EduSahara™ Worksheet

Question 1

1.

Which of the following statements are true?

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

(i)

{a,d}
(ii)

{c,d,a}
(iii)

{b,a}
(iv)

{e,b,a}
(v)

{c,d}

Question 2

2.

The sum of the interior angles of a quadrilateral is

(i)

360°
(ii)

90°
(iii)

270°
(iv)

180°

Question 3

3.

If ABCD is an isosceles trapezium, ∠D =

(i)

∠B
(ii)

∠C
(iii)

90°
(iv)

∠A

Question 4

4.

In which of the following are the diagonals equal ?

(i)

trapezium
(ii)

rectangle
(iii)

parallelogram
(iv)

None of these
(v)

rhombus

Question 5

5.

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

(i)

parallelogram
(ii)

None of these
(iii)

rectangle
(iv)

square
(v)

trapezium

Question 6

6.

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)

None of these
(v)

square

Question 7

7.

LMNO is a rhombus in which ∠L = 120° .

MO

is the diagonal. Then △LMN is

(i)

a scalene triangle
(ii)

None of these
(iii)

an equilateral triangle
(iv)

an isosceles triangle
(v)

an obtuse angled triangle

Question 8

8.

IJKL is a rhombus in which ∠I = 139° .

JL

is the diagonal. Then △IJK is

(i)

None of these
(ii)

an equilateral triangle
(iii)

an obtuse angled triangle
(iv)

a scalene triangle
(v)

an isosceles triangle

Question 9

9.

Which of the following statements are true?

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

(i)

{b,a,c}
(ii)

{b,a}
(iii)

{b,e,d}
(iv)

{a,c,d}
(v)

{e,c}

Question 10

10.

Which of the following have point symmetry ?

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

(i)

{a,b}
(ii)

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

{e,c}
(iv)

{a,f,b}
(v)

{a,e,d}

Question 11

11.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{e,b,f}
(iii)

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

{d,c}
(v)

{d,g,a}

Question 12

12.

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

(i)

rectangle
(ii)

trapezium
(iii)

parallelogram
(iv)

rhombus
(v)

square

Question 13

13.

Sum of the interior angles in a quadrilateral is

(i)

365°
(ii)

370°
(iii)

360°
(iv)

390°
(v)

375°

Question 14

14.

How many diagonals does a quadrilateral have?

(i)

0
(ii)

1
(iii)

2
(iv)

4
(v)

3

Question 15

15.

Which of the following are true?

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

(i)

{c,d}
(ii)

{e,b,a}
(iii)

{c,d,a}
(iv)

{b,a}
(v)

{a,d}

Question 16

16.

Which of the following are true?

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

(i)

{e,a,b}
(ii)

{a,b}
(iii)

{d,c,b}
(iv)

{b,c}
(v)

{d,c}

Question 17

17.

Which of the following are true?

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

(i)

{a,d}
(ii)

{e,b,a}
(iii)

{b,a}
(iv)

{c,d,a}
(v)

{c,d}

Question 18

18.

Which of the following are true?

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

(i)

{a,c}
(ii)

{e,b,a}
(iii)

{d,c}
(iv)

{b,a}
(v)

{d,c,a}

Question 19

19.

Which of the following are true?

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

(i)

{b,a}
(ii)

{d,c}
(iii)

{d,c,a}
(iv)

{e,b,a}
(v)

{a,c}

Question 20

20.

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

(i)

parallelogram
(ii)

square
(iii)

rhombus
(iv)

trapezium
(v)

rectangle

Question 21

21.

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

(i)

square
(ii)

rhombus
(iii)

parallelogram
(iv)

trapezium
(v)

rectangle

Question 22

22.

Name all quadrilaterals whose diagonals are equal

(i)

square,rectangle
(ii)

square,parallelogram
(iii)

square,rhombus
(iv)

square,kite
(v)

parallelogram,square,rhombus,rectangle

Question 23

23.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,kite
(ii)

square,parallelogram
(iii)

square,rhombus
(iv)

rectangle,rhombus
(v)

parallelogram,square,rhombus,rectangle

Question 24

24.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,parallelogram
(ii)

square,kite
(iii)

square,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rectangle

Question 25

25.

Name all quadrilaterals whose opposite sides are equal

(i)

square,parallelogram
(ii)

square,rhombus
(iii)

rectangle,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rectangle

Question 26

26.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,kite
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,parallelogram
(v)

square,rectangle

Question 27

27.

Name all quadrilaterals whose all sides are equal

(i)

square,parallelogram
(ii)

square,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,kite
(v)

rectangle,rhombus

Question 28

28.

Name all quadrilaterals whose all angles are right angles

(i)

square,kite
(ii)

square,parallelogram
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rectangle
(v)

square,rhombus

Question 29

29.

Name all quadrilaterals whose opposite angles are equal

(i)

square,parallelogram
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,kite
(iv)

square,rectangle
(v)

rectangle,rhombus

Question 30

30.

Name all quadrilaterals whose all angles are equal

(i)

square,parallelogram
(ii)

square,rectangle
(iii)

square,rhombus
(iv)

square,kite
(v)

parallelogram,square,rhombus,rectangle

Question 31

31.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

square,parallelogram
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rectangle
(v)

square,kite

Question 32

32.

Which of the following statements are true?

a)	In a parallelogram, adjacent angles are supplementary
b)	In a parallelogram, both adjacent angles can be acute
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)

{b,a}
(ii)

{a,d}
(iii)

{e,b,a}
(iv)

{c,d,a}
(v)

{c,d}

Question 33

33.

Which of the following properties apply for a parallelogram ?

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

(i)

{a,e,d}
(ii)

{a,b}
(iii)

{e,c}
(iv)

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

{a,f,b}

Question 34

34.

Which of the following properties apply for a trapezium ?

(i)

Diagonals are equal
(ii)

One pair of opposite sides are parallel
(iii)

Diagonals are perpendicular to each other
(iv)

Adjacent angles are supplementary
(v)

Diagonals bisect each other

Question 35

35.

Which of the following properties apply for a kite ?

(i)

Diagonals are perpendicular
(ii)

Diagonals are equal
(iii)

Opposite sides are equal
(iv)

Opposite sides are parallel
(v)

All Adjacent sides are equal

Question 36

36.

Which of the following properties apply for a rhombus ?

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

(i)

{e,b}
(ii)

{c,a}
(iii)

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

{c,f,g}
(v)

{c,e,d}

Question 37

37.

Which of the following properties apply for a rectangle ?

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

(i)

{b,d}
(ii)

{b,a}
(iii)

{b,c}
(iv)

{b,e,f}
(v)

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

Question 38

38.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{b,e,d}
(iii)

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

{b,f,g}
(v)

{e,c}

Question 39

39.

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 40

40.

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

(i)

rectangle
(ii)

square
(iii)

rhombus
(iv)

parallelogram

Question 41

41.

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

(i)

rhombus
(ii)

parallelogram
(iii)

square
(iv)

rectangle

Assignment Key