EduSahara™ Worksheet

Question 1

1.

The diagonals are equal in a

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

(i)

{a,b}
(ii)

{b,e}
(iii)

{c,e,b}
(iv)

{c,e}
(v)

{d,a,b}

Question 2

2.

Sum of the interior angles in a quadrilateral is

(i)

365°
(ii)

375°
(iii)

360°
(iv)

370°
(v)

390°

Question 3

3.

How many diagonals does a quadrilateral have?

(i)

0
(ii)

1
(iii)

4
(iv)

2
(v)

3

Question 4

4.

Which of the following are true?

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

(i)

{a,d}
(ii)

{b,e}
(iii)

{c,a,d}
(iv)

{d,e}
(v)

{b,e,d}

Question 5

5.

Which of the following are true?

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

(i)

{b,e}
(ii)

{d,a,c}
(iii)

{a,c}
(iv)

{c,e}
(v)

{b,e,c}

Question 6

6.

Which of the following are true?

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

(i)

{d,a,b}
(ii)

{b,e}
(iii)

{c,e}
(iv)

{a,b}
(v)

{c,e,b}

Question 7

7.

Which of the following are true?

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

(i)

{a,b}
(ii)

{d,c,b}
(iii)

{d,c}
(iv)

{b,c}
(v)

{e,a,b}

Question 8

8.

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 square is a rectangle
e)	A rectangle is a rhombus

(i)

{a,b}
(ii)

{c,d,b}
(iii)

{c,d}
(iv)

{b,d}
(v)

{e,a,b}

Question 9

9.

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

(i)

parallelogram
(ii)

rhombus
(iii)

square
(iv)

trapezium
(v)

rectangle

Question 10

10.

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

(i)

rhombus
(ii)

trapezium
(iii)

parallelogram
(iv)

square
(v)

rectangle

Question 11

11.

Name all quadrilaterals whose diagonals are equal

(i)

square,kite
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,parallelogram
(iv)

square,rhombus
(v)

square,rectangle

Question 12

12.

Name all quadrilaterals whose diagonals bisect each other

(i)

rectangle,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,kite
(iv)

square,parallelogram
(v)

square,rhombus

Question 13

13.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rectangle
(iv)

rectangle,rhombus
(v)

square,parallelogram

Question 14

14.

Name all quadrilaterals whose opposite sides are equal

(i)

square,parallelogram
(ii)

square,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

rectangle,rhombus
(v)

square,rectangle

Question 15

15.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,parallelogram
(ii)

square,kite
(iii)

square,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rectangle

Question 16

16.

Name all quadrilaterals whose all sides are equal

(i)

square,kite
(ii)

rectangle,rhombus
(iii)

square,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rectangle

Question 17

17.

Name all quadrilaterals whose all angles are right angles

(i)

square,rhombus
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,parallelogram
(v)

square,rectangle

Question 18

18.

Name all quadrilaterals whose opposite angles are equal

(i)

square,parallelogram
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rectangle
(iv)

rectangle,rhombus
(v)

square,rhombus

Question 19

19.

Name all quadrilaterals whose all angles are equal

(i)

square,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

rectangle,rhombus
(iv)

square,kite
(v)

square,rectangle

Question 20

20.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

square,rectangle
(ii)

square,parallelogram
(iii)

square,rhombus
(iv)

rectangle,rhombus
(v)

parallelogram,square,rhombus,rectangle

Question 21

21.

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

(i)

rhombus
(ii)

square
(iii)

parallelogram
(iv)

rectangle
(v)

trapezium

Question 22

22.

Which of the following statements are true?

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

(i)

{b,e}
(ii)

{a,c}
(iii)

{c,e}
(iv)

{d,a,c}
(v)

{b,e,c}

Question 23

23.

If ABCD is an isosceles trapezium, ∠D =

(i)

∠C
(ii)

∠B
(iii)

90°
(iv)

∠A

Question 24

24.

In which of the following are the diagonals equal ?

(i)

rectangle
(ii)

None of these
(iii)

parallelogram
(iv)

rhombus
(v)

trapezium

Question 25

25.

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

(i)

square
(ii)

trapezium
(iii)

parallelogram
(iv)

None of these
(v)

rectangle

Question 26

26.

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

(i)

rectangle
(ii)

trapezium
(iii)

None of these
(iv)

square
(v)

rhombus

Question 27

27.

NOPQ is a rhombus in which ∠N = 120° .

OQ

is the diagonal. Then △NOP is

(i)

an isosceles triangle
(ii)

an obtuse angled triangle
(iii)

an equilateral triangle
(iv)

None of these
(v)

a scalene triangle

Question 28

28.

ABCD is a rhombus in which ∠A = 92° .

BD

is the diagonal. Then △ABC is

(i)

an obtuse angled triangle
(ii)

an isosceles triangle
(iii)

an equilateral triangle
(iv)

a scalene triangle
(v)

None of these

Question 29

29.

Which of the following statements are true?

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

(i)

{d,e,c}
(ii)

{d,a}
(iii)

{e,b}
(iv)

{a,b,c}
(v)

{d,a,b}

Question 30

30.

Which of the following have point symmetry ?

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

(i)

{b,f,a}
(ii)

{e,c}
(iii)

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

{b,a}
(v)

{b,e,d}

Question 31

31.

Which of the following statements are true?

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

(i)

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

{c,f,a}
(iii)

{g,b,e}
(iv)

{c,d}
(v)

{b,a}

Question 32

32.

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, both adjacent angles can be acute
e)	In a parallelogram, adjacent angles are complementary

(i)

{a,b}
(ii)

{d,b}
(iii)

{e,c,a}
(iv)

{d,b,a}
(v)

{c,a}

Question 33

33.

Which of the following properties apply for a parallelogram ?

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

(i)

{f,c}
(ii)

{b,a}
(iii)

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

{b,f,d}
(v)

{b,e,a}

Question 34

34.

Which of the following properties apply for a trapezium ?

(i)

Adjacent angles are supplementary
(ii)

Diagonals are equal
(iii)

One pair of opposite sides are parallel
(iv)

Both adjacent angles are obtuse
(v)

Diagonals bisect each other

Question 35

35.

Which of the following properties apply for a kite ?

(i)

Diagonals are perpendicular
(ii)

Opposite sides are equal
(iii)

Adjacent angles are equal
(iv)

Opposite sides are parallel
(v)

Opposite angles are parallel

Question 36

36.

Which of the following properties apply for a rhombus ?

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

(i)

{g,c}
(ii)

{a,b}
(iii)

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

{a,e,f}
(v)

{a,g,d}

Question 37

37.

Which of the following properties apply for a rectangle ?

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

(i)

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

{a,c}
(iii)

{a,d}
(iv)

{a,b}
(v)

{a,e,f}

Question 38

38.

Which of the following statements are true?

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

(i)

{d,a}
(ii)

{d,g,c}
(iii)

{d,e,f}
(iv)

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

{g,b}

Assignment Key