Construction of a Number of Rhombus

Q.

In a quadrilateral ABCD, 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.

State true or false.

The minimum number of measurements required to construct a unique rhombus is 3.

1. True

2. False

Q. A parallelogram ABCD is constructed with sides BC = 6 cm, AB = 4 cm, and ∠ADC = 90°. Then, ABCD is a:

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

Q. Statement 1: In order to construct a rhombus, we require 2 variables.
Statement 2: Since the square is a rhombus, we need 2 variables to construct a square.

1. Only statement 1 is correct
2. Only statement 2 is correct
3. Both statements are incorrect
4. Both statements are correct

Q. In the figure given below, all the four sides are equal. The construction of which figure is shown in the diagram?

1. Rhombus
2. Rectangle
3. Trapezium
4. Kite

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, 12 cm

2. Yes, 13 cm

3. No, it is not possible

4. Yes, 11 cm

Q. Construct a rectangle ABCD, when:

Q.

In a quadrilateral ABCD, 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. trapezium

3. rhombus

4. square

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. Construct a trapezium $ABCD$ when one of parallel sides $AB=4.8cm$, height $=2.6cm,BC=3.1cm$ and $AD=3.6cm.$

Q. Side = $5.0$ cm and one diagonal = $5.6$ cm.

Q. Construct a rhombus ABCD, given it's side = 5.4 cm and one diagonal=7.0 cm.

Q.

Which property is used to construct a rhombus given one side and one angle?

1. All sides of a rhombus are equal

2. Diagonals bisect each other

3. Diagonals bisect at right angles

4. Opposite angles are equal