EduSahara™ Worksheet

Question 1

1.

Which of the following statements are true?

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

(i)

{c,d}
(ii)

{c,d,b}
(iii)

{b,d}
(iv)

{a,b}
(v)

{e,a,b}

Question 2

2.

The sum of the interior angles of a quadrilateral is

(i)

90°
(ii)

270°
(iii)

180°
(iv)

360°

Question 3

3.

If ABCD is an isosceles trapezium, ∠C =

(i)

90°
(ii)

∠B
(iii)

∠D
(iv)

∠A

Question 4

4.

In which of the following are the diagonals equal ?

(i)

None of these
(ii)

rhombus
(iii)

rectangle
(iv)

trapezium
(v)

parallelogram

Question 5

5.

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

(i)

trapezium
(ii)

None of these
(iii)

square
(iv)

rectangle
(v)

parallelogram

Question 6

6.

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

(i)

square
(ii)

trapezium
(iii)

rhombus
(iv)

None of these
(v)

rectangle

Question 7

7.

DEFG is a rhombus in which ∠D = 120° .

EG

is the diagonal. Then △DEF is

(i)

an obtuse angled triangle
(ii)

an isosceles triangle
(iii)

a scalene triangle
(iv)

None of these
(v)

an equilateral triangle

Question 8

8.

KLMN is a rhombus in which ∠K = 127° .

LN

is the diagonal. Then △KLM is

(i)

an obtuse angled triangle
(ii)

a scalene triangle
(iii)

None of these
(iv)

an isosceles triangle
(v)

an equilateral triangle

Question 9

9.

Which of the following statements are true?

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

(i)

{b,c,e}
(ii)

{b,a,d}
(iii)

{a,d,e}
(iv)

{c,d}
(v)

{b,a}

Question 10

10.

Which of the following statements are true?

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

(i)

{b,d}
(ii)

{b,g,c}
(iii)

{a,c}
(iv)

{e,a,f}
(v)

{c,d,f,g}

Question 11

11.

Which of the following figures is a regular quadrilateral?

(i)

square
(ii)

rectangle
(iii)

trapezium
(iv)

parallelogram
(v)

rhombus

Question 12

12.

Every rhombus is a

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

(i)

{d,b}
(ii)

{d,b,a}
(iii)

{a,b}
(iv)

{c,a}
(v)

{e,c,a}

Question 13

13.

The diagonals are equal in a

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

(i)

{b,d}
(ii)

{e,a,b}
(iii)

{c,d,b}
(iv)

{c,d}
(v)

{a,b}

Question 14

14.

Sum of the interior angles in a quadrilateral is

(i)

390°
(ii)

370°
(iii)

360°
(iv)

375°
(v)

365°

Question 15

15.

How many diagonals does a quadrilateral have?

(i)

3
(ii)

4
(iii)

1
(iv)

2
(v)

0

Question 16

16.

Which of the following are true?

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

(i)

{b,a}
(ii)

{a,c}
(iii)

{e,b,a}
(iv)

{d,c}
(v)

{d,c,a}

Question 17

17.

Which of the following are true?

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

(i)

{b,e}
(ii)

{a,d}
(iii)

{b,e,d}
(iv)

{d,e}
(v)

{c,a,d}

Question 18

18.

Which of the following are true?

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

(i)

{e,a,c}
(ii)

{b,d,c}
(iii)

{b,d}
(iv)

{a,c}
(v)

{c,d}

Question 19

19.

Which of the following are true?

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

(i)

{a,c}
(ii)

{e,b,a}
(iii)

{d,c}
(iv)

{d,c,a}
(v)

{b,a}

Question 20

20.

Which of the following are true?

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

(i)

{b,c}
(ii)

{d,c,b}
(iii)

{d,c}
(iv)

{a,b}
(v)

{e,a,b}

Question 21

21.

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

(i)

rhombus
(ii)

rectangle
(iii)

trapezium
(iv)

square
(v)

parallelogram

Question 22

22.

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

(i)

rhombus
(ii)

trapezium
(iii)

rectangle
(iv)

square
(v)

parallelogram

Question 23

23.

Name all quadrilaterals whose diagonals are equal

(i)

square,rhombus
(ii)

square,rectangle
(iii)

square,kite
(iv)

square,parallelogram
(v)

rectangle,rhombus

Question 24

24.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,parallelogram
(iv)

square,kite
(v)

rectangle,rhombus

Question 25

25.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,kite
(ii)

rectangle,rhombus
(iii)

square,parallelogram
(iv)

square,rhombus
(v)

square,rectangle

Question 26

26.

Name all quadrilaterals whose opposite sides are equal

(i)

square,rectangle
(ii)

square,parallelogram
(iii)

parallelogram,square,rhombus,rectangle
(iv)

rectangle,rhombus
(v)

square,rhombus

Question 27

27.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

rectangle,rhombus
(iv)

square,kite
(v)

square,parallelogram

Question 28

28.

Name all quadrilaterals whose all sides are equal

(i)

parallelogram,square,rhombus,rectangle
(ii)

rectangle,rhombus
(iii)

square,rhombus
(iv)

square,rectangle
(v)

square,kite

Question 29

29.

Name all quadrilaterals whose all angles are right angles

(i)

square,parallelogram
(ii)

rectangle,rhombus
(iii)

square,rhombus
(iv)

square,rectangle
(v)

parallelogram,square,rhombus,rectangle

Question 30

30.

Name all quadrilaterals whose opposite angles are equal

(i)

square,kite
(ii)

parallelogram,square,rhombus,rectangle
(iii)

rectangle,rhombus
(iv)

square,parallelogram
(v)

square,rectangle

Question 31

31.

Name all quadrilaterals whose all angles are equal

(i)

square,rectangle
(ii)

square,parallelogram
(iii)

square,rhombus
(iv)

square,kite
(v)

parallelogram,square,rhombus,rectangle

Question 32

32.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

square,rhombus
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,kite

Question 33

33.

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

(i)

parallelogram
(ii)

rectangle
(iii)

rhombus
(iv)

trapezium
(v)

square

Question 34

34.

Which of the following statements are true?

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

(i)

{d,b,a}
(ii)

{d,b}
(iii)

{c,a}
(iv)

{e,c,a}
(v)

{a,b}

Question 35

35.

Which of the following properties apply for a parallelogram ?

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

(i)

{e,c}
(ii)

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

{a,e,d}
(iv)

{a,f,b}
(v)

{a,b}

Question 36

36.

Which of the following properties apply for a trapezium ?

(i)

Adjacent angles are supplementary
(ii)

Diagonals are perpendicular to each other
(iii)

One pair of opposite sides are parallel
(iv)

Diagonals bisect each other
(v)

Diagonals are equal

Question 37

37.

Which of the following properties apply for a kite ?

(i)

Diagonals are equal
(ii)

Opposite angles are parallel
(iii)

Opposite sides are equal
(iv)

Diagonals are perpendicular
(v)

Adjacent angles are equal

Question 38

38.

Which of the following properties apply for a rhombus ?

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

(i)

{e,d,g}
(ii)

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

{e,a}
(iv)

{f,b}
(v)

{e,f,c}

Question 39

39.

Which of the following properties apply for a rectangle ?

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

(i)

{f,a}
(ii)

{f,b}
(iii)

{f,c}
(iv)

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

{f,d,e}

Question 40

40.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{b,f,g}
(iii)

{c,d}
(iv)

{b,c,e}
(v)

{a,d,e,f,g}

Assignment Key