EduSahara™ Worksheet

Question 1

1.

Which of the following statements are true?

a)	The set of parallelograms is a subset of the set of trapeziums
b)	All quadrilaterals are trapeziums
c)	A parallelogram is a trapezium
d)	All quadrilaterals are parallelograms
e)	All trapeziums are parallelograms

(i)

{d,c}
(ii)

{a,c}
(iii)

{d,c,a}
(iv)

{b,a}
(v)

{e,b,a}

Question 2

2.

The sum of the interior angles of a quadrilateral is

(i)

270°
(ii)

360°
(iii)

90°
(iv)

180°

Question 3

3.

If ABCD is an isosceles trapezium, ∠A =

(i)

∠D
(ii)

90°
(iii)

∠B
(iv)

∠C

Question 4

4.

In which of the following are the diagonals equal ?

(i)

trapezium
(ii)

rhombus
(iii)

None of these
(iv)

parallelogram
(v)

rectangle

Question 5

5.

If one of the angles of a rhombus is a right angle, it is a

(i)

rectangle
(ii)

None of these
(iii)

square
(iv)

parallelogram
(v)

trapezium

Question 6

6.

If the two diagonals of a parallelogram are equal and right bisectors of each other, it is a

(i)

rectangle
(ii)

square
(iii)

None of these
(iv)

rhombus
(v)

trapezium

Question 7

7.

LMNO is a rhombus in which ∠L = 120° .

MO

is the diagonal. Then △LMN is

(i)

an obtuse angled triangle
(ii)

an isosceles triangle
(iii)

an equilateral triangle
(iv)

None of these
(v)

a scalene triangle

Question 8

8.

JKLM is a rhombus in which ∠J = 89° .

KM

is the diagonal. Then △JKL is

(i)

an obtuse angled triangle
(ii)

a scalene triangle
(iii)

None of these
(iv)

an equilateral triangle
(v)

an isosceles triangle

Question 9

9.

Which of the following statements are true?

a)	Every rectangle is a rhombus
b)	Every square is a rectangle
c)	Every rectangle is a parallelogram
d)	Every parallelogram is a rectangle
e)	Every rhombus is parallelogram

(i)

{a,d,e}
(ii)

{d,c}
(iii)

{a,b,c}
(iv)

{b,c,e}
(v)

{a,b}

Question 10

10.

Which of the following have point symmetry ?

a)	rhombus
b)	parallelogram
c)	rectangle
d)	trapezium
e)	square
f)	quadrilateral

(i)

{d,a}
(ii)

{a,b,c,e}
(iii)

{d,f,c}
(iv)

{d,e,a}
(v)

{f,b}

Question 11

11.

Which of the following statements are true?

a)	A parallelogram is a trapezium
b)	A rectangle is a parallelogram
c)	A square is a rhombus
d)	A rhombus is a square
e)	A parallelogram is a rhombus
f)	A trapezium is a parallelogram
g)	A square is a rectangle

(i)

{a,b,c,g}
(ii)

{e,g,a}
(iii)

{e,b}
(iv)

{f,d,c}
(v)

{d,a}

Question 12

12.

Which of the following is a regular polygon with four sides?

(i)

parallelogram
(ii)

trapezium
(iii)

rhombus
(iv)

square
(v)

rectangle

Question 13

13.

Sum of the interior angles in a quadrilateral is

(i)

375°
(ii)

390°
(iii)

370°
(iv)

365°
(v)

360°

Question 14

14.

How many diagonals does a quadrilateral have?

(i)

3
(ii)

4
(iii)

1
(iv)

0
(v)

2

Question 15

15.

Which of the following are true?

a)	A square is a rhombus
b)	A parallelogram is a square
c)	A square is a rectangle
d)	A rectangle is a square
e)	A rhombus is a square

(i)

{a,c}
(ii)

{d,c}
(iii)

{d,c,a}
(iv)

{b,a}
(v)

{e,b,a}

Question 16

16.

Which of the following are true?

a)	A parallelogram is a rectangle
b)	A square is a parallelogram
c)	A rectangle is a parallelogram
d)	A parallelogram is a square
e)	A rectangle is a square

(i)

{a,b}
(ii)

{d,c,b}
(iii)

{d,c}
(iv)

{e,a,b}
(v)

{b,c}

Question 17

17.

Which of the following are true?

a)	A rectangle is a square
b)	A parallelogram is a trapezium
c)	A rhombus is a trapezium
d)	A trapezium is a parallelogram
e)	A trapezium is a rhombus

(i)

{e,a,b}
(ii)

{a,b}
(iii)

{d,c,b}
(iv)

{b,c}
(v)

{d,c}

Question 18

18.

Which of the following are true?

a)	A parallelogram is a rhombus
b)	A kite is a rhombus
c)	A rhombus is a kite
d)	A rhombus is a parallelogram
e)	A trapezium is a parallelogram

(i)

{c,d}
(ii)

{e,a,c}
(iii)

{b,d}
(iv)

{b,d,c}
(v)

{a,c}

Question 19

19.

Which of the following are true?

a)	A rectangle is a rhombus
b)	A parallelogram is a rhombus
c)	A square is a rectangle
d)	A square is a trapezium
e)	A trapezium is a square

(i)

{c,d}
(ii)

{a,c}
(iii)

{b,d}
(iv)

{e,a,c}
(v)

{b,d,c}

Question 20

20.

The quadrilateral whose diagonals are equal and are perpendicular bisectors is a

(i)

trapezium
(ii)

parallelogram
(iii)

rectangle
(iv)

rhombus
(v)

square

Question 21

21.

The diagonals do not divide the quadrilateral into congruent triangles in which figure?

(i)

parallelogram
(ii)

square
(iii)

rhombus
(iv)

trapezium
(v)

rectangle

Question 22

22.

Name all quadrilaterals whose diagonals are equal

(i)

square,rhombus
(ii)

rectangle,rhombus
(iii)

square,rectangle
(iv)

square,kite
(v)

parallelogram,square,rhombus,rectangle

Question 23

23.

Name all quadrilaterals whose diagonals bisect each other

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,rhombus
(iii)

rectangle,rhombus
(iv)

square,rectangle
(v)

square,parallelogram

Question 24

24.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,rhombus
(iii)

square,parallelogram
(iv)

square,rectangle
(v)

square,kite

Question 25

25.

Name all quadrilaterals whose opposite sides are equal

(i)

rectangle,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rhombus
(iv)

square,parallelogram
(v)

square,kite

Question 26

26.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,rectangle
(ii)

square,kite
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,parallelogram
(v)

square,rhombus

Question 27

27.

Name all quadrilaterals whose all sides are equal

(i)

square,kite
(ii)

parallelogram,square,rhombus,rectangle
(iii)

rectangle,rhombus
(iv)

square,rhombus
(v)

square,parallelogram

Question 28

28.

Name all quadrilaterals whose all angles are right angles

(i)

square,rectangle
(ii)

square,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

rectangle,rhombus
(v)

square,parallelogram

Question 29

29.

Name all quadrilaterals whose opposite angles are equal

(i)

square,rhombus
(ii)

square,kite
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,parallelogram
(v)

square,rectangle

Question 30

30.

Name all quadrilaterals whose all angles are equal

(i)

rectangle,rhombus
(ii)

square,rectangle
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,kite
(v)

square,parallelogram

Question 31

31.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

square,kite
(ii)

square,rectangle
(iii)

rectangle,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,parallelogram

Question 32

32.

Which of the following statements are true?

a)	In a parallelogram, both adjacent angles can be obtuse
b)	In a parallelogram, adjacent angles are complementary
c)	In a parallelogram, both adjacent angles can be right angles
d)	In a parallelogram, adjacent angles are supplementary
e)	In a parallelogram, both adjacent angles can be acute

(i)

{c,d}
(ii)

{b,d}
(iii)

{e,a,c}
(iv)

{a,c}
(v)

{b,d,c}

Question 33

33.

Which of the following properties apply for a parallelogram ?

a)	Diagonals are equal to each other
b)	Opposite sides are equal
c)	Diagonals bisect each other
d)	Opposite angles are equal
e)	Diagonals are perpendicular to each other
f)	Adjacent angles are supplementary

(i)

{a,b}
(ii)

{e,c}
(iii)

{a,e,d}
(iv)

{a,f,b}
(v)

{b,c,d,f}

Question 34

34.

Which of the following properties apply for a trapezium ?

(i)

Diagonals are perpendicular to each other
(ii)

Adjacent angles are supplementary
(iii)

Diagonals bisect each other
(iv)

One pair of opposite sides are parallel
(v)

Diagonals are equal

Question 35

35.

Which of the following properties apply for a kite ?

(i)

Diagonals are equal
(ii)

All Adjacent sides are equal
(iii)

Opposite angles are parallel
(iv)

Diagonals are perpendicular
(v)

Adjacent angles are equal

Question 36

36.

Which of the following properties apply for a rhombus ?

a)	Opposite sides are equal
b)	Adjacent sides are equal
c)	Adjacent angles are equal
d)	Opposite sides are parallel
e)	Opposite angles are equal
f)	Diagonals are equal
g)	Diagonals bisect each other

(i)

{c,e,g}
(ii)

{a,b,d,e,g}
(iii)

{c,a}
(iv)

{c,f,d}
(v)

{f,b}

Question 37

37.

Which of the following properties apply for a rectangle ?

a)	Adjacent angles are equal
b)	Opposite angles are equal
c)	Diagonals are equal
d)	Adjacent sides are equal
e)	Diagonals bisect each other
f)	Opposite sides are equal
g)	Opposite sides are parallel

(i)

{d,b}
(ii)

{d,c}
(iii)

{d,a}
(iv)

{d,e,f}
(v)

{a,b,c,e,f,g}

Question 38

38.

Which of the following statements are true?

a)	Every parallelogram is a rectangle
b)	Every rectangle is a rhombus
c)	Every parallelogram is a trapezium
d)	Every rhombus is a parallelogram
e)	Every rectangle is a parallelogram
f)	Every square is a rhombus
g)	Every square is a rectangle

(i)

{a,f,g}
(ii)

{a,c}
(iii)

{b,d}
(iv)

{c,d,e,f,g}
(v)

{a,b,e}

Question 39

39.

The figure formed by successively joining the mid-points of the sides of a parallelogram is

(i)

square
(ii)

rhombus
(iii)

parallelogram
(iv)

rectangle

Question 40

40.

The figure formed by successively joining the mid-points of the sides of a rectangle is

(i)

rectangle
(ii)

rhombus
(iii)

square
(iv)

parallelogram

Question 41

41.

The figure formed by successively joining the mid-points of the sides of a rhombus is

(i)

parallelogram
(ii)

rectangle
(iii)

square
(iv)

rhombus

Assignment Key