EduSahara™ Worksheet

Question 1

1.

The diagonals are equal in a

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

(i)

{b,d}
(ii)

{e,a,b}
(iii)

{a,b}
(iv)

{c,d,b}
(v)

{c,d}

Question 2

2.

Sum of the interior angles in a quadrilateral is

(i)

390°
(ii)

375°
(iii)

370°
(iv)

360°
(v)

365°

Question 3

3.

How many diagonals does a quadrilateral have?

(i)

0
(ii)

4
(iii)

3
(iv)

2
(v)

1

Question 4

4.

Which of the following are true?

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

(i)

{a,c}
(ii)

{e,b,a}
(iii)

{d,c}
(iv)

{b,a}
(v)

{d,c,a}

Question 5

5.

Which of the following are true?

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

(i)

{c,e,b}
(ii)

{c,e}
(iii)

{d,a,b}
(iv)

{a,b}
(v)

{b,e}

Question 6

6.

Which of the following are true?

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

(i)

{c,e}
(ii)

{a,e}
(iii)

{c,e,a}
(iv)

{b,a}
(v)

{d,b,a}

Question 7

7.

Which of the following are true?

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

(i)

{c,e}
(ii)

{b,a}
(iii)

{a,e}
(iv)

{c,e,a}
(v)

{d,b,a}

Question 8

8.

Which of the following are true?

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

(i)

{a,d}
(ii)

{b,a}
(iii)

{c,d,a}
(iv)

{e,b,a}
(v)

{c,d}

Question 9

9.

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

(i)

rhombus
(ii)

square
(iii)

rectangle
(iv)

trapezium
(v)

parallelogram

Question 10

10.

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

(i)

trapezium
(ii)

parallelogram
(iii)

rhombus
(iv)

rectangle
(v)

square

Question 11

11.

Name all quadrilaterals whose diagonals are equal

(i)

square,parallelogram
(ii)

square,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rectangle
(v)

rectangle,rhombus

Question 12

12.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,rectangle
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

square,kite
(v)

parallelogram,square,rhombus,rectangle

Question 13

13.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

rectangle,rhombus
(ii)

square,kite
(iii)

square,rectangle
(iv)

square,rhombus
(v)

parallelogram,square,rhombus,rectangle

Question 14

14.

Name all quadrilaterals whose opposite sides are equal

(i)

square,parallelogram
(ii)

parallelogram,square,rhombus,rectangle
(iii)

rectangle,rhombus
(iv)

square,rhombus
(v)

square,kite

Question 15

15.

Name all quadrilaterals whose opposite sides are parallel

(i)

rectangle,rhombus
(ii)

square,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,parallelogram
(v)

square,rectangle

Question 16

16.

Name all quadrilaterals whose all sides are equal

(i)

rectangle,rhombus
(ii)

square,parallelogram
(iii)

square,rhombus
(iv)

square,rectangle
(v)

parallelogram,square,rhombus,rectangle

Question 17

17.

Name all quadrilaterals whose all angles are right angles

(i)

square,rhombus
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rectangle
(v)

square,parallelogram

Question 18

18.

Name all quadrilaterals whose opposite angles are equal

(i)

square,rhombus
(ii)

square,parallelogram
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rectangle
(v)

square,kite

Question 19

19.

Name all quadrilaterals whose all angles are equal

(i)

square,rectangle
(ii)

square,rhombus
(iii)

rectangle,rhombus
(iv)

square,kite
(v)

parallelogram,square,rhombus,rectangle

Question 20

20.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,rectangle
(iii)

rectangle,rhombus
(iv)

square,kite
(v)

square,rhombus

Question 21

21.

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

(i)

rectangle
(ii)

rhombus
(iii)

trapezium
(iv)

parallelogram
(v)

square

Question 22

22.

Which of the following statements are true?

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

(i)

{a,b}
(ii)

{c,e,b}
(iii)

{d,a,b}
(iv)

{c,e}
(v)

{b,e}

Question 23

23.

If ABCD is an isosceles trapezium, ∠A =

(i)

∠D
(ii)

∠B
(iii)

∠C
(iv)

90°

Question 24

24.

In which of the following are the diagonals equal ?

(i)

rectangle
(ii)

trapezium
(iii)

parallelogram
(iv)

None of these
(v)

rhombus

Question 25

25.

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

(i)

rectangle
(ii)

None of these
(iii)

square
(iv)

trapezium
(v)

parallelogram

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)

trapezium
(iv)

square
(v)

None of these

Question 27

27.

MNOP is a rhombus in which ∠M = 120° .

NP

is the diagonal. Then △MNO is

(i)

an obtuse angled triangle
(ii)

None of these
(iii)

a scalene triangle
(iv)

an equilateral triangle
(v)

an isosceles triangle

Question 28

28.

IJKL is a rhombus in which ∠I = 132° .

JL

is the diagonal. Then △IJK is

(i)

an equilateral triangle
(ii)

None of these
(iii)

an obtuse angled triangle
(iv)

an isosceles triangle
(v)

a scalene triangle

Question 29

29.

Which of the following statements are true?

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

(i)

{e,b}
(ii)

{a,b,d}
(iii)

{c,a}
(iv)

{c,e,d}
(v)

{c,a,b}

Question 30

30.

Which of the following have point symmetry ?

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

(i)

{b,f,a}
(ii)

{b,c,e}
(iii)

{b,a}
(iv)

{c,d}
(v)

{a,d,e,f}

Question 31

31.

Which of the following statements are true?

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

(i)

{a,b}
(ii)

{e,a,f}
(iii)

{d,g,b}
(iv)

{d,c}
(v)

{b,c,f,g}

Question 32

32.

Which of the following statements are true?

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

(i)

{e,a,b}
(ii)

{c,d,b}
(iii)

{b,d}
(iv)

{a,b}
(v)

{c,d}

Question 33

33.

Which of the following properties apply for a parallelogram ?

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

(i)

{b,d,e,f}
(ii)

{a,b}
(iii)

{c,d}
(iv)

{a,c,e}
(v)

{a,f,b}

Question 34

34.

Which of the following properties apply for a trapezium ?

(i)

Diagonals are perpendicular to each other
(ii)

Diagonals bisect each other
(iii)

One pair of opposite sides are parallel
(iv)

Adjacent angles are supplementary
(v)

Both adjacent angles are obtuse

Question 35

35.

Which of the following properties apply for a kite ?

(i)

Diagonals are equal
(ii)

Opposite sides are equal
(iii)

Opposite angles are parallel
(iv)

Diagonals are perpendicular
(v)

All Adjacent sides are equal

Question 36

36.

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)	Opposite sides are parallel
e)	Opposite sides are equal
f)	Diagonals are equal
g)	Diagonals bisect each other

(i)

{a,f,d}
(ii)

{f,c}
(iii)

{a,e,g}
(iv)

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

{a,b}

Question 37

37.

Which of the following properties apply for a rectangle ?

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

(i)

{a,e,f}
(ii)

{a,b}
(iii)

{a,d}
(iv)

{a,c}
(v)

{b,c,d,e,f,g}

Question 38

38.

Which of the following statements are true?

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

(i)

{a,d,e}
(ii)

{a,b}
(iii)

{a,f,g}
(iv)

{d,c}
(v)

{b,c,e,f,g}

Assignment Key