EduSahara™ Worksheet

Question 1

1.

Which of the following statements are true?

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

(i)

{d,c}
(ii)

{e,b,a}
(iii)

{a,c}
(iv)

{d,c,a}
(v)

{b,a}

Question 2

2.

The sum of the interior angles of a quadrilateral is

(i)

90°
(ii)

180°
(iii)

360°
(iv)

270°

Question 3

3.

If ABCD is an isosceles trapezium, ∠D =

(i)

∠B
(ii)

∠A
(iii)

90°
(iv)

∠C

Question 4

4.

In which of the following are the diagonals equal ?

(i)

None of these
(ii)

rectangle
(iii)

rhombus
(iv)

trapezium
(v)

parallelogram

Question 5

5.

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

(i)

rectangle
(ii)

trapezium
(iii)

parallelogram
(iv)

square
(v)

None of these

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)

trapezium
(v)

rectangle

Question 7

7.

CDEF is a rhombus in which ∠C = 120° .

DF

is the diagonal. Then △CDE is

(i)

an isosceles triangle
(ii)

an obtuse angled triangle
(iii)

a scalene triangle
(iv)

an equilateral triangle
(v)

None of these

Question 8

8.

BCDE is a rhombus in which ∠B = 95° .

CE

is the diagonal. Then △BCD is

(i)

None of these
(ii)

an equilateral triangle
(iii)

an isosceles triangle
(iv)

an obtuse angled triangle
(v)

a scalene triangle

Question 9

9.

Which of the following statements are true?

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

(i)

{c,d,e}
(ii)

{a,c,d}
(iii)

{a,c}
(iv)

{a,b,e}
(v)

{b,d}

Question 10

10.

Which of the following have point symmetry ?

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

(i)

{b,d}
(ii)

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

{a,f,c}
(iv)

{a,b,e}
(v)

{a,c}

Question 11

11.

Which of the following statements are true?

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

(i)

{d,c}
(ii)

{g,b,e}
(iii)

{d,f,a}
(iv)

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

{b,a}

Question 12

12.

Every rhombus is a

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

(i)

{a,b}
(ii)

{c,a}
(iii)

{d,b}
(iv)

{d,b,a}
(v)

{e,c,a}

Question 13

13.

The diagonals are equal in a

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

(i)

{b,a}
(ii)

{e,b,a}
(iii)

{c,d,a}
(iv)

{c,d}
(v)

{a,d}

Question 14

14.

Sum of the interior angles in a quadrilateral is

(i)

360°
(ii)

375°
(iii)

370°
(iv)

365°
(v)

390°

Question 15

15.

How many diagonals does a quadrilateral have?

(i)

1
(ii)

4
(iii)

3
(iv)

2
(v)

0

Question 16

16.

Which of the following are true?

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

(i)

{c,e}
(ii)

{c,e,a}
(iii)

{d,b,a}
(iv)

{b,a}
(v)

{a,e}

Question 17

17.

Which of the following are true?

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

(i)

{b,e}
(ii)

{a,b}
(iii)

{c,e}
(iv)

{d,a,b}
(v)

{c,e,b}

Question 18

18.

Which of the following are true?

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

(i)

{b,e}
(ii)

{c,e}
(iii)

{d,a,b}
(iv)

{a,b}
(v)

{c,e,b}

Question 19

19.

Which of the following are true?

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

(i)

{b,a}
(ii)

{d,b,a}
(iii)

{c,e}
(iv)

{c,e,a}
(v)

{a,e}

Question 20

20.

Which of the following are true?

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

(i)

{c,e}
(ii)

{c,e,b}
(iii)

{d,a,b}
(iv)

{b,e}
(v)

{a,b}

Question 21

21.

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

(i)

square
(ii)

parallelogram
(iii)

rhombus
(iv)

trapezium
(v)

rectangle

Question 22

22.

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

(i)

square
(ii)

parallelogram
(iii)

rectangle
(iv)

rhombus
(v)

trapezium

Question 23

23.

Name all quadrilaterals whose diagonals are equal

(i)

rectangle,rhombus
(ii)

square,kite
(iii)

square,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rectangle

Question 24

24.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,parallelogram
(ii)

rectangle,rhombus
(iii)

square,kite
(iv)

square,rectangle
(v)

parallelogram,square,rhombus,rectangle

Question 25

25.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

rectangle,rhombus
(ii)

square,rectangle
(iii)

square,rhombus
(iv)

square,kite
(v)

square,parallelogram

Question 26

26.

Name all quadrilaterals whose opposite sides are equal

(i)

square,kite
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rhombus
(iv)

square,rectangle
(v)

rectangle,rhombus

Question 27

27.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,rectangle
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,parallelogram
(v)

square,rhombus

Question 28

28.

Name all quadrilaterals whose all sides are equal

(i)

square,kite
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rhombus
(iv)

square,parallelogram
(v)

rectangle,rhombus

Question 29

29.

Name all quadrilaterals whose all angles are right angles

(i)

square,kite
(ii)

square,rectangle
(iii)

rectangle,rhombus
(iv)

square,rhombus
(v)

square,parallelogram

Question 30

30.

Name all quadrilaterals whose opposite angles are equal

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,parallelogram
(iii)

square,rhombus
(iv)

rectangle,rhombus
(v)

square,kite

Question 31

31.

Name all quadrilaterals whose all angles are equal

(i)

square,rhombus
(ii)

square,parallelogram
(iii)

parallelogram,square,rhombus,rectangle
(iv)

rectangle,rhombus
(v)

square,rectangle

Question 32

32.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

square,rectangle
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,parallelogram
(v)

square,kite

Question 33

33.

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

(i)

rhombus
(ii)

trapezium
(iii)

parallelogram
(iv)

square
(v)

rectangle

Question 34

34.

Which of the following statements are true?

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

(i)

{a,b}
(ii)

{c,a}
(iii)

{d,b}
(iv)

{d,b,a}
(v)

{e,c,a}

Question 35

35.

Which of the following properties apply for a parallelogram ?

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

(i)

{b,a}
(ii)

{a,d,e,f}
(iii)

{b,f,a}
(iv)

{b,c,e}
(v)

{c,d}

Question 36

36.

Which of the following properties apply for a trapezium ?

(i)

Diagonals bisect each other
(ii)

Both adjacent angles are obtuse
(iii)

Diagonals are equal
(iv)

One pair of opposite sides are parallel
(v)

Diagonals are perpendicular to each other

Question 37

37.

Which of the following properties apply for a kite ?

(i)

All Adjacent sides are equal
(ii)

Diagonals are perpendicular
(iii)

Adjacent angles are equal
(iv)

Opposite sides are parallel
(v)

Opposite sides are equal

Question 38

38.

Which of the following properties apply for a rhombus ?

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

(i)

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

{d,c}
(iii)

{a,d,e}
(iv)

{a,f,g}
(v)

{a,b}

Question 39

39.

Which of the following properties apply for a rectangle ?

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

(i)

{b,c}
(ii)

{b,e,f}
(iii)

{b,d}
(iv)

{b,a}
(v)

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

Question 40

40.

Which of the following statements are true?

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

(i)

{f,c}
(ii)

{a,c,d,e,g}
(iii)

{b,f,d}
(iv)

{b,e,g}
(v)

{b,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)

rectangle
(iv)

rhombus

Question 42

42.

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

(i)

rectangle
(ii)

parallelogram
(iii)

square
(iv)

rhombus

Question 43

43.

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

(i)

parallelogram
(ii)

square
(iii)

rectangle
(iv)

rhombus

Assignment Key