EduSahara™ Worksheet

Question 1

1.

In the adjoining figure, PQRS is a rhombus and △TSR is an equilateral triangle. T and P are on opposite sides of RS. If ∠PQR = 75.5°, find the values of x and y .

(i)

x

=

20.25°

,

y

=

28°
(ii)

x

=

24.25°

,

y

=

32°
(iii)

x

=

23.25°

,

y

=

31°
(iv)

x

=

22.25°

,

y

=

30°
(v)

x

=

21.25°

,

y

=

29°

Question 2

2.

(i)

∠KLJ
(ii)

∠ILJ
(iii)

∠KLI
(iv)

∠IML
(v)

∠IMJ

Question 3

3.

(i)

△JKL
(ii)

△NJK
(iii)

△LMJ
(iv)

△KLM

Question 4

4.

(i)

△EFI
(ii)

△GHI
(iii)

△GHE
(iv)

△FGH
(v)

△HEF

Question 5

5.

How many diagonals does a heptagon have?

(i)

15
(ii)

11
(iii)

16
(iv)

13
(v)

14

Question 6

6.

(i)

∠LKO
(ii)

∠OMN
(iii)

∠NKO
(iv)

∠NOM
(v)

∠KON

Question 7

7.

(i)

NO
(ii)

MN
(iii)

MO
(iv)

OL

Question 8

8.

(i)

△FDC
(ii)

△ECB
(iii)

△ECD
(iv)

△FCB
(v)

△FEB

Question 9

9.

(i)

HE
(ii)

HI
(iii)

EI
(iv)

GI

Question 10

10.

(i)

∠MLI
(ii)

∠MJK
(iii)

∠LMK
(iv)

∠IJM

Question 11

11.

The value of each interior angle in an n-sided regular polygon is

(i)

[
(2n - 4) x 90
n
] °
(ii)

(
360
n
) °
(iii)

(
n
360
) °
(iv)

[
(2n - 4) x 180
n
] °

Question 12

12.

(i)

∠NOP
(ii)

∠PQN
(iii)

∠PQR
(iv)

∠QNO
(v)

∠NOR

Question 13

13.

In the given parallelogram, which of the following statements are true?

a)

F
is the mid point of
BD

b)

EB

∥

CD

c)

CF
=
FB

d)

∠CFB
=
∠EFD

e)

△CEB
≅
△DEB

(i)

{c,a,b}
(ii)

{e,b}
(iii)

{c,e,d}
(iv)

{a,b,d}
(v)

{c,a}

Question 14

14.

The measures of three angles of a quadrilateral are
57.56°
,
123.82°
and
71.79°
. Find the fourth angle

(i)

136.83°
(ii)

106.83°
(iii)

121.83°
(iv)

116.83°
(v)

111.83°

Question 15

15.

The adjacent sides of the quadrilateral are

(i)

JK

&

KL

,

KL

&

LM

,

LM

&

MJ

,

MJ

&

JK

(ii)

JK

&

KL

,

KL

&

LN

,

LN

&

NJ

,

NJ

&

JK

(iii)

JK

&

KM

,

KM

&

MN

,

MN

&

NJ

,

NJ

&

JK

(iv)

JL

&

LM

,

LM

&

MK

,

MK

&

KJ

,

KJ

&

JL

(v)

JL

&

LK

,

LK

&

KM

,

KM

&

MJ

,

MJ

&

JL

Question 16

16.

(i)

GH
(ii)

FG
(iii)

HE
(iv)

FH

Question 17

17.

(i)

QR
(ii)

QN
(iii)

NR
(iv)

OR
(v)

OP

Question 18

18.

(i)

∠JKL
(ii)

∠JKN
(iii)

∠MJK
(iv)

∠LMJ

Question 19

19.

(i)

∠IFJ
(ii)

∠JFG
(iii)

∠FJI
(iv)

∠JHI

Question 20

20.

(i)

∠GKJ
(ii)

∠GHI
(iii)

∠IJH
(iv)

∠GKH
(v)

∠GJH

Question 21

21.

Identify the figure below

(i)

decagon
(ii)

nonagon
(iii)

octagon
(iv)

triangle
(v)

pentagon

Question 22

22.

Find the missing angle in the given parallelogram

(i)

75.7°
(ii)

70.7°
(iii)

95.7°
(iv)

65.7°
(v)

80.7°

Question 23

23.

(i)

DE
(ii)

EF
(iii)

FG
(iv)

DF
(v)

EG

Question 24

24.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,kite
(ii)

square,rectangle
(iii)

rectangle,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,parallelogram

Question 25

25.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

square,rectangle
(ii)

square,kite
(iii)

square,parallelogram
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rhombus

Assignment Key