# Understanding Quadrilaterals Class 8 Worksheets

Understanding Quadrilaterals Class 8 Worksheets play a very important role in revising the maths concepts.

1. Find the measure of each interior angle of a regular

a. heptagon

b. hexagon

c. octagon

d. decagon

e. nonagon

2. Fill in the blanks.

a. A closed plane figure bounded by 4 line segments is called a ___________.

b. A polygon has the same number of interior angles as it has ___________.

c. If all the angles of a polygon are less than 180°, then it is called a ___________ polygon.

d. The diagonals of a square bisect each other at ___________ angles.

3. Find the number of sides of a regular polygon, if each of its exterior angle is

a. 72°

b. 12°

c. 10°

d. 36°

4. The exterior angles of a pentagon are in the ratio 3 : 5 : 2 : 1 : 4. Find all the interior angles.

5. Find the sum of the interior angles of a polygon with

a. 12 sides

b. 17 sides

c. 9 sides

d. 15 sides

6. An octagon has 4 equal angles each of 175° and other four angles are also equal. Find the measure of each angle.

7. Find the value of x and y in the following figure.

8. Find the value of x, y and z.

a. A quadrilateral in which both pairs of opposites sides are parallel is known as a

i. trapezium

ii. circle

iii. parallelogram

iv. kite

b. Each of the angles of a rectangle measures

i. 60°

ii. 180°

iii. 90°

iv. 75°

c. All regular polygons are

i. concave

ii. convex

iii. parallelogram

1. Show that the diagonals of a rhombus are equal.

2. Fill in the blanks.

a. Line segments enclosing a polygon are called the ___________ of the polygon.

b. ___________ is a quadrilateral whose one pair of opposite sides are parallel but other two sides are non-parallel.

c. ___________ is a parallelogram with four equal sides and whose diagonals are equal.

d. The measure of each interior angle of a decagon is ___________.

3. The angles of a hexagon are in the ratio 1 : 8 : 3 : 5 : 2 : 1. Calculate the measure of each angle.

4. Match the following with its correct number of sides.

a. triangle                     i. 10

b. pentagon                  ii. 3

d. nonagon                   iv. 4

e. decagon                    v. 9

5. What is the measure of each interior angle of a regular nonagon?

6. If each interior angle of a regular polygon is 11 times the corresponding exterior angle, calculate the number of sides of the polygon.

7. Find the value of x and y in the following figure.

8. If XYZW is an isosceles trapezium in which Z is 80°, find the remaining angles.

Worksheet 1

1. a. 1284/7°      b. 120°

c. 135°           d. 144°

e. 140°

c. convex             d. right

3. a. 5            b. 30

c. 36          d. 10

4. 72°, 120°, 48°, 24°, 96°

5. a. 1800°      b. 2700°

c. 1260°       d. 2340°

6. 95°

7. x = 40°; y = 140°

8. x = 20°; y = 60°; z = 100°

9. a. iii           b. iii

c. ii

Worksheet 2

1. Do it yourself

2. a. sides      b. Trapezium

c. Square    d. 144°

3. 36°, 288°, 108°, 180°, 72°, 36°

4. a. ii           b. iii

c. iv          d. v

e. i

5. 140°         6. 24

7. x = 150°; y = 30°

8. X = 100°; Y = 80°; W = 100°

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