A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. Properties of rhombus: All sides of the rhombus are equal. The opposite sides of a rhombus are parallel. Opposite angles of a rhombus are equal. In a rhombus, diagonals bisect each other at right angles.

A trapezium is a quadrilateral, which is defined as a shape with four sides and one set of parallel sides. Apart from trapezium, there are four more types of quadrilaterals such as parallelogram, rectangle, square and rhombus. All these quadrilaterals have one common property which is, the sum of all the angles is 360 ° .

EASY

Earn 100

What is rhombus.

Important Questions on Quadrilaterals and Circles

EASY

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

The length of one side and the diagonal of a rectangle are

10 cm

and

26 cm

respectively. Find the length of the other side (in

cm

EASY

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

The perimeter of a rhombus is

20 cm

. The length of one of its diagonals is

6 cm

. What is the length of the other diagonal?

EASY

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

Land is acquired for road widening from a square ground, as shown in the figure. The width of the acquired land is $2 m$ . Area of the remaining ground is $440 m^{2}$ . What is the shape of the remaining ground?

Question Image

EASY

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

The diagonal of a rhombus is

8 m

and

6 m

respectively. Find its area.

HARD

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

The perimeter of a rectangle is 42 cm. If its diagonal is 15 cm long, find the breadth of the rectangle.

(A) 8 cm.

(B) 10 cm.

(D) 7 cm.

MEDIUM

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

X, Y and Z are the midpoints of the sides of ∆PQR. If the perimeter of ∆XYZ is 32 units, find the perimeter of ∆PQR.

(A) 128 units

(B) 64 units

(D) 160 units

EASY

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

△ X Y Z

is right angled at

Y

. If

m ∠ X = 60^{o}

, then find the value of

(c o t Z + 2)

MEDIUM

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

What is the area (in

{cm}^{2}

) of the rhombus having side as

20 cm

and one of the diagonal as

24 cm

MEDIUM

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

If the length of a rectangle is decreased by

5

metres and breadth increased by

3

metres, its area decreases by

9 m^{2}

. If its length is increased by

3 m

and breadth by

2 m

, its area increases by

67

m^{2}

. What is the length of the rectangle ?

EASY

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

The perimeter of a rhombus is

52 m

, while its longer diagonal has a length of

24 m

. The length of the other diagonal is?

EASY

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

Define: a trapezium

EASY

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

If the length of a diagonal

A C

of a square

A B C D

5.2 c m

, then the area of the square

A B C D

is?

MEDIUM

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

All squares are quadrilaterals.

MEDIUM

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

State the properties of a rhombus.

EASY

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

The ratio of the corresponding sides of two similar triangles is

3 : 4

. The ratio of their areas?

MEDIUM

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

The perimeter of a rhombus is

40 cm

. If the length of one of its diagonals be

12 cm

, Find the length of the other diagonal.

EASY

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

The two diagonals of a quadrilateral are

5 cm

and

4 cm

. Can it be a rectangle? Give reasons.

MEDIUM

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

In the adjoining figure, $A B C D$ is a trapezium in which $B C, A D$ and its diagonals interest at $O$ . If $A O = (3 x - 1)$ , $O C = (5 x - 3)$ , $B O = (2 x + 1)$ and $O D = (6 x - 5)$ then $x$ is equal to:

Question Image

MEDIUM

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

Which of the following is not true?

EASY

Mathematics>Geometry>Quadrilaterals and Circles>Quadrilaterals and its Types

Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measures.

What is rhombus.

Important Questions on Quadrilaterals and Circles

Learn and Prepare for any exam you want !

What is rhombus.