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)	A parallelogram is a trapezium
c)	All quadrilaterals are parallelograms
d)	All trapeziums are parallelograms
e)	All quadrilaterals are trapeziums

(i)

{c,a}
(ii)

{d,b}
(iii)

{e,c,a}
(iv)

{d,b,a}
(v)

{a,b}

Question 2

2.

The sum of the interior angles of a quadrilateral is

(i)

360°
(ii)

90°
(iii)

180°
(iv)

270°

Question 3

3.

If ABCD is an isosceles trapezium, ∠B =

(i)

∠C
(ii)

∠D
(iii)

90°
(iv)

∠A

Question 4

4.

In which of the following are the diagonals equal ?

(i)

None of these
(ii)

parallelogram
(iii)

rectangle
(iv)

rhombus
(v)

trapezium

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)

parallelogram
(iv)

square
(v)

trapezium

Question 6

6.

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)

square
(iv)

trapezium
(v)

rhombus

Question 7

7.

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

PR

is the diagonal. Then △OPQ is

(i)

a scalene triangle
(ii)

None of these
(iii)

an obtuse angled triangle
(iv)

an isosceles triangle
(v)

an equilateral triangle

Question 8

8.

FGHI is a rhombus in which ∠F = 97° .

GI

is the diagonal. Then △FGH is

(i)

an obtuse angled triangle
(ii)

a scalene triangle
(iii)

an equilateral triangle
(iv)

an isosceles triangle
(v)

None of these

Question 9

9.

Which of the following statements are true?

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

(i)

{a,b,e}
(ii)

{c,a,b}
(iii)

{c,d,e}
(iv)

{d,b}
(v)

{c,a}

Question 10

10.

Which of the following statements are true?

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

(i)

{d,c}
(ii)

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

{d,f,a}
(iv)

{b,a}
(v)

{g,b,e}

Question 11

11.

Which of the following figures is a regular quadrilateral?

(i)

parallelogram
(ii)

rhombus
(iii)

square
(iv)

rectangle
(v)

trapezium

Question 12

12.

Every rhombus is a

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

(i)

{c,d}
(ii)

{b,d,c}
(iii)

{e,a,c}
(iv)

{b,d}
(v)

{a,c}

Question 13

13.

The diagonals are equal in a

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

(i)

{d,a,b}
(ii)

{c,e,b}
(iii)

{b,e}
(iv)

{a,b}
(v)

{c,e}

Question 14

14.

Sum of the interior angles in a quadrilateral is

(i)

375°
(ii)

390°
(iii)

365°
(iv)

370°
(v)

360°

Question 15

15.

How many diagonals does a quadrilateral have?

(i)

0
(ii)

4
(iii)

1
(iv)

3
(v)

2

Question 16

16.

Which of the following are true?

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

(i)

{b,d}
(ii)

{e,a,b}
(iii)

{c,d,b}
(iv)

{a,b}
(v)

{c,d}

Question 17

17.

Which of the following are true?

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

(i)

{a,b}
(ii)

{b,e}
(iii)

{c,e,b}
(iv)

{c,e}
(v)

{d,a,b}

Question 18

18.

Which of the following are true?

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

(i)

{b,e}
(ii)

{d,a,b}
(iii)

{c,e,b}
(iv)

{a,b}
(v)

{c,e}

Question 19

19.

Which of the following are true?

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

(i)

{d,a,c}
(ii)

{b,e}
(iii)

{b,e,c}
(iv)

{c,e}
(v)

{a,c}

Question 20

20.

Which of the following are true?

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

(i)

{c,d}
(ii)

{b,d}
(iii)

{b,d,c}
(iv)

{a,c}
(v)

{e,a,c}

Question 21

21.

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

(i)

trapezium
(ii)

rhombus
(iii)

square
(iv)

parallelogram
(v)

rectangle

Question 22

22.

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

(i)

rhombus
(ii)

trapezium
(iii)

square
(iv)

rectangle
(v)

parallelogram

Question 23

23.

Name all quadrilaterals whose diagonals are equal

(i)

square,kite
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rhombus
(iv)

square,parallelogram
(v)

square,rectangle

Question 24

24.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,rhombus
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,kite

Question 25

25.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,kite
(ii)

square,rectangle
(iii)

square,rhombus
(iv)

rectangle,rhombus
(v)

square,parallelogram

Question 26

26.

Name all quadrilaterals whose opposite sides are equal

(i)

rectangle,rhombus
(ii)

square,rhombus
(iii)

square,parallelogram
(iv)

square,rectangle
(v)

parallelogram,square,rhombus,rectangle

Question 27

27.

Name all quadrilaterals whose opposite sides are parallel

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,rectangle
(iii)

rectangle,rhombus
(iv)

square,kite
(v)

square,rhombus

Question 28

28.

Name all quadrilaterals whose all sides are equal

(i)

square,kite
(ii)

rectangle,rhombus
(iii)

square,parallelogram
(iv)

square,rhombus
(v)

square,rectangle

Question 29

29.

Name all quadrilaterals whose all angles are right angles

(i)

square,kite
(ii)

square,rectangle
(iii)

square,parallelogram
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rhombus

Question 30

30.

Name all quadrilaterals whose opposite angles are equal

(i)

square,rhombus
(ii)

square,kite
(iii)

rectangle,rhombus
(iv)

square,rectangle
(v)

parallelogram,square,rhombus,rectangle

Question 31

31.

Name all quadrilaterals whose all angles are equal

(i)

square,rhombus
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

square,rectangle
(v)

parallelogram,square,rhombus,rectangle

Question 32

32.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

rectangle,rhombus
(ii)

square,rhombus
(iii)

square,parallelogram
(iv)

square,kite
(v)

parallelogram,square,rhombus,rectangle

Question 33

33.

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

(i)

parallelogram
(ii)

trapezium
(iii)

rhombus
(iv)

square
(v)

rectangle

Question 34

34.

Which of the following statements are true?

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

(i)

{c,d}
(ii)

{a,b}
(iii)

{e,a,b}
(iv)

{b,d}
(v)

{c,d,b}

Question 35

35.

Which of the following properties apply for a parallelogram ?

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

(i)

{a,f,c}
(ii)

{a,b,e}
(iii)

{c,d,e,f}
(iv)

{a,c}
(v)

{b,d}

Question 36

36.

Which of the following properties apply for a trapezium ?

(i)

Diagonals bisect each other
(ii)

Diagonals are equal
(iii)

Diagonals are perpendicular to each other
(iv)

One pair of opposite sides are parallel
(v)

Both adjacent angles are obtuse

Question 37

37.

Which of the following properties apply for a kite ?

(i)

Adjacent angles are equal
(ii)

Opposite sides are parallel
(iii)

Opposite sides are equal
(iv)

All Adjacent sides are equal
(v)

Diagonals are perpendicular

Question 38

38.

Which of the following properties apply for a rhombus ?

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

(i)

{a,c,e,f,g}
(ii)

{d,c}
(iii)

{b,f,g}
(iv)

{b,d,e}
(v)

{b,a}

Question 39

39.

Which of the following properties apply for a rectangle ?

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

(i)

{g,a}
(ii)

{g,c}
(iii)

{g,b}
(iv)

{g,d,e}
(v)

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

Question 40

40.

Which of the following statements are true?

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

(i)

{c,e,d}
(ii)

{c,a}
(iii)

{a,b,d,f,g}
(iv)

{c,f,g}
(v)

{e,b}

Assignment Key