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Understanding quadrilaterals

Total questions: 36

Worksheet time: 27mins

Name
Class
Date
1.

If three angles of a quadrilateral are each equal to 75°, then, the fourth angle is

a)

(a) 150°

b)

(b) 135°

c)

(c) 45°

d)

(d) 75°

2.

For which of the following figures, diagonals are perpendicular to each other?

a)

(a) Parallelogram

b)

(b) Kite

c)

(c) Trapezium

d)

(d) Rectangle

3.

Which of the following figures satisfy the following properties?

All sides are congruent

All angles are right angles.

Opposite sides are parallel.

a)

a

b)

b

c)

c

d)

d

4.

What is the sum of all the angles of a pentagon?

a)

(a) 180°

b)

(b) 360°

c)

(c) 540°

d)

(d) 720°

5.

If two adjacent angles of a parallelogram are (5x – 5) and (10x + 35), then the ratio of these angles is

a)

(a) 1 : 3

b)

(b) 2 : 3

c)

(c) 1 : 4

d)

(d) 1 : 2

6.

If two adjacent angles of a parallelogram are (5x – 5) and (10x + 35), then the ratio of these angles is

a)

(a) 1 : 3

b)

(b) 2 : 3

c)

(c) 1 : 4

d)

(d) 1 : 2

7.

The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is

a)

(a) 72°

b)

(b) 144°

c)

(c) 36°

d)

(d) 18°

8.

In a parallelogram PQRS, if = 60°, then other three angles are

a)

(a) 45°, 135°, 120°

b)

(b) 60°, 120°, 120°

c)

(c) 60°, 135°, 135°

d)

(d) 45°, 135°, 135°

9.

Find the values of x and y in the following parallelogram.

a)

200

b)

300

c)

400

d)

500

10.

Find the value of x in the trapezium ABCD given below.

a)

500

b)

600

c)

700

d)

800

11.

In the figure, find the value of x.

a)

820

b)

740

c)

500

d)

750

12.

ABCD is a parallelogram. Find the values of x, y and z.

a)

800,700,300

b)

800,400,500

c)

1000,700,400

d)

600,700,300

13.

In the following figure, FD || BC || AE and AC || ED. Find the value of x

a)

1100

b)

1120

c)

1160

d)

750

14.

If ∠A and ∠C are two opposite angles of a parallelogram, then:

a)

A. ∠A > ∠C

b)

B. ∠A = ∠C

c)

C. ∠A < ∠C

d)

D. None of the above

15.
a)

a

b)

b

c)

c

d)

d

16.
a)

a

b)

b

c)

c

d)

d

17.
a)

a

b)

b

c)

c

d)

d

18.

Which of the following is true for the adjacent angles of a parallelogram?

a)

(i) they are equal to each other

b)

(ii) they are complementary angles

c)

(iii) they are supplementary angles

d)

(iv) none of these

19.

Find the value of x

a)

1400

b)

1000

c)

600

d)

800

20.

How many sides does a regular polygon have if each of its interior angles is 165°?

a)

12

b)

20

c)

24

d)

6

21.

Diagonals bisect each other at right angle in rectangle.

a)

True

b)

False

22.

Find the number of sides of a regular polygon whose each exterior angle has a measure of 60 °\degree  

a)

6

b)

8

c)

12

d)

5

23.

In the following polygons, which of the polygon is concave polygon?

a)
b)
c)
d)
24.

How many diagonals have a regular hexagon?

a)

9

b)

5

c)

7

d)

8

25.

In the following figure, given a parallelogram ABCD. Find x and y.

a)

x=6, y=27

b)

x=5, y=27

c)

x=6, y=9

d)

x=16, y=27

26.

Which of the following statements is false for a square?

a)

It is a rectangle

b)

It has all sides of equal length

c)

All squares are not parallelograms

d)

Eid darkness bisect each other at right angles.

27.

Which of the following statements is true for a rectangle?

a)

All rectangles are squares

b)

It's diagonals are perpendicular

c)

Its diagonals are equal

d)

All sides are equal

28.

In which quadrilateral diagonals bisect each other at right angles

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Kite

29.

Which of the following quadrilateral is having opposite sides equal

a)

Rectangle

b)

Kite

c)

Trapezium

d)

None of these

30.

A square is a

a)

Parallelogram

b)

Trapezium

c)

Kite

d)

None of these

31.

A quadrilateral can have

a)

4 acute angles

b)

4 obtuse angles

c)

3 Obtuse angles

d)

2 right angles and 2 obtuse angles

32.

The sum of measures of all exterior angles in a polygon is

a)

360 degrees

b)

460 degrees

c)

540 degrees

d)

720 degrees

33.

If a convex polygon has n sides, the no. of diagonals is given by ?

a)

n(n+3)2\frac{n\left(n+3\right)}{2} 

b)

n(n−3)2\frac{n\left(n-3\right)}{2}

c)

n+(n−3)2\frac{n+\left(n-3\right)}{2}

d)

n+(n+3)2\frac{n+\left(n+3\right)}{2}

34.

What is the minimum interior angle possible for a regular polygon ?

a)

100

b)

60

c)

120

d)

80

35.

A circle is a ?

a)

Simple closed curve

b)

Simple curve

c)

polygon

d)

open curve

36.

ABCD is a rectangle. Its diagonals meet at O. OA=(3x+5)cm and OB=(2x+9), what is AC ?

a)

34 cm

b)

36 cm

c)

37 cm

d)

35 cm

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