EduSahara™ Worksheet

Question 1

1.

The diagonals are equal in a

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

(i)

{d,c,b}
(ii)

{d,c}
(iii)

{e,a,b}
(iv)

{b,c}
(v)

{a,b}

Question 2

2.

Sum of the interior angles in a quadrilateral is

(i)

370°
(ii)

375°
(iii)

390°
(iv)

365°
(v)

360°

Question 3

3.

How many diagonals does a quadrilateral have?

(i)

2
(ii)

3
(iii)

4
(iv)

1
(v)

0

Question 4

4.

Which of the following are true?

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

(i)

{a,b}
(ii)

{e,a,b}
(iii)

{c,d,b}
(iv)

{b,d}
(v)

{c,d}

Question 5

5.

Which of the following are true?

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

(i)

{e,a,b}
(ii)

{b,d}
(iii)

{c,d,b}
(iv)

{a,b}
(v)

{c,d}

Question 6

6.

Which of the following are true?

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

(i)

{c,e,a}
(ii)

{d,b,a}
(iii)

{a,e}
(iv)

{b,a}
(v)

{c,e}

Question 7

7.

Which of the following are true?

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

(i)

{c,e,b}
(ii)

{c,e}
(iii)

{d,a,b}
(iv)

{b,e}
(v)

{a,b}

Question 8

8.

Which of the following are true?

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

(i)

{e,b,a}
(ii)

{a,d}
(iii)

{c,d,a}
(iv)

{c,d}
(v)

{b,a}

Question 9

9.

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

(i)

square
(ii)

rhombus
(iii)

rectangle
(iv)

trapezium
(v)

parallelogram

Question 10

10.

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

(i)

parallelogram
(ii)

square
(iii)

trapezium
(iv)

rhombus
(v)

rectangle

Question 11

11.

Name all quadrilaterals whose diagonals are equal

(i)

square,rectangle
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,parallelogram
(v)

square,kite

Question 12

12.

Name all quadrilaterals whose diagonals bisect each other

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,rhombus
(iii)

rectangle,rhombus
(iv)

square,parallelogram
(v)

square,rectangle

Question 13

13.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,rhombus
(ii)

rectangle,rhombus
(iii)

square,rectangle
(iv)

square,parallelogram
(v)

square,kite

Question 14

14.

Name all quadrilaterals whose opposite sides are equal

(i)

square,rectangle
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,kite
(iv)

rectangle,rhombus
(v)

square,rhombus

Question 15

15.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,parallelogram
(ii)

square,kite
(iii)

square,rhombus
(iv)

square,rectangle
(v)

parallelogram,square,rhombus,rectangle

Question 16

16.

Name all quadrilaterals whose all sides are equal

(i)

square,rectangle
(ii)

square,rhombus
(iii)

square,kite
(iv)

square,parallelogram
(v)

rectangle,rhombus

Question 17

17.

Name all quadrilaterals whose all angles are right angles

(i)

square,kite
(ii)

square,parallelogram
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rhombus
(v)

square,rectangle

Question 18

18.

Name all quadrilaterals whose opposite angles are equal

(i)

square,parallelogram
(ii)

square,rhombus
(iii)

rectangle,rhombus
(iv)

square,rectangle
(v)

parallelogram,square,rhombus,rectangle

Question 19

19.

Name all quadrilaterals whose all angles are equal

(i)

rectangle,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,parallelogram
(iv)

square,rectangle
(v)

square,kite

Question 20

20.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

rectangle,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rectangle
(iv)

square,kite
(v)

square,rhombus

Question 21

21.

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

(i)

trapezium
(ii)

square
(iii)

rectangle
(iv)

parallelogram
(v)

rhombus

Question 22

22.

Which of the following statements are true?

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

(i)

{b,e}
(ii)

{a,d}
(iii)

{c,a,d}
(iv)

{d,e}
(v)

{b,e,d}

Question 23

23.

If ABCD is an isosceles trapezium, ∠D =

(i)

∠A
(ii)

∠C
(iii)

∠B
(iv)

90°

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)

square
(iv)

trapezium
(v)

None of these

Question 26

26.

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

(i)

square
(ii)

None of these
(iii)

rhombus
(iv)

trapezium
(v)

rectangle

Question 27

27.

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

BD

is the diagonal. Then △ABC is

(i)

a scalene triangle
(ii)

an obtuse angled triangle
(iii)

an isosceles triangle
(iv)

an equilateral triangle
(v)

None of these

Question 28

28.

ABCD is a rhombus in which ∠A = 132° .

BD

is the diagonal. Then △ABC is

(i)

an obtuse angled triangle
(ii)

a scalene triangle
(iii)

None of these
(iv)

an equilateral triangle
(v)

an isosceles triangle

Question 29

29.

Which of the following statements are true?

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

(i)

{c,a,b}
(ii)

{a,b,e}
(iii)

{d,b}
(iv)

{c,a}
(v)

{c,d,e}

Question 30

30.

Which of the following have point symmetry ?

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

(i)

{b,a}
(ii)

{e,c}
(iii)

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

{b,e,d}
(v)

{b,f,a}

Question 31

31.

Which of the following statements are true?

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

(i)

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

{a,b}
(iii)

{c,d}
(iv)

{f,a,e}
(v)

{c,g,b}

Question 32

32.

Which of the following statements are true?

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

(i)

{b,e,d}
(ii)

{c,a,d}
(iii)

{d,e}
(iv)

{b,e}
(v)

{a,d}

Question 33

33.

Which of the following properties apply for a parallelogram ?

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

(i)

{a,b,e}
(ii)

{b,d}
(iii)

{a,c}
(iv)

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

{a,f,c}

Question 34

34.

Which of the following properties apply for a trapezium ?

(i)

Diagonals bisect each other
(ii)

Diagonals are equal
(iii)

Both adjacent angles are obtuse
(iv)

One pair of opposite sides are parallel
(v)

Diagonals are perpendicular to each other

Question 35

35.

Which of the following properties apply for a kite ?

(i)

Diagonals are equal
(ii)

Opposite angles are parallel
(iii)

All Adjacent sides are equal
(iv)

Diagonals are perpendicular
(v)

Opposite sides are equal

Question 36

36.

Which of the following properties apply for a rhombus ?

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

(i)

{c,e,f}
(ii)

{c,a}
(iii)

{c,g,d}
(iv)

{g,b}
(v)

{a,b,d,e,f}

Question 37

37.

Which of the following properties apply for a rectangle ?

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

(i)

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

{b,d}
(iii)

{b,c}
(iv)

{b,a}
(v)

{b,e,f}

Question 38

38.

Which of the following statements are true?

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

(i)

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

{d,f,g}
(iii)

{d,e,c}
(iv)

{e,b}
(v)

{d,a}

Assignment Key