Understanding Quadrilaterals Worksheet for Class 8

Download free pdf of Understanding Quadrilaterals Worksheets for Class 8. Students can easily get all the Class 8 Maths Worksheets and Exercises in Free Printable ( PDF Format) as per the latest syllabus and examination pattern in CBSE and NCERT pattern. Below you will find all the Understanding Quadrilaterals related sums that are asked in 8th Grade Mathematics Exams Across Indian Schools.

Understanding Quadrilaterals Worksheets for Class 8 in PDF Format

Class 8 Understanding Quadrilaterals Practice Worksheet

Q.1 In a parallelogram ABCD, ∠B = ∠C. What is the degree measure of ∠B and ∠C.

Q.2 In a parallelogram ABCD the point of intersection of both diagonals AC and BD is O. If AC = 16 cm and BD = 12 cm then what is OA and OD.

Q.3 ABCD is a rhombus. If AB = 4 cm then what is the perimeter of ABCD?

Q.4 PQRS is a rhombus. If PO = 4 cm and OQ = 3 cm then what is PR + SQ?

Q.5 PQRS is a rhombus with PQ = 10 cm. If OQ = 6 cm then what is the length of the diagonal PR?

Q.6 In a rhombus RSTU if ∠R = 1200, then what is the measure of S.

Q.7 ABCD is a rhombus in which AO = 4cm and OB = 3 cm. What is the length of the side of the rhombus?

Q.8 What is the measure of each exterior angle of a regular polygon of 10 sides?

Q.9 How many sides does a regular polygon has if each of its interior angle is 160°?

Q.10 If the total angle sum of a polygon is 108° then how many sides does polygon has?

Q.11 ABCD is a parallelogram. The perimeter is 144 cm and BC = 20 cm then find AB.

Q.12 The ratio of two adjacent sides of a parallelogram is 5:4. Its perimeter is 18 cm then, what is the length of the adjacent sides.

Q.13 PQRS is a parallelogram and diagonals PR and SQ bisect at O. If PO = 3.5 cm and OQ = 4.1 cm. What is the length of the diagonals.

Q.14 ABCD is a rhombus whose diagonals AC and BD intersect at a point O. If side AB = 10cm and diagonal BD = 16 cm, find the length of diagonal AC.

Q.15 One of the diagonals of a rhombus is equal to one of its sides. Find the angles of the rhombus.

Q.16 The diagonals of a rhombus ABCD intersect at O. If ∠ADC = 120° and OD = 6 cm, find (i) OAD (ii) side AB (iii) perimeter of the rhombus ABCD.

Q.17 ABCD is a trapezium where AB parallel to CD. measure of ∠A = ∠B = 45°. Prove that AD=BC.

Q.18 Three angles of a quadrilateral are in the ratio 3:4:5. The difference of the least and the greatest of these angles is 45. Find all the four angles of the quadrilateral.

Multiple Choice Questions: Understanding Quadrilaterals – Class 8 Mathematics

Question 1: A quadrilateral with all sides of equal length and all angles of equal measure is called a:
a) Square
b) Rectangle
c) Parallelogram
d) Rhombus
Answer: a) Square

Question 2: A quadrilateral in which opposite sides are equal and parallel, and opposite angles are equal is called a:
a) Trapezium
b) Kite
c) Parallelogram
d) Rhombus
Answer: c) Parallelogram

Question 3: In a parallelogram, the opposite angles are:
a) Supplementary
b) Complementary
c) Equal
d) Right angles
Answer: c) Equal

Question 4: The sum of the angles of a quadrilateral is:
a) 360 degrees
b) 180 degrees
c) 90 degrees
d) 270 degrees
Answer: a) 360 degrees

Question 5: If the diagonals of a quadrilateral bisect each other at right angles, then the quadrilateral is a:
a) Parallelogram
b) Rectangle
c) Rhombus
d) Square
Answer: b) Rectangle

Question 6: A quadrilateral with exactly one pair of opposite sides parallel is called a:
a) Trapezium
b) Rhombus
c) Square
d) Parallelogram
Answer: a) Trapezium

Question 7: In a rhombus, each diagonal bisects:
a) Two angles
b) One angle
c) Four angles
d) Three angles
Answer: c) Four angles

Question 8: The angles opposite to equal sides of an isosceles trapezium are:
a) Right angles
b) Congruent
c) Supplementary
d) Equal
Answer: b) Congruent

Question 9: The diagonals of a rectangle are:
a) Equal and perpendicular
b) Equal and bisecting each other
c) Unequal and perpendicular
d) Unequal and bisecting each other
Answer: a) Equal and perpendicular

Question 10: A quadrilateral with all sides of different lengths and no angles of equal measure is called a:
a) Square
b) Rhombus
c) Parallelogram
d) Trapezium
Answer: d) Trapezium

Class 8 Maths Understanding Quadrilaterals

Fill In The Blanks

1. A simple closed curve made up of only …………… is called a polygon.
2. The measure of each interior angle of a regular polygon is 140°, then number of sides that regular polygon has …………….. .
3. The diagonals of a rhombus bisect each other at ………………… angles.
4. The diagonals of square bisect each other at …………………. angles.
5. The opposite angles of a parallelogram are ………………….. .