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Worksheets

Quadrilaterals

Total questions: 15

Worksheet time: 33mins

Name
Class
Date
1.

What is the sum of angles of quadrilaterals?

a)

90 °\degree

b)

180 °\degree

c)

360 °\degree

d)

260 °\degree

2.

If in a parallelogram its diagonals bisect each other and are equal then it is a

a)

Square

b)

Rectangle

c)

Rhombus

d)

Parallelogram

3.

The consecutive angles of a parallelogram are

a)

Complementary

b)

Supplementary

c)

Equal

d)

None of these

4.

If angles A, B, C and D of a quadrilateral ABCD, taken in order, are in the ratio 3 : 7 : 6 : 4, then ABCD is a

a)

Rhombus

b)

Parallelogram

c)

Trapezium

d)

Kite

5.

In the given figure, ABCD is a parallelogram. Find the value of x.

a)

25 °\degree

b)

60 °\degree

c)

75 °\degree

d)

45 °\degree

6.

A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is

a)

50 °\degree

b)

55 °\degree

c)

40 °\degree

d)

25 °\degree

7.

Calculate all the angles of a parallelogram if one of its angles is twice its adjacent angle. select the correct pair of answers-

a)

23, 45, 60, 90

b)

60, 60,120, 60

c)

60,120, 60, 120

d)

30, 90, 80,120

8.

In the following figure, ABCD and AEFG are two parallelograms. If ∠C = 60°, then ∠GFE is

a)

30 °\degree

b)

60 °\degree

c)

90 °\degree

d)

20 °\degree

9.

In the adjacent figure, AB II QP II CD, Q is the mid point of AC. If AB = 4cm and CD = 6cm then find PQ.

(a)  

10.

As shown in the figure ABCD is a square and triangle EBC is an equilateral triangle. Find the measure of ∠\angle  DAE.

(a)  

11.
Which is a property of a rhombus? 
a)
Diagonals Congruent 
b)
Diagonals Perpendicular
c)
Four Right Angles 
12.

In a ∆ABC, D, E, F are the mid-points of sides BC, CA and AB respectively. If

ar(∆ABC) = 16 cm2, then ar(trapezium FBCE) =

a)

4 cm²

b)

8 cm²

c)

10 cm²

d)

12 cm²

13.

ABCD is a trapezium with parallel sides AB = a and DC = b. If E and F are mid-points of non-parallel sides AD and BC respectively, then the ratio of areas of quadrilaterals ABFE and EFCD is

a)

a : b

b)

(a + 3b) : (3a + b)

c)

(3a + b) : (a + 3b)

d)

(2a + b) : (3a + b)

14.

ABCD is a parallelogram. P is any point on CD. If ar(∆DPA) = 15 cm² and ar(∆APC) = 20 cm², then ar(∆APB) =

a)

15 cm²

b)

20 cm²

c)

35 cm²

d)

30 cm²

15.

If the diagonal of a rhombus are 18 cm and 24 cm respectively, then its side is equal to

a)

15 cm

b)

16 cm

c)

20 cm

d)

17 cm