# Free Understanding Quadrilaterals 01 Practice Test - 8th Grade

### Question 1

A polygon comes under which of the following categories?

Plane figure

Simple Closed Curve

Curve not closed

3D representation

#### SOLUTION

Solution :A and B

The polygon is a simple closed curve made up of line segments. Each line segment represents a side of a polygon.

The polygon is also a plane figure with atleast three sides and three angles.

### Question 2

The sum of exterior angles of a polygon (in degrees) with 10 sides is

#### SOLUTION

Solution :The sum of all exterior angles of a polygon, irrespective of the number of its sides, is equal to 360∘. If the polygon is regular, the measure of each exterior angle can be calculated by dividing 360∘ by the total number of sides in the polygon.

### Question 3

A quadrilateral has two of its angles as 30∘ and 40∘. What type of quadrilateral can it be?

Trapezium

Parallelogram

Rectangle

#### SOLUTION

Solution :A

In square and rectangle each angle is 900.

In a parallelogram, two adjacent angles have to be either equal or supplementary. The angles 30∘ and 40∘ are neither supplementary nor equal. So, the two angles cannot belong to a parallelogram.

For trapezium, there are no such restrictions. So, the given qudrilateral is a trapezium.

### Question 4

A square is also a

Rhombus

Parallelogram

Trapezium

#### SOLUTION

Solution :A, B, and C

A square is a parallelogram because it has opposite pairs of sides parallel and equal.

It is also a rhombus because it has all its sides equal, opposite sides are parallel and the diagonals intersect at 90∘.

A square is also a rectangle because all its angles are 90∘ and its pair of opposite sides are equal and parallel.

A square can't be a trapezium as in trapezium only one of the opposite sides are parallel.

### Question 5

Consider the figure shown. What type of quadrilateral can it be?

Parallelogram

Kite

Triangle

#### SOLUTION

Solution :B

In the given figure the pair of opposite sides are parallel and equal. So, the given figure is a parallelogram.

Among the options, the quadrilateral ABCD can be either 'Rhombus' or 'Parallelogram'. [∵ Rhombus is also a parallelogram]

But adajcent sides of ABCD are not equal (ie, AD and CD are not equal).

So, ABCD cannot be a rhombus. Hence, ABCD is a paralleogram.

### Question 6

The number of sides in a kite is

#### SOLUTION

Solution :A kite is a quadrilateral. Hence it has 4 sides.

### Question 7

I draw a quadrilateral and then draw all its diagonals.How many triangles can I find?

3

2

8

1

#### SOLUTION

Solution :C

The triangles are-

ΔABD,ΔCBD,ΔABC,ΔDCA,ΔAED,ΔCED,ΔBEC,ΔAEB⟹There are 8 triangles in the figure.

### Question 8

In parallelogram ABCD, which of the two angles are equal?

Angles A & B

Angles B & C

Angles A & C

Angles C & D

#### SOLUTION

Solution :C

In a parallelogram, the two opposite angles are equal. Hence, if the four vertices of a parallelogram are A, B, C, D in cyclic order, then ∠A & ∠C and ∠B & ∠D are equal.

### Question 9

In parallelogram ABCD, which of the 2 sides are equal?

AB & BC

AB & AD

CD & BC

AB & CD

#### SOLUTION

Solution :D

The opposite sides of a parallelogram are equal.

Hence, sides AB & CD (if the cyclic order of the vertices are A, B, C, D) are opposite sides and are equal.

### Question 10

There is a pair of parallel lines which intersects with another pair of parallel lines. The quadrilateral formed is trapezium.

True

False

#### SOLUTION

Solution :B

The quadrilateral formed between two pairs of parallel lines is a parallelogram. In a trapezium, the only one pair of opposite sides is parallel.