units. If its area is $120c{m}^2$, find x.

1. 3