The document Worksheet Questions- Understanding Quadrilaterals Class 8 Notes | EduRev is a part of the Class 8 Course Mathematics (Maths) Class 8.

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**Worksheet- 1**

**1.** What is the sum of all the interior angles of a polygon having ‘n’ sides?**2. **What is the sum of all the exterior angles of a polygon?**3.** What is the measure of an exterior angle of a regular octagon?**4. **What is the measure of an interior angle of a regular hexagon?**5.** If the exterior angle of a regular polygon is 72°, then what is the number of sides of the polygon?**6.** If the interior angle of a regular polygon is 144°, then what is the number of its sides?

**Answers**

**1.** (n – 2) x 180°**2.** 360°**3. **45°**4.** 120°**5.** 5**6.** 10**Worksheet- 2****1.** In a parallelogram ABCD, if m∠A = 124°, then find the m∠B.**2.** PQRS is a parallelogram such that m–R = 110°, then find m–P and –S.**3. **Two opposite angles of a parallelogram are (5x – 8)° and (2x + 82)°. Find the measures of each angle of the parallelogram.**4.** In the figure, find all the angles of the parallelogram ABCD, if m–A : m–B = 1 : 4.

**5.** Find the perimeter of the parallelogram BCDE.**6.** In the figure, PQRS is a parallelogram. Find x, y and z.**7.** JKLM is a parallelogram. If m–J = 70°, then find all other angles.**8.** In a parallelogram if measures of two adjacent angles are in the ratio of 4 : 5, find all the angles.**9.** ABCD is a parallelogram. Given than OC = 4 cm and DB is 5 cm more than AC, find OD.

10. If ABCD is an isosceles trapezium such that m–CDA = 3x and m–BAD = 2x. Find all angles of the trapezium.

**Answers****1.** 56°

**2.** m∠P = 110° and m∠S = 70°**3.** 142°, 38°, 142°, 38°**4.** 36°, 144°, 36°, 144°

**5. **38 cm**6.** x = 100°, y = 100°, z = 80°**7.** m∠M = 110°, m∠L = 70° and m∠K = 110°.**8.** 80°, 100°, 80°, 100°**9.** 6.5 cm**10.** 108°, 72°, 108°, 72°.**Worksheet- 3****1. Fill in the blanks:**

(i) The diagonals of a rhombus bisect each other at ________.

(ii) All angles of a rectangle are equal and are ________ angles.

(iii) All sides of a ________ are equal and all angles are right angles.

(iv) A rhombus is a quadrilateral with ________ of equal length.

(v) A square has sides of equal length and angles of equal measure, so it is a ________ polygon.**2. Write ‘True’ or ‘False’ for each of the following:**

(i) Every rhombus is a square.

(ii) Every square is a rhombus.

(iii) Every rhombus is a rectangle.

(iv) Every rectangle is a rhombus.

(v) Every rhombus is a parallelogram.

(vi) Diagonals of a rhombus need not be equal in length.

(vii) Every parallelogram is a rectangle.**Answers****1.** (i) right angles

(ii) right

(iii) square

(iv) sides

(v) regular**2.** (i) False

(ii) True

(iii) False

(iv) False

(v) True

(vi) True

(vii) False

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135 videos|321 docs|48 tests

- Properties of Parallelogram
- Properties of Rhombus, Rectangle and Square
- NCERT Solutions(Part- 4)- Understanding Quadrilaterals
- Proof: Diagonals of a Rhombus are Perpendicular Bisectors of one another
- Proof: Opposite Angles of a Parallelogram are Equal
- Proof: Diagonals of a Rectangle are of equal Length and Bisect each other