Understanding Quadrilaterals Class 8 Worksheet Maths Chapter 3

Multiple Choice Questions (MCQs)

Q1: What is the number of diagonals in a 6-sided polygon?

A) 6
B) 7
C) 9
D) 10

Ans. C) 

Q2: What will be the sum of interior angles of a polygon having 8 sides?

A) 720°
B) 1080°
C) 1260°
D) 1440°

Ans. B)

Q3: Find out the number of sides of a regular polygon whose exterior angles are 60°.

A) 3
B) 4
C) 6
D) 12

Ans. C)

Q4: The sides of a quadrilateral are in the ratio of 2:5:4:1. Find out the sum of the smallest and largest angles.

A) 120°
B) 180°
C) 240°
D) 360°

Ans. C)

Q5: If the area of a square field is 144 sq m, then find the perimeter.

A) 24 m
B) 36 m
C) 48 m
D) 60 m

Ans. C)

Q6: If the base of a triangle is 3 cm and the height is 6 cm, then find the area.

A) 6 sq cm
B) 9 sq cm
C) 12 sq cm
D) 18 sq cm

Ans. B)

Q7: A square field has a diagonal of 8 m. Then find out the area of the field.

A) 32 sq m
B) 48 sq m
C) 64 sq m
D) 128 sq m

Ans. A)

True/False

Q1: The sum of interior angles of a polygon having 8 sides is 1080°. 

Ans. True

Q2: A regular polygon with exterior angles of 60° has 6 sides. 

Ans. True

Q3: The sum of the smallest and largest angles of a quadrilateral, with sides in the ratio 2:5:4:1, is 240°. 

Ans. True

Q4: The perimeter of a square field, with an area of 144 sq m, is 48 m. 

Ans. True

Q5: The area of a triangle with a base of 3 cm and height of 6 cm is 9 sq cm. 

Ans. True

Q6: A square field with a diagonal of 8 m has an area of 32 sq m. 

Ans. True

Very Short Answer Questions

Q1: Write down the formula of area of rhombus.

Ans. ½ × product of diagonals

Q2:  Can all the angles of a quadrilateral be right angles?

Ans. Yes, all the angles of a quadrilateral can be right angles.

Q3:  Name the quadrilateral whose diagonals are equal.

Ans. Square, rectangles

Q4: Each angle of a square measures ___°.

Ans. 90°

Q5: How many parallel lines are in a trapezium?

Ans. 2

Q6: Which figure is equiangular and equilateral polygons?

Ans. Square

Q7: It rhombus also satisfied the properties of a_______.

Ans. Parallelogram

Q8: If the diagonals of a quadrilateral are perpendicular bisectors of each other then it is always a______.

Ans. Rhombus

Q9: the sum of all angles in a quadrilateral is equal to_____ right angles.

Ans. 4

Short Answer Questions

Q1: A room has a length of 10 m, breadth of 5m and height of 8 m. Find out the area of the room.

Ans. 2×(10+15)×8 sq m
= 400 cm sq

Q2: The length of one side of a rhombus is 6.5 centimeters and its altitude is 10 centimeter. if the length of one side of its diagonals is 26 centimeter find the length of the other diagonal.

Ans. Area= 6.5×10 cm sq
= 65sq. Cm
Let, other diagonal=x cm
So, ½ × x ×26=65
X=5cm.

Q3: If three angles of a trapezium is 50°, 130° and 120°. Then find the other angle.

Ans. 360°- (50+130+120)°
=60°

Q4: If two adjacent angles of a parallelogram are in the ratio 2:3 Find all the angles of the parallelogram.

 Ans. P=2x
Q=3x
So, 5x=180°
Therefore x=36°
So, P=72° and Q=108°
So R= 72° {opposite of P}
S=108° {opposite of Q}

Q5: if the angles of a quadrilateral are in the ratio 3:6:8:13. The largest angle is?

Ans. 3x+6x+8x+13x=360
13X=150°

Q6: diagonals of a quadrilateral ABCD bisect each other. If A=45°. Then B=?

Ans. A+B=180°
45°+B=180°
So, B=135°

Q7: The angles of a quadrilateral are x°, x+5°, x+10°, x+25°. Then find the value of x.

Ans. X+(x+5)+(x+10)+(x+25)=360
X=80°