EduSahara™ Worksheet

Question 1

1.

Which of the following statements are true?

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

(i)

{c,e}
(ii)

{b,e,c}
(iii)

{b,e}
(iv)

{a,c}
(v)

{d,a,c}

Question 2

2.

The sum of the interior angles of a quadrilateral is

(i)

90°
(ii)

270°
(iii)

360°
(iv)

180°

Question 3

3.

If ABCD is an isosceles trapezium, ∠C =

(i)

∠D
(ii)

∠A
(iii)

90°
(iv)

∠B

Question 4

4.

In which of the following are the diagonals equal ?

(i)

None of these
(ii)

parallelogram
(iii)

rhombus
(iv)

trapezium
(v)

rectangle

Question 5

5.

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

(i)

rectangle
(ii)

square
(iii)

parallelogram
(iv)

trapezium
(v)

None of these

Question 6

6.

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

(i)

square
(ii)

trapezium
(iii)

rhombus
(iv)

None of these
(v)

rectangle

Question 7

7.

KLMN is a rhombus in which ∠K = 120° .

LN

is the diagonal. Then △KLM is

(i)

None of these
(ii)

an equilateral triangle
(iii)

an obtuse angled triangle
(iv)

a scalene triangle
(v)

an isosceles triangle

Question 8

8.

EFGH is a rhombus in which ∠E = 118° .

FH

is the diagonal. Then △EFG is

(i)

an isosceles triangle
(ii)

an equilateral triangle
(iii)

None of these
(iv)

an obtuse angled triangle
(v)

a scalene triangle

Question 9

9.

Which of the following statements are true?

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

(i)

{b,d,e}
(ii)

{d,c}
(iii)

{b,a}
(iv)

{a,c,e}
(v)

{b,a,c}

Question 10

10.

Which of the following statements are true?

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

(i)

{d,g,a}
(ii)

{f,c,e}
(iii)

{a,b,e,g}
(iv)

{d,b}
(v)

{c,a}

Question 11

11.

Which of the following figures is a regular quadrilateral?

(i)

rectangle
(ii)

rhombus
(iii)

square
(iv)

trapezium
(v)

parallelogram

Question 12

12.

Every rhombus is a

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

(i)

{a,b}
(ii)

{e,a,b}
(iii)

{d,c,b}
(iv)

{b,c}
(v)

{d,c}

Question 13

13.

The diagonals are equal in a

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

(i)

{d,c,a}
(ii)

{e,b,a}
(iii)

{a,c}
(iv)

{d,c}
(v)

{b,a}

Question 14

14.

Sum of the interior angles in a quadrilateral is

(i)

375°
(ii)

370°
(iii)

365°
(iv)

360°
(v)

390°

Question 15

15.

How many diagonals does a quadrilateral have?

(i)

2
(ii)

1
(iii)

4
(iv)

0
(v)

3

Question 16

16.

Which of the following are true?

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

(i)

{b,d}
(ii)

{e,a,c}
(iii)

{c,d}
(iv)

{a,c}
(v)

{b,d,c}

Question 17

17.

Which of the following are true?

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

(i)

{e,a,b}
(ii)

{c,d}
(iii)

{a,b}
(iv)

{b,d}
(v)

{c,d,b}

Question 18

18.

Which of the following are true?

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

(i)

{b,c}
(ii)

{a,b}
(iii)

{d,c}
(iv)

{e,a,b}
(v)

{d,c,b}

Question 19

19.

Which of the following are true?

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

(i)

{b,e,c}
(ii)

{c,e}
(iii)

{b,e}
(iv)

{a,c}
(v)

{d,a,c}

Question 20

20.

Which of the following are true?

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

(i)

{d,a,b}
(ii)

{b,e}
(iii)

{a,b}
(iv)

{c,e}
(v)

{c,e,b}

Question 21

21.

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

(i)

square
(ii)

trapezium
(iii)

parallelogram
(iv)

rhombus
(v)

rectangle

Question 22

22.

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

(i)

parallelogram
(ii)

trapezium
(iii)

rectangle
(iv)

square
(v)

rhombus

Question 23

23.

Name all quadrilaterals whose diagonals are equal

(i)

square,rectangle
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

square,kite
(v)

parallelogram,square,rhombus,rectangle

Question 24

24.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,rectangle
(ii)

square,parallelogram
(iii)

square,kite
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rhombus

Question 25

25.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,rhombus
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

square,kite
(v)

square,rectangle

Question 26

26.

Name all quadrilaterals whose opposite sides are equal

(i)

square,rhombus
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

square,kite
(v)

parallelogram,square,rhombus,rectangle

Question 27

27.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,rectangle
(ii)

square,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

rectangle,rhombus
(v)

square,parallelogram

Question 28

28.

Name all quadrilaterals whose all sides are equal

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,kite
(iii)

rectangle,rhombus
(iv)

square,parallelogram
(v)

square,rhombus

Question 29

29.

Name all quadrilaterals whose all angles are right angles

(i)

rectangle,rhombus
(ii)

square,rhombus
(iii)

square,kite
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rectangle

Question 30

30.

Name all quadrilaterals whose opposite angles are equal

(i)

square,rectangle
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,kite
(iv)

square,rhombus
(v)

square,parallelogram

Question 31

31.

Name all quadrilaterals whose all angles are equal

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,parallelogram
(iii)

square,rhombus
(iv)

square,rectangle
(v)

rectangle,rhombus

Question 32

32.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,parallelogram
(iii)

square,rectangle
(iv)

square,kite
(v)

square,rhombus

Question 33

33.

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

(i)

square
(ii)

trapezium
(iii)

parallelogram
(iv)

rhombus
(v)

rectangle

Question 34

34.

Which of the following statements are true?

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

(i)

{b,d}
(ii)

{a,b}
(iii)

{c,d,b}
(iv)

{c,d}
(v)

{e,a,b}

Question 35

35.

Which of the following properties apply for a parallelogram ?

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

(i)

{d,e,a}
(ii)

{d,a}
(iii)

{d,f,c}
(iv)

{f,b}
(v)

{a,b,c,e}

Question 36

36.

Which of the following properties apply for a trapezium ?

(i)

Diagonals are perpendicular to each other
(ii)

Diagonals are equal
(iii)

One pair of opposite sides are parallel
(iv)

Adjacent angles are supplementary
(v)

Both adjacent angles are obtuse

Question 37

37.

Which of the following properties apply for a kite ?

(i)

Opposite angles are parallel
(ii)

Opposite sides are parallel
(iii)

Opposite sides are equal
(iv)

Diagonals are perpendicular
(v)

All Adjacent sides are equal

Question 38

38.

Which of the following properties apply for a rhombus ?

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

(i)

{f,g,c}
(ii)

{g,b}
(iii)

{f,a}
(iv)

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

{f,d,e}

Question 39

39.

Which of the following properties apply for a rectangle ?

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

(i)

{f,a}
(ii)

{f,b}
(iii)

{a,b,c,d,e,g}
(iv)

{f,c}
(v)

{f,d,e}

Question 40

40.

Which of the following statements are true?

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

(i)

{b,f,d}
(ii)

{b,a}
(iii)

{f,c}
(iv)

{b,e,g}
(v)

{a,c,d,e,g}

Assignment Key