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

(i)

{b,e,c}
(ii)

{d,a,c}
(iii)

{b,e}
(iv)

{c,e}
(v)

{a,c}

Question 2

2.

Which of the following are true?

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

(i)

{b,d}
(ii)

{e,a,b}
(iii)

{c,d}
(iv)

{c,d,b}
(v)

{a,b}

Question 3

3.

Which of the following are true?

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

(i)

{c,e}
(ii)

{b,e}
(iii)

{c,e,b}
(iv)

{d,a,b}
(v)

{a,b}

Question 4

4.

Which of the following are true?

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

(i)

{d,a,b}
(ii)

{b,e}
(iii)

{a,b}
(iv)

{c,e,b}
(v)

{c,e}

Question 5

5.

Which of the following are true?

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

(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)

square
(iii)

parallelogram
(iv)

rhombus
(v)

trapezium

Question 7

7.

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

(i)

parallelogram
(ii)

trapezium
(iii)

rhombus
(iv)

rectangle
(v)

square

Question 8

8.

Name all quadrilaterals whose diagonals are equal

(i)

square,rectangle
(ii)

square,rhombus
(iii)

square,parallelogram
(iv)

rectangle,rhombus
(v)

parallelogram,square,rhombus,rectangle

Question 9

9.

Name all quadrilaterals whose diagonals bisect each other

(i)

rectangle,rhombus
(ii)

square,parallelogram
(iii)

square,rectangle
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,kite

Question 10

10.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,rectangle
(ii)

square,rhombus
(iii)

rectangle,rhombus
(iv)

square,parallelogram
(v)

square,kite

Question 11

11.

Name all quadrilaterals whose opposite sides are equal

(i)

square,rhombus
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rectangle
(v)

square,parallelogram

Question 12

12.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,parallelogram
(ii)

square,kite
(iii)

rectangle,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rhombus

Question 13

13.

Name all quadrilaterals whose all sides are equal

(i)

rectangle,rhombus
(ii)

square,parallelogram
(iii)

square,rhombus
(iv)

square,kite
(v)

parallelogram,square,rhombus,rectangle

Question 14

14.

Name all quadrilaterals whose all angles are right angles

(i)

rectangle,rhombus
(ii)

square,parallelogram
(iii)

square,rectangle
(iv)

square,kite
(v)

square,rhombus

Question 15

15.

Name all quadrilaterals whose opposite angles are equal

(i)

rectangle,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,parallelogram
(iv)

square,kite
(v)

square,rectangle

Question 16

16.

Name all quadrilaterals whose all angles are equal

(i)

rectangle,rhombus
(ii)

square,kite
(iii)

square,rhombus
(iv)

square,parallelogram
(v)

square,rectangle

Question 17

17.

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 18

18.

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

(i)

trapezium
(ii)

square
(iii)

parallelogram
(iv)

rectangle
(v)

rhombus

Question 19

19.

Which of the following statements are true?

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

(i)

{c,d,b}
(ii)

{b,d}
(iii)

{a,b}
(iv)

{e,a,b}
(v)

{c,d}

Question 20

20.

The sum of the interior angles of a quadrilateral is

(i)

270°
(ii)

360°
(iii)

90°
(iv)

180°

Question 21

21.

If ABCD is an isosceles trapezium, ∠D =

(i)

90°
(ii)

∠B
(iii)

∠A
(iv)

∠C

Question 22

22.

In which of the following are the diagonals equal ?

(i)

None of these
(ii)

rectangle
(iii)

parallelogram
(iv)

rhombus
(v)

trapezium

Question 23

23.

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

(i)

None of these
(ii)

parallelogram
(iii)

trapezium
(iv)

square
(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)

rectangle
(iv)

square
(v)

trapezium

Question 25

25.

IJKL is a rhombus in which ∠I = 120° .

JL

is the diagonal. Then △IJK is

(i)

an isosceles triangle
(ii)

an equilateral triangle
(iii)

an obtuse angled triangle
(iv)

a scalene triangle
(v)

None of these

Question 26

26.

CDEF is a rhombus in which ∠C = 135° .

DF

is the diagonal. Then △CDE is

(i)

a scalene triangle
(ii)

an equilateral triangle
(iii)

an obtuse angled triangle
(iv)

an isosceles triangle
(v)

None of these

Question 27

27.

Which of the following statements are true?

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

(i)

{b,a,c}
(ii)

{b,d,e}
(iii)

{d,c}
(iv)

{a,c,e}
(v)

{b,a}

Question 28

28.

Which of the following statements are true?

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

(i)

{f,b,e}
(ii)

{c,g,a}
(iii)

{b,a}
(iv)

{c,d}
(v)

{a,d,e,g}

Question 29

29.

Every rhombus is a

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

(i)

{c,d,a}
(ii)

{c,d}
(iii)

{a,d}
(iv)

{e,b,a}
(v)

{b,a}

Question 30

30.

The diagonals are equal in a

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

(i)

{a,b}
(ii)

{d,c}
(iii)

{e,a,b}
(iv)

{d,c,b}
(v)

{b,c}

Question 31

31.

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 acute
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 obtuse

(i)

{d,c}
(ii)

{a,c}
(iii)

{b,a}
(iv)

{d,c,a}
(v)

{e,b,a}

Question 32

32.

Which of the following properties apply for a parallelogram ?

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

(i)

{f,b}
(ii)

{c,f,d}
(iii)

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

{c,a}
(v)

{c,e,a}

Question 33

33.

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)

Both adjacent angles are obtuse
(v)

Diagonals are perpendicular to each other

Question 34

34.

Which of the following properties apply for a kite ?

(i)

Adjacent angles are equal
(ii)

Diagonals are perpendicular
(iii)

Opposite sides are equal
(iv)

Opposite sides are parallel
(v)

Opposite angles are parallel

Question 35

35.

Which of the following properties apply for a rhombus ?

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

(i)

{a,e,f}
(ii)

{a,b}
(iii)

{g,c}
(iv)

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

{a,g,d}

Question 36

36.

Which of the following properties apply for a rectangle ?

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

(i)

{c,b}
(ii)

{c,e,f}
(iii)

{c,d}
(iv)

{c,a}
(v)

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

Question 37

37.

Which of the following statements are true?

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

(i)

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

{g,b}
(iii)

{c,e,f}
(iv)

{c,g,d}
(v)

{c,a}

Assignment Key