EduSahara™ Worksheet

Question 1

1.

The diagonals are equal in a

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

(i)

{a,c}
(ii)

{b,e,c}
(iii)

{d,a,c}
(iv)

{c,e}
(v)

{b,e}

Question 2

2.

Sum of the interior angles in a quadrilateral is

(i)

370°
(ii)

375°
(iii)

365°
(iv)

390°
(v)

360°

Question 3

3.

How many diagonals does a quadrilateral have?

(i)

0
(ii)

2
(iii)

3
(iv)

1
(v)

4

Question 4

4.

Which of the following are true?

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

(i)

{b,a}
(ii)

{e,b,a}
(iii)

{a,c}
(iv)

{d,c}
(v)

{d,c,a}

Question 5

5.

Which of the following are true?

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

(i)

{c,a}
(ii)

{d,b,a}
(iii)

{a,b}
(iv)

{d,b}
(v)

{e,c,a}

Question 6

6.

Which of the following are true?

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

(i)

{e,a,b}
(ii)

{b,d}
(iii)

{a,b}
(iv)

{c,d}
(v)

{c,d,b}

Question 7

7.

Which of the following are true?

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

(i)

{d,c}
(ii)

{b,a}
(iii)

{a,c}
(iv)

{e,b,a}
(v)

{d,c,a}

Question 8

8.

Which of the following are true?

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

(i)

{e,c,a}
(ii)

{d,b,a}
(iii)

{d,b}
(iv)

{c,a}
(v)

{a,b}

Question 9

9.

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

(i)

parallelogram
(ii)

square
(iii)

rectangle
(iv)

trapezium
(v)

rhombus

Question 10

10.

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

(i)

rhombus
(ii)

trapezium
(iii)

square
(iv)

parallelogram
(v)

rectangle

Question 11

11.

Name all quadrilaterals whose diagonals are equal

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,parallelogram
(iii)

square,rectangle
(iv)

square,rhombus
(v)

square,kite

Question 12

12.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,kite
(ii)

rectangle,rhombus
(iii)

square,rectangle
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,parallelogram

Question 13

13.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

square,kite
(v)

square,rhombus

Question 14

14.

Name all quadrilaterals whose opposite sides are equal

(i)

square,rectangle
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

square,rhombus
(v)

parallelogram,square,rhombus,rectangle

Question 15

15.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,parallelogram
(ii)

square,kite
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rhombus
(v)

rectangle,rhombus

Question 16

16.

Name all quadrilaterals whose all sides are equal

(i)

square,rectangle
(ii)

square,kite
(iii)

square,parallelogram
(iv)

rectangle,rhombus
(v)

square,rhombus

Question 17

17.

Name all quadrilaterals whose all angles are right angles

(i)

rectangle,rhombus
(ii)

square,rectangle
(iii)

square,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,kite

Question 18

18.

Name all quadrilaterals whose opposite angles are equal

(i)

rectangle,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rectangle
(iv)

square,kite
(v)

square,rhombus

Question 19

19.

Name all quadrilaterals whose all angles are equal

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,rectangle
(iii)

square,rhombus
(iv)

rectangle,rhombus
(v)

square,kite

Question 20

20.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

parallelogram,square,rhombus,rectangle
(ii)

rectangle,rhombus
(iii)

square,rhombus
(iv)

square,rectangle
(v)

square,parallelogram

Question 21

21.

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

(i)

trapezium
(ii)

rectangle
(iii)

rhombus
(iv)

parallelogram
(v)

square

Question 22

22.

Which of the following statements are true?

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

(i)

{e,a,c}
(ii)

{c,d}
(iii)

{b,d,c}
(iv)

{a,c}
(v)

{b,d}

Question 23

23.

If ABCD is an isosceles trapezium, ∠D =

(i)

∠C
(ii)

∠B
(iii)

∠A
(iv)

90°

Question 24

24.

In which of the following are the diagonals equal ?

(i)

parallelogram
(ii)

rectangle
(iii)

rhombus
(iv)

trapezium
(v)

None of these

Question 25

25.

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

(i)

None of these
(ii)

rectangle
(iii)

square
(iv)

parallelogram
(v)

trapezium

Question 26

26.

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 27

27.

FGHI is a rhombus in which ∠F = 120° .

GI

is the diagonal. Then △FGH is

(i)

None of these
(ii)

an obtuse angled triangle
(iii)

a scalene triangle
(iv)

an isosceles triangle
(v)

an equilateral triangle

Question 28

28.

MNOP is a rhombus in which ∠M = 110° .

NP

is the diagonal. Then △MNO is

(i)

a scalene triangle
(ii)

None of these
(iii)

an equilateral triangle
(iv)

an obtuse angled triangle
(v)

an isosceles triangle

Question 29

29.

Which of the following statements are true?

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

(i)

{b,c,e}
(ii)

{b,a,d}
(iii)

{a,d,e}
(iv)

{b,a}
(v)

{c,d}

Question 30

30.

Which of the following have point symmetry ?

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

(i)

{e,d,a}
(ii)

{f,b}
(iii)

{e,f,c}
(iv)

{e,a}
(v)

{a,b,c,d}

Question 31

31.

Which of the following statements are true?

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

(i)

{a,b}
(ii)

{d,c}
(iii)

{d,g,b}
(iv)

{e,a,f}
(v)

{b,c,f,g}

Question 32

32.

Which of the following statements are true?

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

(i)

{c,d,b}
(ii)

{c,d}
(iii)

{e,a,b}
(iv)

{b,d}
(v)

{a,b}

Question 33

33.

Which of the following properties apply for a parallelogram ?

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

(i)

{c,d}
(ii)

{a,f,b}
(iii)

{a,b}
(iv)

{a,c,e}
(v)

{b,d,e,f}

Question 34

34.

Which of the following properties apply for a trapezium ?

(i)

Diagonals are perpendicular to each other
(ii)

Diagonals are equal
(iii)

Diagonals bisect each other
(iv)

One pair of opposite sides are parallel
(v)

Both adjacent angles are obtuse

Question 35

35.

Which of the following properties apply for a kite ?

(i)

All Adjacent sides are equal
(ii)

Adjacent angles are equal
(iii)

Diagonals are equal
(iv)

Diagonals are perpendicular
(v)

Opposite sides are parallel

Question 36

36.

Which of the following properties apply for a rhombus ?

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

(i)

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

{f,b}
(iii)

{d,a}
(iv)

{d,e,g}
(v)

{d,f,c}

Question 37

37.

Which of the following properties apply for a rectangle ?

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

(i)

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

{f,d,e}
(iii)

{f,a}
(iv)

{f,b}
(v)

{f,c}

Question 38

38.

Which of the following statements are true?

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

(i)

{a,b}
(ii)

{a,f,g}
(iii)

{a,e,d}
(iv)

{e,c}
(v)

{b,c,d,f,g}

Assignment Key