Class 8 Exam  >  Class 8 Notes  >  Mathematics (Maths) Class 8  >  Worksheet: Understanding Quadrilaterals

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

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

A) 720°
B) 1080°
C) 1260°
D) 1440°

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

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

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°

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

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

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

True/False

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

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

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

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

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

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

Very Short Answer Questions

Q1: Write down the formula of area of rhombus.

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

Q3:  Name the quadrilateral whose diagonals are equal.

Q4: Each angle of a square measures ___°.

Q5: How many parallel lines are in a trapezium?

Q6: Which figure is equiangular and equilateral polygons?

Q7: It rhombus also satisfied the properties of a_______.

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

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

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.

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.

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

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

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

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

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

You can access the solutions to this worksheet here.

The document Understanding Quadrilaterals Class 8 Worksheet Maths Chapter 3 is a part of the Class 8 Course Mathematics (Maths) Class 8.
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FAQs on Understanding Quadrilaterals Class 8 Worksheet Maths Chapter 3

1. What are the properties of quadrilaterals?
Ans. Quadrilaterals have four sides, four vertices, and four angles. The sum of the interior angles of a quadrilateral is always 360 degrees. Different types of quadrilaterals, like rectangles, squares, and rhombuses, have additional specific properties.
2. How do you classify quadrilaterals?
Ans. Quadrilaterals can be classified into several categories based on their properties, such as parallelograms, trapezoids, rectangles, rhombuses, squares, and kites. Each type has unique characteristics that differentiate it from others.
3. What is the difference between a rectangle and a square?
Ans. A rectangle is a quadrilateral with opposite sides equal and all angles measuring 90 degrees. A square is a special type of rectangle where all four sides are equal in length. Therefore, all squares are rectangles, but not all rectangles are squares.
4. Can a quadrilateral have equal sides and unequal angles?
Ans. Yes, a quadrilateral can have equal sides and unequal angles. This type of quadrilateral is known as a rhombus. In a rhombus, all four sides are equal, but the angles can vary as long as the opposite angles remain equal.
5. How do you calculate the area of a trapezoid?
Ans. The area of a trapezoid can be calculated using the formula: Area = (1/2) × (Base1 + Base2) × Height, where Base1 and Base2 are the lengths of the two parallel sides, and Height is the perpendicular distance between them.
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