EduSahara™ Worksheet

Question 1

1.

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

(i)

trapezium
(ii)

square
(iii)

rhombus
(iv)

rectangle
(v)

parallelogram

Question 2

2.

Which of the following statements are true?

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

(i)

{b,c,d,f}
(ii)

{e,f,b}
(iii)

{e,c}
(iv)

{a,b}
(v)

{g,a,d}

Question 3

3.

Which of the following statements are true?

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

(i)

{c,e,b}
(ii)

{d,a,b}
(iii)

{a,b}
(iv)

{b,e}
(v)

{c,e}

Question 4

4.

Which of the following statements are true?

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

(i)

{a,b,c}
(ii)

{d,c}
(iii)

{a,d,e}
(iv)

{a,b}
(v)

{b,c,e}

Question 5

5.

Every rhombus is a

a)	trapezium
b)	square
c)	parallelogram
d)	rectangle
e)	triangle

(i)

{a,c}
(ii)

{e,b,a}
(iii)

{b,a}
(iv)

{d,c,a}
(v)

{d,c}

Question 6

6.

The diagonals are equal in a

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

(i)

{e,c,a}
(ii)

{d,b}
(iii)

{d,b,a}
(iv)

{c,a}
(v)

{a,b}

Question 7

7.

Sum of the interior angles in a quadrilateral is

(i)

360°
(ii)

390°
(iii)

365°
(iv)

370°
(v)

375°

Question 8

8.

How many diagonals does a quadrilateral have?

(i)

2
(ii)

1
(iii)

3
(iv)

0
(v)

4

Question 9

9.

Which of the following are true?

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

(i)

{e,b,a}
(ii)

{c,d}
(iii)

{c,d,a}
(iv)

{a,d}
(v)

{b,a}

Question 10

10.

Which of the following are true?

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

(i)

{d,b}
(ii)

{a,b}
(iii)

{e,c,a}
(iv)

{d,b,a}
(v)

{c,a}

Question 11

11.

Which of the following are true?

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

(i)

{e,a,b}
(ii)

{b,c}
(iii)

{a,b}
(iv)

{d,c}
(v)

{d,c,b}

Question 12

12.

Which of the following are true?

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

(i)

{c,a,d}
(ii)

{a,d}
(iii)

{b,e}
(iv)

{d,e}
(v)

{b,e,d}

Question 13

13.

Which of the following are true?

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

(i)

{d,b,a}
(ii)

{c,e}
(iii)

{a,e}
(iv)

{b,a}
(v)

{c,e,a}

Question 14

14.

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

(i)

rectangle
(ii)

rhombus
(iii)

parallelogram
(iv)

square
(v)

trapezium

Question 15

15.

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

(i)

rhombus
(ii)

parallelogram
(iii)

trapezium
(iv)

square
(v)

rectangle

Question 16

16.

Name all quadrilaterals whose diagonals are equal

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,rectangle
(iii)

square,rhombus
(iv)

square,parallelogram
(v)

rectangle,rhombus

Question 17

17.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,rhombus
(ii)

square,rectangle
(iii)

square,parallelogram
(iv)

parallelogram,square,rhombus,rectangle
(v)

rectangle,rhombus

Question 18

18.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

rectangle,rhombus
(ii)

square,parallelogram
(iii)

square,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rectangle

Question 19

19.

Name all quadrilaterals whose opposite sides are equal

(i)

square,rhombus
(ii)

square,parallelogram
(iii)

square,kite
(iv)

square,rectangle
(v)

parallelogram,square,rhombus,rectangle

Question 20

20.

Name all quadrilaterals whose opposite sides are parallel

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,kite
(iii)

square,rectangle
(iv)

rectangle,rhombus
(v)

square,parallelogram

Question 21

21.

Name all quadrilaterals whose all sides are equal

(i)

square,rhombus
(ii)

rectangle,rhombus
(iii)

square,kite
(iv)

square,rectangle
(v)

square,parallelogram

Question 22

22.

Name all quadrilaterals whose all angles are right angles

(i)

square,parallelogram
(ii)

square,kite
(iii)

square,rhombus
(iv)

rectangle,rhombus
(v)

square,rectangle

Question 23

23.

Name all quadrilaterals whose opposite angles are equal

(i)

rectangle,rhombus
(ii)

square,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,kite
(v)

square,rectangle

Question 24

24.

Name all quadrilaterals whose all angles are equal

(i)

square,kite
(ii)

square,rhombus
(iii)

square,parallelogram
(iv)

rectangle,rhombus
(v)

square,rectangle

Question 25

25.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

square,kite
(ii)

parallelogram,square,rhombus,rectangle
(iii)

rectangle,rhombus
(iv)

square,rhombus
(v)

square,rectangle

Question 26

26.

In which of the following are the diagonals equal ?

(i)

trapezium
(ii)

rectangle
(iii)

rhombus
(iv)

None of these
(v)

parallelogram

Question 27

27.

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

(i)

parallelogram
(ii)

rectangle
(iii)

None of these
(iv)

trapezium
(v)

square

Question 28

28.

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

(i)

None of these
(ii)

rectangle
(iii)

trapezium
(iv)

square
(v)

rhombus

Question 29

29.

Which of the following have point symmetry ?

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

(i)

{d,f,a}
(ii)

{d,e,c}
(iii)

{a,b,c,f}
(iv)

{e,b}
(v)

{d,a}

Question 30

30.

Which of the following statements are true?

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

(i)

{b,d}
(ii)

{c,d}
(iii)

{a,c}
(iv)

{e,a,c}
(v)

{b,d,c}

Question 31

31.

Which of the following properties apply for a parallelogram ?

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

(i)

{b,e,a}
(ii)

{f,c}
(iii)

{b,f,d}
(iv)

{a,c,d,e}
(v)

{b,a}

Question 32

32.

Which of the following properties apply for a trapezium ?

(i)

Diagonals are perpendicular to each other
(ii)

Both adjacent angles are obtuse
(iii)

One pair of opposite sides are parallel
(iv)

Diagonals are equal
(v)

Adjacent angles are supplementary

Question 33

33.

Which of the following properties apply for a kite ?

(i)

Opposite sides are equal
(ii)

Diagonals are equal
(iii)

Opposite sides are parallel
(iv)

Diagonals are perpendicular
(v)

Opposite angles are parallel

Question 34

34.

Which of the following properties apply for a rhombus ?

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

(i)

{b,a}
(ii)

{b,f,d}
(iii)

{f,c}
(iv)

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

{b,e,g}

Question 35

35.

Which of the following properties apply for a rectangle ?

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

(i)

{f,c}
(ii)

{f,b}
(iii)

{f,a}
(iv)

{f,d,e}
(v)

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

Question 36

36.

Which of the following statements are true?

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

(i)

{a,b,c,d,e}
(ii)

{g,b}
(iii)

{f,a}
(iv)

{f,d,e}
(v)

{f,g,c}

Question 37

37.

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

(i)

rhombus
(ii)

square
(iii)

rectangle
(iv)

parallelogram

Question 38

38.

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

(i)

square
(ii)

parallelogram
(iii)

rectangle
(iv)

rhombus

Question 39

39.

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

(i)

rectangle
(ii)

parallelogram
(iii)

rhombus
(iv)

square

Assignment Key