EduSahara™ Worksheet

Question 1

1.

Which of the following statements are true?

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

(i)

{d,c}
(ii)

{d,c,b}
(iii)

{e,a,b}
(iv)

{a,b}
(v)

{b,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, ∠B =

(i)

∠C
(ii)

∠A
(iii)

∠D
(iv)

90°

Question 4

4.

In which of the following are the diagonals equal ?

(i)

rhombus
(ii)

rectangle
(iii)

parallelogram
(iv)

None of these
(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)

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)

square
(ii)

trapezium
(iii)

None of these
(iv)

rectangle
(v)

rhombus

Question 7

7.

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

LN

is the diagonal. Then △KLM is

(i)

an equilateral triangle
(ii)

an isosceles triangle
(iii)

None of these
(iv)

a scalene triangle
(v)

an obtuse angled triangle

Question 8

8.

PQRS is a rhombus in which ∠P = 93° .

QS

is the diagonal. Then △PQR is

(i)

a scalene triangle
(ii)

an equilateral triangle
(iii)

an obtuse angled triangle
(iv)

None of these
(v)

an isosceles triangle

Question 9

9.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{b,e,d}
(iii)

{a,c,d}
(iv)

{e,c}
(v)

{b,a,c}

Question 10

10.

Which of the following have point symmetry ?

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

(i)

{a,b}
(ii)

{a,f,b}
(iii)

{e,c}
(iv)

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

{a,e,d}

Question 11

11.

Which of the following statements are true?

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

(i)

{b,d}
(ii)

{e,a,f}
(iii)

{b,g,c}
(iv)

{a,c}
(v)

{c,d,f,g}

Question 12

12.

Every rhombus is a

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

(i)

{a,b}
(ii)

{e,a,b}
(iii)

{c,d,b}
(iv)

{b,d}
(v)

{c,d}

Question 13

13.

The diagonals are equal in a

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

(i)

{d,e}
(ii)

{b,e,d}
(iii)

{a,d}
(iv)

{b,e}
(v)

{c,a,d}

Question 14

14.

Sum of the interior angles in a quadrilateral is

(i)

375°
(ii)

365°
(iii)

390°
(iv)

360°
(v)

370°

Question 15

15.

How many diagonals does a quadrilateral have?

(i)

3
(ii)

0
(iii)

4
(iv)

2
(v)

1

Question 16

16.

Which of the following are true?

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

(i)

{c,a,d}
(ii)

{b,e}
(iii)

{b,e,d}
(iv)

{d,e}
(v)

{a,d}

Question 17

17.

Which of the following are true?

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

(i)

{c,d}
(ii)

{e,b,a}
(iii)

{c,d,a}
(iv)

{b,a}
(v)

{a,d}

Question 18

18.

Which of the following are true?

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

(i)

{a,c}
(ii)

{b,d}
(iii)

{c,d}
(iv)

{e,a,c}
(v)

{b,d,c}

Question 19

19.

Which of the following are true?

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

(i)

{c,a}
(ii)

{d,b,a}
(iii)

{e,c,a}
(iv)

{a,b}
(v)

{d,b}

Question 20

20.

Which of the following are true?

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

(i)

{e,a,b}
(ii)

{a,b}
(iii)

{d,c}
(iv)

{d,c,b}
(v)

{b,c}

Question 21

21.

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

(i)

trapezium
(ii)

rectangle
(iii)

square
(iv)

parallelogram
(v)

rhombus

Question 22

22.

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

(i)

trapezium
(ii)

rectangle
(iii)

rhombus
(iv)

parallelogram
(v)

square

Question 23

23.

Name all quadrilaterals whose diagonals are equal

(i)

square,rhombus
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rectangle
(v)

square,parallelogram

Question 24

24.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,kite
(ii)

square,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

rectangle,rhombus
(v)

square,parallelogram

Question 25

25.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,rhombus
(ii)

square,parallelogram
(iii)

square,kite
(iv)

rectangle,rhombus
(v)

square,rectangle

Question 26

26.

Name all quadrilaterals whose opposite sides are equal

(i)

square,rectangle
(ii)

rectangle,rhombus
(iii)

square,parallelogram
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,kite

Question 27

27.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,parallelogram
(ii)

square,kite
(iii)

square,rhombus
(iv)

rectangle,rhombus
(v)

parallelogram,square,rhombus,rectangle

Question 28

28.

Name all quadrilaterals whose all sides are equal

(i)

rectangle,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,kite
(iv)

square,rhombus
(v)

square,rectangle

Question 29

29.

Name all quadrilaterals whose all angles are right angles

(i)

rectangle,rhombus
(ii)

square,rectangle
(iii)

square,rhombus
(iv)

square,kite
(v)

square,parallelogram

Question 30

30.

Name all quadrilaterals whose opposite angles are equal

(i)

square,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rectangle
(iv)

square,parallelogram
(v)

square,kite

Question 31

31.

Name all quadrilaterals whose all angles are equal

(i)

rectangle,rhombus
(ii)

square,parallelogram
(iii)

square,rectangle
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,kite

Question 32

32.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

parallelogram,square,rhombus,rectangle
(ii)

rectangle,rhombus
(iii)

square,rhombus
(iv)

square,parallelogram
(v)

square,kite

Question 33

33.

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

(i)

square
(ii)

rectangle
(iii)

parallelogram
(iv)

rhombus
(v)

trapezium

Question 34

34.

Which of the following statements are true?

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

(i)

{b,e}
(ii)

{b,e,c}
(iii)

{d,a,c}
(iv)

{c,e}
(v)

{a,c}

Question 35

35.

Which of the following properties apply for a parallelogram ?

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

(i)

{a,b}
(ii)

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

{a,e,d}
(iv)

{e,c}
(v)

{a,f,b}

Question 36

36.

Which of the following properties apply for a trapezium ?

(i)

Diagonals bisect each other
(ii)

Adjacent angles are supplementary
(iii)

Diagonals are equal
(iv)

Diagonals are perpendicular to each other
(v)

One pair of opposite sides are parallel

Question 37

37.

Which of the following properties apply for a kite ?

(i)

Diagonals are equal
(ii)

All Adjacent sides are equal
(iii)

Opposite sides are parallel
(iv)

Adjacent angles are equal
(v)

Diagonals are perpendicular

Question 38

38.

Which of the following properties apply for a rhombus ?

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

(i)

{d,c}
(ii)

{a,b}
(iii)

{b,c,e,f,g}
(iv)

{a,f,g}
(v)

{a,d,e}

Question 39

39.

Which of the following properties apply for a rectangle ?

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

(i)

{b,d}
(ii)

{b,c}
(iii)

{b,e,f}
(iv)

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

{b,a}

Question 40

40.

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 square is a rectangle
e)	Every square is a rhombus
f)	Every rhombus is a parallelogram
g)	Every rectangle is a parallelogram

(i)

{b,d}
(ii)

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

{a,b,e}
(iv)

{a,c}
(v)

{a,f,g}

Question 41

41.

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

(i)

parallelogram
(ii)

rectangle
(iii)

square
(iv)

rhombus

Question 42

42.

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

(i)

parallelogram
(ii)

rectangle
(iii)

square
(iv)

rhombus

Question 43

43.

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