EduSahara™ Worksheet

Question 1

1.

Which of the following statements are true?

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

(i)

{e,a,c}
(ii)

{b,d,c}
(iii)

{b,d}
(iv)

{c,d}
(v)

{a,c}

Question 2

2.

The sum of the interior angles of a quadrilateral is

(i)

90°
(ii)

360°
(iii)

270°
(iv)

180°

Question 3

3.

If ABCD is an isosceles trapezium, ∠D =

(i)

∠C
(ii)

∠A
(iii)

90°
(iv)

∠B

Question 4

4.

In which of the following are the diagonals equal ?

(i)

parallelogram
(ii)

None of these
(iii)

rhombus
(iv)

rectangle
(v)

trapezium

Question 5

5.

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

(i)

rectangle
(ii)

parallelogram
(iii)

None of these
(iv)

trapezium
(v)

square

Question 6

6.

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

(i)

rhombus
(ii)

rectangle
(iii)

trapezium
(iv)

None of these
(v)

square

Question 7

7.

OPQR is a rhombus in which ∠O = 120° .

PR

is the diagonal. Then △OPQ is

(i)

an equilateral triangle
(ii)

an isosceles triangle
(iii)

an obtuse angled triangle
(iv)

None of these
(v)

a scalene triangle

Question 8

8.

GHIJ is a rhombus in which ∠G = 112° .

HJ

is the diagonal. Then △GHI is

(i)

an obtuse angled triangle
(ii)

an isosceles triangle
(iii)

an equilateral triangle
(iv)

None of these
(v)

a scalene triangle

Question 9

9.

Which of the following statements are true?

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

(i)

{a,c,e}
(ii)

{d,c}
(iii)

{b,a}
(iv)

{b,d,e}
(v)

{b,a,c}

Question 10

10.

Which of the following have point symmetry ?

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

(i)

{b,f,a}
(ii)

{b,e,d}
(iii)

{e,c}
(iv)

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

{b,a}

Question 11

11.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{e,f,a}
(iii)

{g,b,d}
(iv)

{e,c}
(v)

{a,c,d,f}

Question 12

12.

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

(i)

parallelogram
(ii)

square
(iii)

rectangle
(iv)

trapezium
(v)

rhombus

Question 13

13.

Sum of the interior angles in a quadrilateral is

(i)

370°
(ii)

375°
(iii)

360°
(iv)

390°
(v)

365°

Question 14

14.

How many diagonals does a quadrilateral have?

(i)

3
(ii)

2
(iii)

4
(iv)

1
(v)

0

Question 15

15.

Which of the following are true?

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

(i)

{b,a}
(ii)

{a,c}
(iii)

{e,b,a}
(iv)

{d,c}
(v)

{d,c,a}

Question 16

16.

Which of the following are true?

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

(i)

{e,b,a}
(ii)

{a,c}
(iii)

{b,a}
(iv)

{d,c,a}
(v)

{d,c}

Question 17

17.

Which of the following are true?

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

(i)

{b,a}
(ii)

{c,e}
(iii)

{c,e,a}
(iv)

{d,b,a}
(v)

{a,e}

Question 18

18.

Which of the following are true?

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

(i)

{e,b,a}
(ii)

{b,a}
(iii)

{a,c}
(iv)

{d,c,a}
(v)

{d,c}

Question 19

19.

Which of the following are true?

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

(i)

{b,e,d}
(ii)

{d,e}
(iii)

{a,d}
(iv)

{c,a,d}
(v)

{b,e}

Question 20

20.

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

(i)

square
(ii)

rectangle
(iii)

trapezium
(iv)

parallelogram
(v)

rhombus

Question 21

21.

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

(i)

square
(ii)

parallelogram
(iii)

rectangle
(iv)

trapezium
(v)

rhombus

Question 22

22.

Name all quadrilaterals whose diagonals are equal

(i)

rectangle,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,kite
(iv)

square,rectangle
(v)

square,parallelogram

Question 23

23.

Name all quadrilaterals whose diagonals bisect each other

(i)

rectangle,rhombus
(ii)

square,parallelogram
(iii)

square,rectangle
(iv)

square,kite
(v)

parallelogram,square,rhombus,rectangle

Question 24

24.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,rhombus
(ii)

square,rectangle
(iii)

square,parallelogram
(iv)

square,kite
(v)

parallelogram,square,rhombus,rectangle

Question 25

25.

Name all quadrilaterals whose opposite sides are equal

(i)

square,parallelogram
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rhombus
(iv)

square,kite
(v)

rectangle,rhombus

Question 26

26.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,kite
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,parallelogram
(iv)

square,rectangle
(v)

rectangle,rhombus

Question 27

27.

Name all quadrilaterals whose all sides are equal

(i)

square,parallelogram
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rhombus
(v)

square,rectangle

Question 28

28.

Name all quadrilaterals whose all angles are right angles

(i)

square,rectangle
(ii)

square,rhombus
(iii)

rectangle,rhombus
(iv)

square,parallelogram
(v)

parallelogram,square,rhombus,rectangle

Question 29

29.

Name all quadrilaterals whose opposite angles are equal

(i)

square,parallelogram
(ii)

square,rectangle
(iii)

square,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,kite

Question 30

30.

Name all quadrilaterals whose all angles are equal

(i)

square,kite
(ii)

square,rectangle
(iii)

square,parallelogram
(iv)

rectangle,rhombus
(v)

parallelogram,square,rhombus,rectangle

Question 31

31.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

rectangle,rhombus
(ii)

square,kite
(iii)

square,rectangle
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rhombus

Question 32

32.

Which of the following statements are true?

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

{a,b}
(iv)

{c,d,b}
(v)

{e,a,b}

Question 33

33.

Which of the following properties apply for a parallelogram ?

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

(i)

{d,f,c}
(ii)

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

{d,a}
(iv)

{d,e,a}
(v)

{f,b}

Question 34

34.

Which of the following properties apply for a trapezium ?

(i)

One pair of opposite sides are parallel
(ii)

Both adjacent angles are obtuse
(iii)

Adjacent angles are supplementary
(iv)

Diagonals are perpendicular to each other
(v)

Diagonals bisect each other

Question 35

35.

Which of the following properties apply for a kite ?

(i)

Opposite sides are parallel
(ii)

Diagonals are perpendicular
(iii)

All Adjacent sides are equal
(iv)

Opposite sides are equal
(v)

Adjacent angles are equal

Question 36

36.

Which of the following properties apply for a rhombus ?

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

(i)

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

{a,b}
(iii)

{a,e,g}
(iv)

{f,c}
(v)

{a,f,d}

Question 37

37.

Which of the following properties apply for a rectangle ?

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

(i)

{c,a}
(ii)

{c,b}
(iii)

{c,e,f}
(iv)

{a,b,d,e,f,g}
(v)

{c,d}

Question 38

38.

Which of the following statements are true?

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

(i)

{e,d,g}
(ii)

{f,b}
(iii)

{e,a}
(iv)

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

{e,f,c}

Question 39

39.

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

(i)

rhombus
(ii)

rectangle
(iii)

square
(iv)

parallelogram

Question 40

40.

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

(i)

rhombus
(ii)

rectangle
(iii)

parallelogram
(iv)

square

Question 41

41.

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

(i)

rhombus
(ii)

parallelogram
(iii)

rectangle
(iv)

square

Assignment Key