EduSahara™ Worksheet

Question 1

1.

Which of the following statements are true?

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

(i)

{c,d}
(ii)

{c,d,a}
(iii)

{e,b,a}
(iv)

{a,d}
(v)

{b,a}

Question 2

2.

The sum of the interior angles of a quadrilateral is

(i)

270°
(ii)

90°
(iii)

180°
(iv)

360°

Question 3

3.

If ABCD is an isosceles trapezium, ∠D =

(i)

∠C
(ii)

90°
(iii)

∠B
(iv)

∠A

Question 4

4.

In which of the following are the diagonals equal ?

(i)

rhombus
(ii)

trapezium
(iii)

None of these
(iv)

parallelogram
(v)

rectangle

Question 5

5.

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

(i)

None of these
(ii)

square
(iii)

trapezium
(iv)

rectangle
(v)

parallelogram

Question 6

6.

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

(i)

rectangle
(ii)

None of these
(iii)

rhombus
(iv)

square
(v)

trapezium

Question 7

7.

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

BD

is the diagonal. Then △ABC is

(i)

a scalene triangle
(ii)

an equilateral triangle
(iii)

an isosceles triangle
(iv)

None of these
(v)

an obtuse angled triangle

Question 8

8.

CDEF is a rhombus in which ∠C = 107° .

DF

is the diagonal. Then △CDE is

(i)

an obtuse angled triangle
(ii)

an isosceles triangle
(iii)

a scalene triangle
(iv)

None of these
(v)

an equilateral triangle

Question 9

9.

Which of the following statements are true?

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

(i)

{b,d,e}
(ii)

{b,a,c}
(iii)

{b,a}
(iv)

{d,c}
(v)

{a,c,e}

Question 10

10.

Which of the following statements are true?

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

(i)

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

{e,g,a}
(iii)

{e,b}
(iv)

{f,c,d}
(v)

{c,a}

Question 11

11.

Which of the following figures is a regular quadrilateral?

(i)

square
(ii)

rectangle
(iii)

trapezium
(iv)

rhombus
(v)

parallelogram

Question 12

12.

Every rhombus is a

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

(i)

{c,e,b}
(ii)

{c,e}
(iii)

{b,e}
(iv)

{d,a,b}
(v)

{a,b}

Question 13

13.

The diagonals are equal in a

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

(i)

{d,c,b}
(ii)

{b,c}
(iii)

{d,c}
(iv)

{a,b}
(v)

{e,a,b}

Question 14

14.

Sum of the interior angles in a quadrilateral is

(i)

370°
(ii)

360°
(iii)

365°
(iv)

390°
(v)

375°

Question 15

15.

How many diagonals does a quadrilateral have?

(i)

1
(ii)

0
(iii)

2
(iv)

4
(v)

3

Question 16

16.

Which of the following are true?

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

(i)

{a,c}
(ii)

{c,e}
(iii)

{b,e,c}
(iv)

{b,e}
(v)

{d,a,c}

Question 17

17.

Which of the following are true?

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

(i)

{b,c}
(ii)

{a,b}
(iii)

{e,a,b}
(iv)

{d,c,b}
(v)

{d,c}

Question 18

18.

Which of the following are true?

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

(i)

{d,c}
(ii)

{a,b}
(iii)

{d,c,b}
(iv)

{b,c}
(v)

{e,a,b}

Question 19

19.

Which of the following are true?

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

(i)

{b,c}
(ii)

{d,c}
(iii)

{e,a,b}
(iv)

{d,c,b}
(v)

{a,b}

Question 20

20.

Which of the following are true?

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

(i)

{d,e}
(ii)

{b,e,d}
(iii)

{a,d}
(iv)

{b,e}
(v)

{c,a,d}

Question 21

21.

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

(i)

rhombus
(ii)

rectangle
(iii)

square
(iv)

parallelogram
(v)

trapezium

Question 22

22.

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

(i)

square
(ii)

rectangle
(iii)

rhombus
(iv)

parallelogram
(v)

trapezium

Question 23

23.

Name all quadrilaterals whose diagonals are equal

(i)

square,kite
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rectangle
(v)

square,parallelogram

Question 24

24.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,kite
(ii)

rectangle,rhombus
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rhombus
(v)

square,rectangle

Question 25

25.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,parallelogram
(ii)

square,kite
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,rhombus
(v)

square,rectangle

Question 26

26.

Name all quadrilaterals whose opposite sides are equal

(i)

square,rhombus
(ii)

square,rectangle
(iii)

parallelogram,square,rhombus,rectangle
(iv)

rectangle,rhombus
(v)

square,kite

Question 27

27.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,rhombus
(ii)

square,parallelogram
(iii)

square,kite
(iv)

rectangle,rhombus
(v)

parallelogram,square,rhombus,rectangle

Question 28

28.

Name all quadrilaterals whose all sides are equal

(i)

rectangle,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,parallelogram
(iv)

square,rhombus
(v)

square,kite

Question 29

29.

Name all quadrilaterals whose all angles are right angles

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,rectangle
(iii)

rectangle,rhombus
(iv)

square,parallelogram
(v)

square,rhombus

Question 30

30.

Name all quadrilaterals whose opposite angles are equal

(i)

square,rhombus
(ii)

square,parallelogram
(iii)

square,rectangle
(iv)

rectangle,rhombus
(v)

parallelogram,square,rhombus,rectangle

Question 31

31.

Name all quadrilaterals whose all angles are equal

(i)

square,parallelogram
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,kite
(iv)

square,rectangle
(v)

rectangle,rhombus

Question 32

32.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

square,rhombus
(ii)

square,kite
(iii)

square,rectangle
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,parallelogram

Question 33

33.

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

(i)

rectangle
(ii)

trapezium
(iii)

parallelogram
(iv)

square
(v)

rhombus

Question 34

34.

Which of the following statements are true?

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

(i)

{c,d,b}
(ii)

{c,d}
(iii)

{e,a,b}
(iv)

{b,d}
(v)

{a,b}

Question 35

35.

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)	Diagonals are perpendicular to each other
e)	Opposite angles are equal
f)	Opposite sides are equal

(i)

{c,f,a}
(ii)

{c,a}
(iii)

{d,b}
(iv)

{c,d,e}
(v)

{a,b,e,f}

Question 36

36.

Which of the following properties apply for a trapezium ?

(i)

Adjacent angles are supplementary
(ii)

Both adjacent angles are obtuse
(iii)

One pair of opposite sides are parallel
(iv)

Diagonals are perpendicular to each other
(v)

Diagonals are equal

Question 37

37.

Which of the following properties apply for a kite ?

(i)

Diagonals are equal
(ii)

Diagonals are perpendicular
(iii)

Opposite sides are equal
(iv)

All Adjacent sides are equal
(v)

Opposite angles are parallel

Question 38

38.

Which of the following properties apply for a rhombus ?

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

(i)

{d,e,g}
(ii)

{d,a}
(iii)

{f,b}
(iv)

{d,f,c}
(v)

{a,b,c,e,g}

Question 39

39.

Which of the following properties apply for a rectangle ?

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

(i)

{d,b}
(ii)

{d,a}
(iii)

{d,c}
(iv)

{d,e,f}
(v)

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

Question 40

40.

Which of the following statements are true?

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

(i)

{b,a}
(ii)

{b,e,d}
(iii)

{e,c}
(iv)

{a,c,d,f,g}
(v)

{b,f,g}

Assignment Key