Understanding Quadrilaterals Class 8 Worksheet 1 with Answers
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.
9. Choose the correct answer.
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
iv. quadrilateral
Understanding Quadrilaterals Class 8 Worksheet 2 with Answers
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
c.
quadrilateral iii.
5
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.
ANSWERS
Worksheet
1
1. a. 1284/7° b. 120°
c. 135° d. 144°
e. 140°
2. a. quadrilateral b. side
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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