EduSahara™ Worksheet

Question 1

1.

Which of the following are true?

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

(i)

{b,d,c}
(ii)

{b,d}
(iii)

{c,d}
(iv)

{a,c}
(v)

{e,a,c}

Question 2

2.

Which of the following are true?

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

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

(i)

{b,e,c}
(ii)

{d,a,c}
(iii)

{a,c}
(iv)

{c,e}
(v)

{b,e}

Question 4

4.

Which of the following are true?

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

(i)

{b,e}
(ii)

{b,e,c}
(iii)

{c,e}
(iv)

{a,c}
(v)

{d,a,c}

Question 5

5.

Which of the following are true?

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

(i)

{d,e}
(ii)

{b,e}
(iii)

{b,e,d}
(iv)

{c,a,d}
(v)

{a,d}

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)

trapezium
(ii)

parallelogram
(iii)

rhombus
(iv)

square
(v)

rectangle

Question 8

8.

Name all quadrilaterals whose diagonals are equal

(i)

square,rhombus
(ii)

square,kite
(iii)

square,rectangle
(iv)

rectangle,rhombus
(v)

parallelogram,square,rhombus,rectangle

Question 9

9.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,parallelogram
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rhombus
(iv)

square,kite
(v)

square,rectangle

Question 10

10.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,parallelogram
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,kite
(iv)

square,rhombus
(v)

rectangle,rhombus

Question 11

11.

Name all quadrilaterals whose opposite sides are equal

(i)

square,kite
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rectangle

Question 12

12.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,parallelogram
(ii)

parallelogram,square,rhombus,rectangle
(iii)

rectangle,rhombus
(iv)

square,rectangle
(v)

square,kite

Question 13

13.

Name all quadrilaterals whose all sides are equal

(i)

square,kite
(ii)

rectangle,rhombus
(iii)

square,rhombus
(iv)

square,rectangle
(v)

parallelogram,square,rhombus,rectangle

Question 14

14.

Name all quadrilaterals whose all angles are right angles

(i)

square,parallelogram
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rectangle
(v)

square,rhombus

Question 15

15.

Name all quadrilaterals whose opposite angles are equal

(i)

square,rectangle
(ii)

square,kite
(iii)

rectangle,rhombus
(iv)

square,rhombus
(v)

parallelogram,square,rhombus,rectangle

Question 16

16.

Name all quadrilaterals whose all angles are equal

(i)

square,kite
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rectangle
(iv)

square,rhombus
(v)

square,parallelogram

Question 17

17.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

square,rectangle
(ii)

square,kite
(iii)

parallelogram,square,rhombus,rectangle
(iv)

rectangle,rhombus
(v)

square,rhombus

Question 18

18.

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

(i)

trapezium
(ii)

square
(iii)

rhombus
(iv)

parallelogram
(v)

rectangle

Question 19

19.

Which of the following statements are true?

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

(i)

{b,e}
(ii)

{a,b}
(iii)

{c,e}
(iv)

{c,e,b}
(v)

{d,a,b}

Question 20

20.

The sum of the interior angles of a quadrilateral is

(i)

270°
(ii)

360°
(iii)

180°
(iv)

90°

Question 21

21.

If ABCD is an isosceles trapezium, ∠D =

(i)

∠A
(ii)

∠C
(iii)

∠B
(iv)

90°

Question 22

22.

In which of the following are the diagonals equal ?

(i)

trapezium
(ii)

None of these
(iii)

parallelogram
(iv)

rectangle
(v)

rhombus

Question 23

23.

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

(i)

parallelogram
(ii)

None of these
(iii)

trapezium
(iv)

rectangle
(v)

square

Question 24

24.

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

(i)

trapezium
(ii)

rectangle
(iii)

square
(iv)

None of these
(v)

rhombus

Question 25

25.

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

EG

is the diagonal. Then △DEF is

(i)

None of these
(ii)

an isosceles triangle
(iii)

an obtuse angled triangle
(iv)

a scalene triangle
(v)

an equilateral triangle

Question 26

26.

FGHI is a rhombus in which ∠F = 137° .

GI

is the diagonal. Then △FGH is

(i)

an equilateral triangle
(ii)

a scalene triangle
(iii)

an isosceles triangle
(iv)

None of these
(v)

an obtuse angled 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 rectangle is a parallelogram
d)	Every parallelogram is a rectangle
e)	Every rhombus is parallelogram

(i)

{b,c,e}
(ii)

{a,d,e}
(iii)

{a,b}
(iv)

{a,b,c}
(v)

{d,c}

Question 28

28.

Which of the following statements are true?

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

(i)

{c,d}
(ii)

{c,g,a}
(iii)

{e,b,f}
(iv)

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

{b,a}

Question 29

29.

Every rhombus is a

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

(i)

{c,e}
(ii)

{c,e,a}
(iii)

{b,a}
(iv)

{a,e}
(v)

{d,b,a}

Question 30

30.

The diagonals are equal in a

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

(i)

{d,a,b}
(ii)

{b,e}
(iii)

{c,e}
(iv)

{c,e,b}
(v)

{a,b}

Question 31

31.

Which of the following statements are true?

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

(i)

{e,a,b}
(ii)

{d,c}
(iii)

{d,c,b}
(iv)

{a,b}
(v)

{b,c}

Question 32

32.

Which of the following properties apply for a parallelogram ?

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

(i)

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

{b,a}
(iii)

{e,c}
(iv)

{b,e,d}
(v)

{b,f,a}

Question 33

33.

Which of the following properties apply for a trapezium ?

(i)

Both adjacent angles are obtuse
(ii)

Diagonals bisect each other
(iii)

Diagonals are equal
(iv)

One pair of opposite sides are parallel
(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 perpendicular
(iii)

All Adjacent sides are equal
(iv)

Opposite sides are equal
(v)

Opposite sides are parallel

Question 35

35.

Which of the following properties apply for a rhombus ?

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

(i)

{a,b}
(ii)

{c,d}
(iii)

{a,f,g}
(iv)

{a,c,e}
(v)

{b,d,e,f,g}

Question 36

36.

Which of the following properties apply for a rectangle ?

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

(i)

{c,a}
(ii)

{c,d}
(iii)

{c,b}
(iv)

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

{c,e,f}

Question 37

37.

Which of the following statements are true?

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

(i)

{d,a}
(ii)

{d,f,g}
(iii)

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

{e,b}
(v)

{d,e,c}

Assignment Key