EduSahara™ Worksheet

Question 1

1.

Which of the following are true?

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

(i)

{a,d}
(ii)

{c,a,d}
(iii)

{b,e}
(iv)

{b,e,d}
(v)

{d,e}

Question 2

2.

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)

{b,e,c}
(ii)

{c,e}
(iii)

{b,e}
(iv)

{a,c}
(v)

{d,a,c}

Question 3

3.

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 rectangle is a square
e)	A rhombus is a trapezium

(i)

{d,a,c}
(ii)

{b,e}
(iii)

{b,e,c}
(iv)

{c,e}
(v)

{a,c}

Question 4

4.

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)

{a,c}
(ii)

{d,c}
(iii)

{e,b,a}
(iv)

{d,c,a}
(v)

{b,a}

Question 5

5.

Which of the following are true?

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

(i)

{b,d,c}
(ii)

{a,c}
(iii)

{b,d}
(iv)

{c,d}
(v)

{e,a,c}

Question 6

6.

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

(i)

rectangle
(ii)

rhombus
(iii)

trapezium
(iv)

parallelogram
(v)

square

Question 7

7.

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

(i)

parallelogram
(ii)

rectangle
(iii)

rhombus
(iv)

square
(v)

trapezium

Question 8

8.

Name all quadrilaterals whose diagonals are equal

(i)

square,rectangle
(ii)

square,rhombus
(iii)

square,kite
(iv)

rectangle,rhombus
(v)

square,parallelogram

Question 9

9.

Name all quadrilaterals whose diagonals bisect each other

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

square,kite
(v)

square,rectangle

Question 10

10.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,kite
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,parallelogram
(v)

square,rhombus

Question 11

11.

Name all quadrilaterals whose opposite sides are equal

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,rectangle
(iii)

square,kite
(iv)

rectangle,rhombus
(v)

square,parallelogram

Question 12

12.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,rhombus
(ii)

square,parallelogram
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rectangle
(v)

square,kite

Question 13

13.

Name all quadrilaterals whose all sides are equal

(i)

rectangle,rhombus
(ii)

square,kite
(iii)

square,parallelogram
(iv)

square,rectangle
(v)

square,rhombus

Question 14

14.

Name all quadrilaterals whose all angles are right angles

(i)

square,rectangle
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

square,rhombus
(v)

parallelogram,square,rhombus,rectangle

Question 15

15.

Name all quadrilaterals whose opposite angles are equal

(i)

square,kite
(ii)

square,rectangle
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,parallelogram
(v)

square,rhombus

Question 16

16.

Name all quadrilaterals whose all angles are equal

(i)

square,rhombus
(ii)

square,rectangle
(iii)

square,parallelogram
(iv)

square,kite
(v)

parallelogram,square,rhombus,rectangle

Question 17

17.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,parallelogram
(iii)

rectangle,rhombus
(iv)

square,rhombus
(v)

square,kite

Question 18

18.

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

(i)

square
(ii)

rhombus
(iii)

parallelogram
(iv)

trapezium
(v)

rectangle

Question 19

19.

Which of the following statements are true?

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

(i)

{c,e,b}
(ii)

{a,b}
(iii)

{b,e}
(iv)

{d,a,b}
(v)

{c,e}

Question 20

20.

The sum of the interior angles of a quadrilateral is

(i)

270°
(ii)

180°
(iii)

360°
(iv)

90°

Question 21

21.

If ABCD is an isosceles trapezium, ∠D =

(i)

∠A
(ii)

∠B
(iii)

90°
(iv)

∠C

Question 22

22.

In which of the following are the diagonals equal ?

(i)

rhombus
(ii)

parallelogram
(iii)

trapezium
(iv)

rectangle
(v)

None of these

Question 23

23.

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

(i)

trapezium
(ii)

square
(iii)

None of these
(iv)

parallelogram
(v)

rectangle

Question 24

24.

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

(i)

rhombus
(ii)

None of these
(iii)

square
(iv)

rectangle
(v)

trapezium

Question 25

25.

BCDE is a rhombus in which ∠B = 120° .

CE

is the diagonal. Then △BCD is

(i)

an equilateral triangle
(ii)

None of these
(iii)

a scalene triangle
(iv)

an obtuse angled triangle
(v)

an isosceles triangle

Question 26

26.

CDEF is a rhombus in which ∠C = 99° .

DF

is the diagonal. Then △CDE is

(i)

a scalene triangle
(ii)

an obtuse angled triangle
(iii)

an equilateral triangle
(iv)

None of these
(v)

an isosceles triangle

Question 27

27.

Which of the following statements are true?

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

(i)

{d,b}
(ii)

{a,b,e}
(iii)

{c,a,b}
(iv)

{c,d,e}
(v)

{c,a}

Question 28

28.

Which of the following statements are true?

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

(i)

{c,d}
(ii)

{c,f,a}
(iii)

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

{b,a}
(v)

{g,b,e}

Question 29

29.

Every rhombus is a

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

(i)

{c,d}
(ii)

{e,a,b}
(iii)

{c,d,b}
(iv)

{a,b}
(v)

{b,d}

Question 30

30.

The diagonals are equal in a

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

(i)

{a,c}
(ii)

{c,e}
(iii)

{b,e}
(iv)

{b,e,c}
(v)

{d,a,c}

Question 31

31.

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

(i)

{b,d}
(ii)

{a,c}
(iii)

{b,d,c}
(iv)

{c,d}
(v)

{e,a,c}

Question 32

32.

Which of the following properties apply for a parallelogram ?

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

(i)

{e,c}
(ii)

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

{a,f,b}
(iv)

{a,e,d}
(v)

{a,b}

Question 33

33.

Which of the following properties apply for a trapezium ?

(i)

One pair of opposite sides are parallel
(ii)

Diagonals are perpendicular to each other
(iii)

Adjacent angles are supplementary
(iv)

Diagonals bisect each other
(v)

Diagonals are equal

Question 34

34.

Which of the following properties apply for a kite ?

(i)

Opposite sides are parallel
(ii)

Diagonals are perpendicular
(iii)

All Adjacent sides are equal
(iv)

Opposite angles are parallel
(v)

Diagonals are equal

Question 35

35.

Which of the following properties apply for a rhombus ?

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

(i)

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

{g,b}
(iii)

{f,g,c}
(iv)

{f,a}
(v)

{f,d,e}

Question 36

36.

Which of the following properties apply for a rectangle ?

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

(i)

{d,c}
(ii)

{d,b}
(iii)

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

{d,e,f}
(v)

{d,a}

Question 37

37.

Which of the following statements are true?

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

(i)

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

{c,e,g}
(iii)

{f,b}
(iv)

{c,f,d}
(v)

{c,a}

Assignment Key