EduSahara™ Worksheet

Question 1

1.

The diagonals are equal in a

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

(i)

{b,e}
(ii)

{a,c}
(iii)

{c,e}
(iv)

{d,a,c}
(v)

{b,e,c}

Question 2

2.

Sum of the interior angles in a quadrilateral is

(i)

360°
(ii)

365°
(iii)

390°
(iv)

375°
(v)

370°

Question 3

3.

How many diagonals does a quadrilateral have?

(i)

2
(ii)

4
(iii)

1
(iv)

0
(v)

3

Question 4

4.

Which of the following are true?

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

(i)

{a,d}
(ii)

{c,d,a}
(iii)

{e,b,a}
(iv)

{b,a}
(v)

{c,d}

Question 5

5.

Which of the following are true?

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

(i)

{d,a,c}
(ii)

{c,e}
(iii)

{a,c}
(iv)

{b,e}
(v)

{b,e,c}

Question 6

6.

Which of the following are true?

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

(i)

{c,d,b}
(ii)

{e,a,b}
(iii)

{a,b}
(iv)

{b,d}
(v)

{c,d}

Question 7

7.

Which of the following are true?

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

(i)

{e,b,a}
(ii)

{d,c,a}
(iii)

{a,c}
(iv)

{b,a}
(v)

{d,c}

Question 8

8.

Which of the following are true?

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

(i)

{c,d,b}
(ii)

{c,d}
(iii)

{e,a,b}
(iv)

{a,b}
(v)

{b,d}

Question 9

9.

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

(i)

rhombus
(ii)

square
(iii)

parallelogram
(iv)

trapezium
(v)

rectangle

Question 10

10.

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

(i)

rectangle
(ii)

trapezium
(iii)

rhombus
(iv)

parallelogram
(v)

square

Question 11

11.

Name all quadrilaterals whose diagonals are equal

(i)

rectangle,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rhombus
(iv)

square,kite
(v)

square,rectangle

Question 12

12.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,parallelogram
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,kite
(iv)

square,rectangle
(v)

rectangle,rhombus

Question 13

13.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,rectangle
(iii)

square,kite
(iv)

rectangle,rhombus
(v)

square,rhombus

Question 14

14.

Name all quadrilaterals whose opposite sides are equal

(i)

square,kite
(ii)

square,rectangle
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rhombus
(v)

rectangle,rhombus

Question 15

15.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,kite
(ii)

square,rhombus
(iii)

rectangle,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rectangle

Question 16

16.

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 17

17.

Name all quadrilaterals whose all angles are right angles

(i)

square,parallelogram
(ii)

square,rectangle
(iii)

square,kite
(iv)

square,rhombus
(v)

rectangle,rhombus

Question 18

18.

Name all quadrilaterals whose opposite angles are equal

(i)

square,rectangle
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,parallelogram
(iv)

square,rhombus
(v)

square,kite

Question 19

19.

Name all quadrilaterals whose all angles are equal

(i)

square,rhombus
(ii)

square,parallelogram
(iii)

square,kite
(iv)

square,rectangle
(v)

rectangle,rhombus

Question 20

20.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

square,parallelogram
(ii)

square,kite
(iii)

rectangle,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rectangle

Question 21

21.

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

(i)

trapezium
(ii)

rhombus
(iii)

square
(iv)

parallelogram
(v)

rectangle

Question 22

22.

Which of the following statements are true?

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

(i)

{a,b}
(ii)

{e,a,b}
(iii)

{d,c,b}
(iv)

{b,c}
(v)

{d,c}

Question 23

23.

If ABCD is an isosceles trapezium, ∠D =

(i)

90°
(ii)

∠A
(iii)

∠B
(iv)

∠C

Question 24

24.

In which of the following are the diagonals equal ?

(i)

None of these
(ii)

parallelogram
(iii)

rhombus
(iv)

trapezium
(v)

rectangle

Question 25

25.

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

(i)

rectangle
(ii)

parallelogram
(iii)

None of these
(iv)

trapezium
(v)

square

Question 26

26.

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

(i)

trapezium
(ii)

None of these
(iii)

rhombus
(iv)

square
(v)

rectangle

Question 27

27.

ABCD is a rhombus in which ∠A = 120° .

BD

is the diagonal. Then △ABC is

(i)

an equilateral triangle
(ii)

an isosceles triangle
(iii)

an obtuse angled triangle
(iv)

None of these
(v)

a scalene triangle

Question 28

28.

NOPQ is a rhombus in which ∠N = 97° .

OQ

is the diagonal. Then △NOP is

(i)

None of these
(ii)

an isosceles triangle
(iii)

an equilateral triangle
(iv)

an obtuse angled triangle
(v)

a scalene triangle

Question 29

29.

Which of the following statements are true?

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

(i)

{a,b,e}
(ii)

{c,d,e}
(iii)

{c,a,b}
(iv)

{c,a}
(v)

{d,b}

Question 30

30.

Which of the following have point symmetry ?

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

(i)

{b,c,e}
(ii)

{b,f,a}
(iii)

{c,d}
(iv)

{b,a}
(v)

{a,d,e,f}

Question 31

31.

Which of the following statements are true?

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

(i)

{c,f,b}
(ii)

{a,b}
(iii)

{g,a,e}
(iv)

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

{c,d}

Question 32

32.

Which of the following statements are true?

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

(i)

{a,d}
(ii)

{b,e}
(iii)

{b,e,d}
(iv)

{c,a,d}
(v)

{d,e}

Question 33

33.

Which of the following properties apply for a parallelogram ?

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

(i)

{d,f,c}
(ii)

{d,a}
(iii)

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

{d,e,a}
(v)

{f,b}

Question 34

34.

Which of the following properties apply for a trapezium ?

(i)

Diagonals bisect each other
(ii)

Diagonals are equal
(iii)

One pair of opposite sides are parallel
(iv)

Diagonals are perpendicular to each other
(v)

Both adjacent angles are obtuse

Question 35

35.

Which of the following properties apply for a kite ?

(i)

Adjacent angles are equal
(ii)

Opposite sides are parallel
(iii)

Opposite sides are equal
(iv)

Diagonals are perpendicular
(v)

Diagonals are equal

Question 36

36.

Which of the following properties apply for a rhombus ?

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

(i)

{b,a}
(ii)

{d,c}
(iii)

{b,d,e}
(iv)

{b,f,g}
(v)

{a,c,e,f,g}

Question 37

37.

Which of the following properties apply for a rectangle ?

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

(i)

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

{f,b}
(iii)

{f,d,e}
(iv)

{f,a}
(v)

{f,c}

Question 38

38.

Which of the following statements are true?

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

(i)

{d,a}
(ii)

{d,g,c}
(iii)

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

{d,e,f}
(v)

{g,b}

Assignment Key