EduSahara™ Assignment
Name : Basic Proportionality Theorem
Chapter : Similar Triangles
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
In the given figure,
LM
∥
JK
.
If
IL
LJ
=
1
2
and
IK
=
13.8 cm
, find
IM
(i)
5.60 cm
(ii)
6.60 cm
(iii)
3.60 cm
(iv)
4.60 cm
(v)
2.60 cm
Question
2
2.
In the given figure,
GH
∥
EF
.
If
DG
=
7.11 cm
,
DE
=
12.8 cm
and
DF
=
12.9 cm
, find
DH
(i)
5.17 cm
(ii)
8.17 cm
(iii)
6.17 cm
(iv)
9.17 cm
(v)
7.17 cm
Question
3
3.
In the given figure, ST ∥ FG and ET = 12.6 cm, EG = 21 cm and ST = 12.6 cm, find FG
(i)
19.0 cm
(ii)
22.0 cm
(iii)
21.0 cm
(iv)
23.0 cm
(v)
20.0 cm
Question
4
4.
In the given figure, TU ∥ FG , and median EH bisects TU.
If EF = 18 cm, EH = 18 cm and ET = 9 cm, IH =
(i)
10.00 cm
(ii)
9.00 cm
(iii)
8.00 cm
(iv)
11.00 cm
(v)
7.00 cm
Question
5
5.
In the given figure, RS ∥ HI , and median GJ bisects RS.
If GI = 16 cm, GK = 4.95 cm and GS = 6 cm, GJ =
(i)
14.20 cm
(ii)
15.20 cm
(iii)
11.20 cm
(iv)
12.20 cm
(v)
13.20 cm
Question
6
6.
In the given figure, E and F are points on the sides BC and BD respectively of △BCD.For which of the following cases, EF ∥ CD
a)
BC = 20 cm, EC = 10 cm, BD = 18 cm and BF = 9 cm
b)
BC = 20 cm, EC = 10 cm, BF = 11 cm and BD = 18 cm
c)
BC = 20 cm, BE = 12 cm, BD = 18 cm and FD = 9 cm
d)
BE = 10 cm, EC = 10 cm, BF = 9 cm and FD = 9 cm
(i)
{a,d}
(ii)
{c,d}
(iii)
{b,c,a}
(iv)
{b,a}
(v)
{b,d,a}
Question
7
7.
In the given △JKL, MN ∥ KL. If JM : MK = 9 cm : 6 cm and JL = 15 cm, JN =
(i)
7.00 cm
(ii)
8.00 cm
(iii)
9.00 cm
(iv)
10.00 cm
(v)
11.00 cm
Question
8
8.
In the given figure, △CDE, RS ∥ DE such that
area of
△CRS
= area of
RSED
. Find
CR
CD
(i)
1
2
√
2
(ii)
1
2
4
√
2
(iii)
1
2
√
5
(iv)
1
(v)
1
2
√
1
2
Question
9
9.
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)
14.00 cm
(ii)
15.00 cm
(iii)
13.00 cm
(iv)
12.00 cm
(v)
16.00 cm
Question
10
10.
From the given figure and values, find x
(i)
(
60
,
58
)
(ii)
(
58
,
58
)
(iii)
(
60
,
60
)
(iv)
(
59
,
59
)
(v)
(
58
,
57
)
Question
11
11.
If the measures are as shown in the given figure, find GH
(i)
26.0 cm
(ii)
22.0 cm
(iii)
25.0 cm
(iv)
23.0 cm
(v)
24.0 cm
Assignment Key
1) (iv)
2) (v)
3) (iii)
4) (ii)
5) (v)
6) (i)
7) (iii)
8) (i)
9) (i)
10) (ii)
11) (v)
