EduSahara™ Worksheet

Question 1

1.

In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 22 cm. Find AP

(i)

7.80 cm
(ii)

6.80 cm
(iii)

9.80 cm
(iv)

10.80 cm
(v)

8.80 cm

Question 2

2.

From the given figure and values, find x

(i)

(

-4

,

31

)
(ii)

(

29

,

-7

)
(iii)

(

32

,

-6

)
(iv)

(

29

,

-6

)
(v)

(

30

,

-5

)

Question 3

3.

In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 24 cm and AP = 10 cm. Find PB

(i)

16.00 cm
(ii)

12.00 cm
(iii)

14.00 cm
(iv)

13.00 cm
(v)

15.00 cm

Question 4

4.

In the given figure, points I , J and K are the mid-points of sides GH, HF and FG of △FGH. Which of the following are true?

a)

b)

c)

Area of trapezium GHJK is thrice the area of △FKJ

d)

Area of △FGH = 4 times area of △IJK

e)

All four small triangles have equal areas

(i)

{c,d,e}
(ii)

{a,c}
(iii)

{a,b,e}
(iv)

{a,c,d}
(v)

{b,d}

Question 5

5.

In the given figure
△JKL
,

(i)

KL

2
(ii)

KL
(iii)

LJ

2
(iv)

JK

2
(v)

JN

Question 6

6.

In the given figure
△JKL
,

(i)

MK
(ii)

JK
(iii)

NL
(iv)

JN
(v)

LJ

Question 7

7.

In the given figure, the area of the △DEF is x sq.cm. G,H,I are the mid-points of the sides EF , FD and DE respectively. The area of the △GHI is

(i)
1
2

of area of △DEF
(ii)
3
4

of area of △DEF
(iii)
1
3

of area of △DEF
(iv)
2
3

of area of △DEF
(v)
1
4

of area of △DEF

Question 8

8.

In the given figure
△ABC
,

(i)

EC
(ii)

AE
(iii)

CA
(iv)

AB
(v)

AD

Question 9

9.

In the given figure, ABCD is a parallelogram such that T is the mid-point of AB and AB = 2DA. Find ∠DTC

(i)

91°
(ii)

88°
(iii)

90°
(iv)

92°
(v)

89°

Question 10

10.

In the given figure
△BCD
,

(i)

DB

2
(ii)

CD
(iii)

CD

2
(iv)

BC

2
(v)

BF

Question 11

11.

In the given figure, KLMN is a trapezium. O and P are mid-points of KN and LM.Given MN = 8 cm and OP = 13.5 cm, find KL

(i)

20.0 cm
(ii)

17.0 cm
(iii)

18.0 cm
(iv)

21.0 cm
(v)

19.0 cm

Question 12

12.

In the given figure, points G , H and I are the mid-points of sides EF, FD and DE of △DEF. Which of the following are true?

a)

b)

All four small triangles have equal areas

c)

d)

Area of trapezium EFHI is thrice the area of △DIH

e)

Area of △DEF = 4 times area of △GHI

(i)

{a,c,e}
(ii)

{a,b,d}
(iii)

{c,d}
(iv)

{b,d,e}
(v)

{a,b}

Question 13

13.

In the given figure, three lines l , m and n are such that l ∥ m ∥ n.

Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.

∠ABH =

(i)

∠DAF
(ii)

∠FEH
(iii)

∠FDA
(iv)

∠EHF
(v)

∠ACF

Question 14

14.

In the given figure, three lines l , m and n are such that l ∥ m ∥ n.

Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.

∠FAC =

(i)

∠FDA
(ii)

∠HAB
(iii)

∠AFD
(iv)

∠FEH
(v)

∠HFE

Question 15

15.

In the given figure
△DEF
,

(i)

EF

2
(ii)

DE

2
(iii)

FD

2
(iv)

EF
(v)

DG

Question 16

16.

In the given figure, HIJK is a trapezium. L and M are mid-points of HK and IJ.Given JK = 9 cm and HI = 19 cm, find LM

(i)

13.0 cm
(ii)

16.0 cm
(iii)

12.0 cm
(iv)

14.0 cm
(v)

15.0 cm

Question 17

17.

DEFG is a quadrilateral. R, S, T and U are mid-points of DE, EF, FG and GD respectively.If DF = 32 cm and EG = 19 cm, find the measure of the sides of RSTU.

(i)
17 cm

,

9.5 cm

,

17 cm

,

9.5 cm
(ii)
19 cm

,

9.5 cm

,

19 cm

,

9.5 cm
(iii)
16 cm

,

6 cm

,

16 cm

,

6 cm
(iv)
16 cm

,

8 cm

,

16 cm

,

8 cm
(v)
16 cm

,

9.5 cm

,

16 cm

,

9.5 cm

Question 18

18.

In the given figure, three lines l , m and n are such that l ∥ m ∥ n.

Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.

△FDA ∼

(i)

△FEH
(ii)

△ABH
(iii)

△DAE
(iv)

△ACF
(v)

△DCF

Question 19

19.

In the given figure
△EFG
,

(i)

EH
(ii)

HF
(iii)

EI
(iv)

EF
(v)

GE

Question 20

20.

In the given figure
△IJK
,

(i)

LJ
(ii)

IM
(iii)

IL
(iv)

IJ
(v)

KI

Question 21

21.

In the given figure, △DEF is a triangle.

(i)
16 cm

,

20 cm

&

21 cm
(ii)
16 cm

,

19 cm

&

18 cm
(iii)
14 cm

,

20 cm

&

18 cm
(iv)
16 cm

,

20 cm

&

18 cm
(v)
17 cm

,

20 cm

&

18 cm

Question 22

22.

In the given figure, the area of the △HIJ is x sq.cm. K,L,M are the mid-points of the sides IJ , JH and HI respectively. The area of the △KLM is

(i)
3
4

of area of △HIJ
(ii)
1
3

of area of △HIJ
(iii)
1
2

of area of △HIJ
(iv)
2
3

of area of △HIJ
(v)
1
4

of area of △HIJ

Question 23

23.

In the given figure
△BCD
,

(i)

BE
(ii)

EC
(iii)

DB
(iv)

BC
(v)

FD

Question 24

24.

In the given figure, FGHI is a parallelogram

(i)

3.33 cm
(ii)

7.33 cm
(iii)

5.33 cm
(iv)

6.33 cm
(v)

4.33 cm

Question 25

25.

In the given figure, three lines l , m and n are such that l ∥ m ∥ n.

Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.

∠EHF =

(i)

∠CFA
(ii)

∠HFE
(iii)

∠BHA
(iv)

∠AFD
(v)

∠DAF

Assignment Key