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Quadrilaterals

Total questions: 50

Worksheet time: 2hrs 34mins

Name
Class
Date
1.
The figure obtained by joining the mid-points of a quadrilateral taken in order, is ____
a)
a rhombus
b)
a rectangle
c)
a parallelogram
d)
a square
2.
The figure obtained by joining the mid-points of a rhombus taken in order, is ____
a)
a rhombus
b)
a rectangle
c)
a parallelogram
d)
a square
3.
Which of the following is not True for a parallelogram?
a)
Opposite sides are equal
b)
Opposite angles are equal
c)
Opposite angles are bisected by the diagonals
d)
Diagonals bisect each other
4.
Say 'TRUE' or 'FALSE'
All the four angles of quadrilateral may be obtuse
a)
TRUE
b)
FALSE
5.
Name the quadrilateral where diagonals bisect each other at 90°
a)
Rectangle and Square
b)
Rectangle and Rhombus
c)
Square and Rhombus
d)
Trapezium
6.
In a Quadrilateral ABCD, AB = BC and CD = DA, then the quadrilateral is _____
a)
Parallelogram
b)
Rhombus
c)
Kite
d)
Trapezium
7.
Which of the following is not a parallelogram?
a)
Trapezium
b)
Square
c)
Rectangle
d)
Rhombus
8.
a)
160°
b)
100°
c)
200°
d)
180°
9.
The quadrilateral formed by joining the mid-points of a quadrilateral PQRS, taken in order is a rectangle if_____
a)
PQRS is a rectangle
b)
PQRS is a parallelogram
c)
Diagonals of PQRS are perpendicular
d)
Diagonals of PQRS are equal
10.

Classify this shape. Select ALL names that apply.

a)

quadrilateral

b)

square

c)

parallelogram

d)

rhombus

e)

rectangle

11.
Kate built a garden box with 4 sides.  It has two sets of parallel sides.  Which of the following shapes could her garden NOT be?
a)
rectangle
b)
trapezoid
c)
square
d)
parallelogram
12.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
10
c)
4
d)
5
13.
Solve for the variables.
a)
x=15, y=9
b)
x=9, y=15
14.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
15.
Which statement is true?
a)
A rhombus is never a square.
b)
A rhombus is always a square.
c)
A rhombus is never a rectangle.
d)
A rhombus is always a parallelogram.
16.
Which statement is not true?
a)
Every parallelogram is a rectangle.
b)
Every square is a parallelogram.
c)
Every square has two pairs of parallel sides.
d)
Every rectangle has four right angles.
17.
Find y.
a)
2
b)
4
c)
15
d)
10
18.
Is the family tree correct? 
a)
yes
b)
no
19.

A ___________ is a quadrilateral with two sets or parallel sides and 4 congruent (equal) sides.

a)

trapezium

b)

rhombus

c)

parallelogram

d)

rectangle

20.

the sum of the angles of a quadrilateral is _______

a)

180 degrees

b)

90 degrees

c)

270 degrees

d)

360 degrees

21.

If ABCD is a trapezium in which AB || CD and AD = BC, then:

a)

∠A = ∠B

b)

∠A > ∠B

c)

∠A < ∠B

d)

cannot be determined

22.

the consecutive angles of a parallelogram is

a)

equal

b)

complementary

c)

supplementary

23.

If in a parallelogram its diagonals bisect each other at right angles and are equal, then it is a

a)

square

b)

rectangle

c)

rhombus

d)

parallelogram

24.

Which of the following is not true for a parallelogram?

a)

Diagonals bisect each other

b)

opposite angles are equal

c)

opposite sides are equal

d)

opposite angles are bisected be diagonals

25.

Three angles of a quadrilateral are 75°, 90°and 75°, the fourth angle is

a)

90°

b)

95°

c)

105°

d)

120°

26.

ABCD is a rhombus such that ∠ACB = 40°, then ∠ADB is

a)

40°

b)

45°

c)

50°

d)

60°

27.

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)

rectangle

c)

trapezium

d)

square

28.

The bisectors of any two adjacent angles of a || gm intersect at

a)

30°

b)

45°

c)

60°

d)

90°

29.

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

a)

25°

b)

60°

c)

75°

d)

45°

30.

The quadrilateral formed by joining the mid-points of all four sides of a rectangle.

a)

rectangle

b)

square

c)

rhombus

31.

What type of triangle is formed by joining the mid-points of all three sides of an equilateral triangle?

a)

isosceles

b)

scalene

c)

right angled triangle

d)

equilateral

32.

Quadrilateral formed by joining the mid-points of quadrilateral is____________

a)

rectangle

b)

square

c)

parallelogram

d)

rhombus

33.

If the angles of a quadrilateral are in the ratio 4:7:9:10, the sum of measures of the smallest and the largest angles is

a)

140

b)

150

c)

168

d)

180

34.
Which quadrilateral is NOT a parallelogram?
a)
rectangle
b)
square
c)
trapezoid
d)
rhombus
35.
Define parallelogram
a)
a quadrilateral with exactly one pair of parallel sides 
b)
multiple quadrilaterals with 4 congruent sides
c)
a polygon with opposite sides parallel and congruent
d)
a quadrilateral with 4 right angles and opposite sides are congruent
36.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
37.

In a quadrilateral ABCD, ∠A, ∠B, ∠C, ∠D are in the ratio 1:2:4:5. Which among the following is not an angle of the quadrilateral ?

a)

60⁰

b)

120⁰

c)

100⁰

d)

150⁰

38.

In a parallelogram ABCD, if ∠A= (3x-20)⁰, ∠B= (y+15)⁰, ∠C= (x+40)⁰, then find the value of x+y.

a)

30

b)

95

c)

125

d)

150

39.
Solve for the variables.
a)
g=61, h=25
b)
g=60, h=9
c)
g=61, h=9
40.

Find the value of j and k. (Hint: Find the length of the diagonals)

a)

j = 4.5, k = 2

b)

j = 4.5, k = 5

c)

j = 3, k = 10

d)

j = 5, k = 5

41.
A __________________ is always a rhombus, but a rhombus is not always a _______________. 
a)
rhombus
b)
parallelogram
c)
square
d)
rectangle
42.

The sides of parallelogram ABCD

are represented as shown.

Find DA.

a)

10

b)

24

c)

12

d)

30

43.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
44.
How many degrees are in the missing angle?
a)
60°
b)
114°
c)
70°
d)
360°
45.
Find the median of the trapezoid.
a)
C
b)
D
c)
B
d)
A
46.
A triangle has an area of 117 cm2. If the base is 26 cm, what is the height?
a)
36 cm
b)
18 cm
c)
9 cm
d)
4.5 cm
47.
Find the area of the figure.
a)
10 cm2
b)
24 cm2
c)
12 cm2
d)
20 cm2
48.

A triangle and a rectangle have the same height and base length, so the area of the triangle will be...

a)

equal to the area of the rectangle.

b)

half the area of the rectangle.

c)

greater than the area of the rectangle.

d)

a quarter of the area of the rectangle.

49.

: Diagonals of a parallelogram ABCD intersect at O. If ∠BOC = 90º and ∠BDC = 50º, then ∠OAB is

a)

50

b)

40

c)

90

d)

10

50.

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

a)

50

b)

55

c)

40

d)

20

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