EduSahara™ Worksheet

Question 1

1.

Which of the following statements are true?

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

(i)

{c,e}
(ii)

{c,e,b}
(iii)

{b,e}
(iv)

{d,a,b}
(v)

{a,b}

Question 2

2.

The sum of the interior angles of a quadrilateral is

(i)

360°
(ii)

270°
(iii)

180°
(iv)

90°

Question 3

3.

If ABCD is an isosceles trapezium, ∠D =

(i)

∠B
(ii)

∠C
(iii)

∠A
(iv)

90°

Question 4

4.

In which of the following are the diagonals equal ?

(i)

parallelogram
(ii)

None of these
(iii)

rhombus
(iv)

trapezium
(v)

rectangle

Question 5

5.

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

(i)

parallelogram
(ii)

rectangle
(iii)

None of these
(iv)

trapezium
(v)

square

Question 6

6.

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

(i)

square
(ii)

rhombus
(iii)

None of these
(iv)

rectangle
(v)

trapezium

Question 7

7.

JKLM is a rhombus in which ∠J = 120° .

KM

is the diagonal. Then △JKL is

(i)

an obtuse angled triangle
(ii)

an equilateral triangle
(iii)

None of these
(iv)

an isosceles triangle
(v)

a scalene triangle

Question 8

8.

LMNO is a rhombus in which ∠L = 126° .

MO

is the diagonal. Then △LMN is

(i)

None of these
(ii)

an isosceles triangle
(iii)

an equilateral triangle
(iv)

an obtuse angled triangle
(v)

a scalene triangle

Question 9

9.

Which of the following statements are true?

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

(i)

{b,d,e}
(ii)

{a,c,e}
(iii)

{a,b}
(iv)

{a,b,d}
(v)

{c,d}

Question 10

10.

Which of the following have point symmetry ?

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

(i)

{d,c}
(ii)

{a,f,b}
(iii)

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

{a,b}
(v)

{a,d,e}

Question 11

11.

Which of the following statements are true?

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

(i)

{a,b}
(ii)

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

{e,c}
(iv)

{e,f,b}
(v)

{g,a,d}

Question 12

12.

Every rhombus is a

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

(i)

{c,e}
(ii)

{b,a}
(iii)

{a,e}
(iv)

{d,b,a}
(v)

{c,e,a}

Question 13

13.

The diagonals are equal in a

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

(i)

{b,e}
(ii)

{d,a,c}
(iii)

{c,e}
(iv)

{a,c}
(v)

{b,e,c}

Question 14

14.

Sum of the interior angles in a quadrilateral is

(i)

370°
(ii)

390°
(iii)

375°
(iv)

360°
(v)

365°

Question 15

15.

How many diagonals does a quadrilateral have?

(i)

0
(ii)

1
(iii)

4
(iv)

2
(v)

3

Question 16

16.

Which of the following are true?

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

(i)

{c,d}
(ii)

{b,d}
(iii)

{e,a,c}
(iv)

{b,d,c}
(v)

{a,c}

Question 17

17.

Which of the following are true?

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

(i)

{b,d}
(ii)

{e,a,b}
(iii)

{a,b}
(iv)

{c,d,b}
(v)

{c,d}

Question 18

18.

Which of the following are true?

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

(i)

{d,e}
(ii)

{b,e}
(iii)

{c,a,d}
(iv)

{a,d}
(v)

{b,e,d}

Question 19

19.

Which of the following are true?

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

(i)

{b,e,d}
(ii)

{b,e}
(iii)

{c,a,d}
(iv)

{d,e}
(v)

{a,d}

Question 20

20.

Which of the following are true?

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

(i)

{b,c}
(ii)

{d,c,b}
(iii)

{e,a,b}
(iv)

{a,b}
(v)

{d,c}

Question 21

21.

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

(i)

trapezium
(ii)

rhombus
(iii)

rectangle
(iv)

parallelogram
(v)

square

Question 22

22.

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

(i)

rectangle
(ii)

trapezium
(iii)

square
(iv)

parallelogram
(v)

rhombus

Question 23

23.

Name all quadrilaterals whose diagonals are equal

(i)

square,rectangle
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rhombus
(iv)

square,kite
(v)

rectangle,rhombus

Question 24

24.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,kite
(ii)

square,rectangle
(iii)

square,rhombus
(iv)

rectangle,rhombus
(v)

parallelogram,square,rhombus,rectangle

Question 25

25.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

rectangle,rhombus
(iv)

square,kite
(v)

square,parallelogram

Question 26

26.

Name all quadrilaterals whose opposite sides are equal

(i)

square,kite
(ii)

square,rhombus
(iii)

square,rectangle
(iv)

parallelogram,square,rhombus,rectangle
(v)

rectangle,rhombus

Question 27

27.

Name all quadrilaterals whose opposite sides are parallel

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

square,kite
(v)

square,rectangle

Question 28

28.

Name all quadrilaterals whose all sides are equal

(i)

square,kite
(ii)

square,rhombus
(iii)

square,rectangle
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,parallelogram

Question 29

29.

Name all quadrilaterals whose all angles are right angles

(i)

square,parallelogram
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rhombus
(iv)

square,rectangle
(v)

square,kite

Question 30

30.

Name all quadrilaterals whose opposite angles are equal

(i)

square,kite
(ii)

rectangle,rhombus
(iii)

square,rhombus
(iv)

square,rectangle
(v)

parallelogram,square,rhombus,rectangle

Question 31

31.

Name all quadrilaterals whose all angles are equal

(i)

square,kite
(ii)

square,rectangle
(iii)

square,rhombus
(iv)

rectangle,rhombus
(v)

square,parallelogram

Question 32

32.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

square,rhombus
(ii)

square,rectangle
(iii)

square,kite
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,parallelogram

Question 33

33.

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

(i)

square
(ii)

rhombus
(iii)

trapezium
(iv)

parallelogram
(v)

rectangle

Question 34

34.

Which of the following statements are true?

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

(i)

{b,d}
(ii)

{a,c}
(iii)

{e,a,c}
(iv)

{b,d,c}
(v)

{c,d}

Question 35

35.

Which of the following properties apply for a parallelogram ?

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

(i)

{d,a}
(ii)

{f,b}
(iii)

{d,f,c}
(iv)

{d,e,a}
(v)

{a,b,c,e}

Question 36

36.

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)

Adjacent angles are supplementary

Question 37

37.

Which of the following properties apply for a kite ?

(i)

Diagonals are perpendicular
(ii)

Adjacent angles are equal
(iii)

Opposite sides are equal
(iv)

Diagonals are equal
(v)

Opposite sides are parallel

Question 38

38.

Which of the following properties apply for a rhombus ?

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

(i)

{d,f,g}
(ii)

{e,b}
(iii)

{d,e,c}
(iv)

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

{d,a}

Question 39

39.

Which of the following properties apply for a rectangle ?

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

(i)

{b,a}
(ii)

{b,d}
(iii)

{b,c}
(iv)

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

{b,e,f}

Question 40

40.

Which of the following statements are true?

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

(i)

{d,f,c}
(ii)

{d,e,g}
(iii)

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

{f,b}
(v)

{d,a}

Question 41

41.

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

(i)

parallelogram
(ii)

square
(iii)

rhombus
(iv)

rectangle

Question 42

42.

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

(i)

parallelogram
(ii)

square
(iii)

rhombus
(iv)

rectangle

Question 43

43.

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

(i)

rhombus
(ii)

square
(iii)

rectangle
(iv)

parallelogram

Assignment Key