EduSahara™ Worksheet

Question 1

1.

The diagonals are equal in a

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

(i)

{d,c}
(ii)

{d,c,a}
(iii)

{e,b,a}
(iv)

{a,c}
(v)

{b,a}

Question 2

2.

Sum of the interior angles in a quadrilateral is

(i)

390°
(ii)

370°
(iii)

360°
(iv)

365°
(v)

375°

Question 3

3.

How many diagonals does a quadrilateral have?

(i)

1
(ii)

4
(iii)

2
(iv)

3
(v)

0

Question 4

4.

Which of the following are true?

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

(i)

{d,a,b}
(ii)

{c,e,b}
(iii)

{a,b}
(iv)

{b,e}
(v)

{c,e}

Question 5

5.

Which of the following are true?

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

(i)

{d,a,c}
(ii)

{b,e}
(iii)

{b,e,c}
(iv)

{a,c}
(v)

{c,e}

Question 6

6.

Which of the following are true?

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

(i)

{a,e}
(ii)

{b,a}
(iii)

{c,e,a}
(iv)

{d,b,a}
(v)

{c,e}

Question 7

7.

Which of the following are true?

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

(i)

{e,a,c}
(ii)

{b,d,c}
(iii)

{b,d}
(iv)

{c,d}
(v)

{a,c}

Question 8

8.

Which of the following are true?

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

(i)

{b,d}
(ii)

{b,d,c}
(iii)

{c,d}
(iv)

{e,a,c}
(v)

{a,c}

Question 9

9.

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

(i)

parallelogram
(ii)

rectangle
(iii)

square
(iv)

trapezium
(v)

rhombus

Question 10

10.

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

(i)

rectangle
(ii)

rhombus
(iii)

square
(iv)

trapezium
(v)

parallelogram

Question 11

11.

Name all quadrilaterals whose diagonals are equal

(i)

square,kite
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rectangle
(iv)

square,rhombus
(v)

rectangle,rhombus

Question 12

12.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,parallelogram
(ii)

square,kite
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rhombus
(v)

square,rectangle

Question 13

13.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,kite
(ii)

square,rhombus
(iii)

square,rectangle
(iv)

rectangle,rhombus
(v)

square,parallelogram

Question 14

14.

Name all quadrilaterals whose opposite sides are equal

(i)

rectangle,rhombus
(ii)

square,rhombus
(iii)

square,parallelogram
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,kite

Question 15

15.

Name all quadrilaterals whose opposite sides are parallel

(i)

parallelogram,square,rhombus,rectangle
(ii)

rectangle,rhombus
(iii)

square,rhombus
(iv)

square,parallelogram
(v)

square,rectangle

Question 16

16.

Name all quadrilaterals whose all sides are equal

(i)

rectangle,rhombus
(ii)

square,rectangle
(iii)

square,parallelogram
(iv)

square,rhombus
(v)

square,kite

Question 17

17.

Name all quadrilaterals whose all angles are right angles

(i)

rectangle,rhombus
(ii)

square,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,kite
(v)

square,rectangle

Question 18

18.

Name all quadrilaterals whose opposite angles are equal

(i)

rectangle,rhombus
(ii)

square,rhombus
(iii)

square,parallelogram
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rectangle

Question 19

19.

Name all quadrilaterals whose all angles are equal

(i)

rectangle,rhombus
(ii)

square,rectangle
(iii)

square,parallelogram
(iv)

square,kite
(v)

parallelogram,square,rhombus,rectangle

Question 20

20.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

square,parallelogram
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rhombus
(iv)

rectangle,rhombus
(v)

square,rectangle

Question 21

21.

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

(i)

rectangle
(ii)

square
(iii)

parallelogram
(iv)

trapezium
(v)

rhombus

Question 22

22.

Which of the following statements are true?

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

(i)

{d,a,c}
(ii)

{c,e}
(iii)

{a,c}
(iv)

{b,e,c}
(v)

{b,e}

Question 23

23.

If ABCD is an isosceles trapezium, ∠A =

(i)

∠C
(ii)

∠D
(iii)

∠B
(iv)

90°

Question 24

24.

In which of the following are the diagonals equal ?

(i)

rectangle
(ii)

parallelogram
(iii)

rhombus
(iv)

None of these
(v)

trapezium

Question 25

25.

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

(i)

parallelogram
(ii)

rectangle
(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)

rhombus
(ii)

rectangle
(iii)

square
(iv)

trapezium
(v)

None of these

Question 27

27.

PQRS is a rhombus in which ∠P = 120° .

QS

is the diagonal. Then △PQR is

(i)

a scalene triangle
(ii)

an isosceles triangle
(iii)

None of these
(iv)

an obtuse angled triangle
(v)

an equilateral triangle

Question 28

28.

GHIJ is a rhombus in which ∠G = 130° .

HJ

is the diagonal. Then △GHI is

(i)

None of these
(ii)

an obtuse angled triangle
(iii)

an isosceles triangle
(iv)

a scalene triangle
(v)

an equilateral triangle

Question 29

29.

Which of the following statements are true?

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

(i)

{c,d,e}
(ii)

{a,c}
(iii)

{a,b,e}
(iv)

{b,d}
(v)

{a,c,d}

Question 30

30.

Which of the following have point symmetry ?

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

(i)

{a,f,b}
(ii)

{a,b}
(iii)

{a,e,d}
(iv)

{e,c}
(v)

{b,c,d,f}

Question 31

31.

Which of the following statements are true?

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

(i)

{g,c,e}
(ii)

{d,b}
(iii)

{c,a}
(iv)

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

{d,f,a}

Question 32

32.

Which of the following statements are true?

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

(i)

{d,c}
(ii)

{a,c}
(iii)

{e,b,a}
(iv)

{b,a}
(v)

{d,c,a}

Question 33

33.

Which of the following properties apply for a parallelogram ?

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

(i)

{f,b}
(ii)

{d,a}
(iii)

{d,f,c}
(iv)

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

{d,e,a}

Question 34

34.

Which of the following properties apply for a trapezium ?

(i)

Both adjacent angles are obtuse
(ii)

Diagonals are equal
(iii)

Adjacent angles are supplementary
(iv)

Diagonals are perpendicular to each other
(v)

One pair of opposite sides are parallel

Question 35

35.

Which of the following properties apply for a kite ?

(i)

Opposite angles are parallel
(ii)

Opposite sides are equal
(iii)

Opposite sides are parallel
(iv)

Diagonals are perpendicular
(v)

All Adjacent sides are equal

Question 36

36.

Which of the following properties apply for a rhombus ?

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

(i)

{d,a}
(ii)

{d,f,c}
(iii)

{f,b}
(iv)

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

{d,e,g}

Question 37

37.

Which of the following properties apply for a rectangle ?

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

(i)

{a,d}
(ii)

{a,c}
(iii)

{a,e,f}
(iv)

{a,b}
(v)

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

Question 38

38.

Which of the following statements are true?

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

(i)

{a,c,e}
(ii)

{a,b}
(iii)

{b,d,e,f,g}
(iv)

{a,f,g}
(v)

{c,d}

Assignment Key