EduSahara™ Worksheet

Question 1

1.

Which of the following are true?

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

(i)

{e,b,a}
(ii)

{c,d,a}
(iii)

{c,d}
(iv)

{b,a}
(v)

{a,d}

Question 2

2.

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 square
e)	A parallelogram is a rectangle

(i)

{d,c}
(ii)

{e,b,a}
(iii)

{d,c,a}
(iv)

{a,c}
(v)

{b,a}

Question 3

3.

Which of the following are true?

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

(i)

{c,e}
(ii)

{d,a,c}
(iii)

{b,e}
(iv)

{b,e,c}
(v)

{a,c}

Question 4

4.

Which of the following are true?

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

(i)

{e,a,b}
(ii)

{c,d}
(iii)

{b,d}
(iv)

{c,d,b}
(v)

{a,b}

Question 5

5.

Which of the following are true?

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

(i)

{a,b}
(ii)

{d,c,b}
(iii)

{e,a,b}
(iv)

{b,c}
(v)

{d,c}

Question 6

6.

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

(i)

square
(ii)

trapezium
(iii)

rectangle
(iv)

rhombus
(v)

parallelogram

Question 7

7.

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

(i)

rhombus
(ii)

rectangle
(iii)

square
(iv)

trapezium
(v)

parallelogram

Question 8

8.

Name all quadrilaterals whose diagonals are equal

(i)

rectangle,rhombus
(ii)

square,rectangle
(iii)

square,parallelogram
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,kite

Question 9

9.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,kite
(ii)

square,rhombus
(iii)

square,rectangle
(iv)

parallelogram,square,rhombus,rectangle
(v)

rectangle,rhombus

Question 10

10.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,rhombus
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,kite
(v)

square,rectangle

Question 11

11.

Name all quadrilaterals whose opposite sides are equal

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,parallelogram
(iii)

square,rhombus
(iv)

square,rectangle
(v)

square,kite

Question 12

12.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,rectangle
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,kite

Question 13

13.

Name all quadrilaterals whose all sides are equal

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,kite
(iii)

square,rhombus
(iv)

rectangle,rhombus
(v)

square,parallelogram

Question 14

14.

Name all quadrilaterals whose all angles are right angles

(i)

rectangle,rhombus
(ii)

square,kite
(iii)

square,parallelogram
(iv)

square,rhombus
(v)

square,rectangle

Question 15

15.

Name all quadrilaterals whose opposite angles are equal

(i)

square,parallelogram
(ii)

parallelogram,square,rhombus,rectangle
(iii)

rectangle,rhombus
(iv)

square,rectangle
(v)

square,rhombus

Question 16

16.

Name all quadrilaterals whose all angles are equal

(i)

rectangle,rhombus
(ii)

square,kite
(iii)

square,rectangle
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rhombus

Question 17

17.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,rhombus
(iii)

square,parallelogram
(iv)

rectangle,rhombus
(v)

square,rectangle

Question 18

18.

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

(i)

rhombus
(ii)

trapezium
(iii)

square
(iv)

rectangle
(v)

parallelogram

Question 19

19.

Which of the following statements are true?

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

(i)

{a,b}
(ii)

{c,d,b}
(iii)

{e,a,b}
(iv)

{b,d}
(v)

{c,d}

Question 20

20.

The sum of the interior angles of a quadrilateral is

(i)

360°
(ii)

180°
(iii)

270°
(iv)

90°

Question 21

21.

If ABCD is an isosceles trapezium, ∠B =

(i)

∠A
(ii)

90°
(iii)

∠C
(iv)

∠D

Question 22

22.

In which of the following are the diagonals equal ?

(i)

trapezium
(ii)

rectangle
(iii)

parallelogram
(iv)

None of these
(v)

rhombus

Question 23

23.

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

(i)

parallelogram
(ii)

square
(iii)

rectangle
(iv)

None of these
(v)

trapezium

Question 24

24.

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

(i)

rectangle
(ii)

rhombus
(iii)

square
(iv)

trapezium
(v)

None of these

Question 25

25.

DEFG is a rhombus in which ∠D = 120° .

EG

is the diagonal. Then △DEF is

(i)

an isosceles triangle
(ii)

an equilateral triangle
(iii)

an obtuse angled triangle
(iv)

None of these
(v)

a scalene triangle

Question 26

26.

PQRS is a rhombus in which ∠P = 112° .

QS

is the diagonal. Then △PQR is

(i)

a scalene triangle
(ii)

None of these
(iii)

an obtuse angled triangle
(iv)

an equilateral triangle
(v)

an isosceles triangle

Question 27

27.

Which of the following statements are true?

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

(i)

{b,c,d}
(ii)

{a,b,c}
(iii)

{e,c}
(iv)

{a,e,d}
(v)

{a,b}

Question 28

28.

Which of the following statements are true?

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

(i)

{e,b,f}
(ii)

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

{d,g,a}
(iv)

{b,a}
(v)

{d,c}

Question 29

29.

Every rhombus is a

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

(i)

{a,d}
(ii)

{b,a}
(iii)

{e,b,a}
(iv)

{c,d}
(v)

{c,d,a}

Question 30

30.

The diagonals are equal in a

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

(i)

{d,b,a}
(ii)

{c,a}
(iii)

{e,c,a}
(iv)

{a,b}
(v)

{d,b}

Question 31

31.

Which of the following statements are true?

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

(i)

{a,d}
(ii)

{c,a,d}
(iii)

{b,e,d}
(iv)

{d,e}
(v)

{b,e}

Question 32

32.

Which of the following properties apply for a parallelogram ?

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

(i)

{c,d,e}
(ii)

{c,f,a}
(iii)

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

{d,b}
(v)

{c,a}

Question 33

33.

Which of the following properties apply for a trapezium ?

(i)

Diagonals bisect each other
(ii)

Diagonals are equal
(iii)

One pair of opposite sides are parallel
(iv)

Adjacent angles are supplementary
(v)

Diagonals are perpendicular to each other

Question 34

34.

Which of the following properties apply for a kite ?

(i)

Adjacent angles are equal
(ii)

Diagonals are equal
(iii)

Diagonals are perpendicular
(iv)

Opposite angles are parallel
(v)

All Adjacent sides are equal

Question 35

35.

Which of the following properties apply for a rhombus ?

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

(i)

{a,b}
(ii)

{a,f,g}
(iii)

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

{d,c}
(v)

{a,d,e}

Question 36

36.

Which of the following properties apply for a rectangle ?

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

(i)

{b,d}
(ii)

{b,c}
(iii)

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

{b,a}
(v)

{b,e,f}

Question 37

37.

Which of the following statements are true?

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

(i)

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

{a,e,g}
(iii)

{a,f,d}
(iv)

{f,c}
(v)

{a,b}

Assignment Key