EduSahara™ Assignment
Name : Basic Proportionality Theorem
Chapter : Similar Triangles
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
In the given figure,
HI
∥
FG
.
If
EH
HF
=
5
3
and
EG
=
11.5 cm
, find
EI
(i)
7.19 cm
(ii)
9.19 cm
(iii)
6.19 cm
(iv)
8.19 cm
(v)
5.19 cm
Question
2
2.
In the given figure,
RS
∥
PQ
.
If
OR
=
6.6 cm
,
OP
=
15.4 cm
and
OQ
=
13.3 cm
, find
OS
(i)
5.70 cm
(ii)
3.70 cm
(iii)
4.70 cm
(iv)
6.70 cm
(v)
7.70 cm
Question
3
3.
In the given figure, RS ∥ CD and BS = 13.2 cm, RS = 14.4 cm and CD = 24 cm, find BD
(i)
24.0 cm
(ii)
23.0 cm
(iii)
21.0 cm
(iv)
20.0 cm
(v)
22.0 cm
Question
4
4.
In the given figure, ST ∥ IJ , and median HK bisects ST.
If HI = 20 cm, HK = 20.1 cm and HS = 12.5 cm, LK =
(i)
7.54 cm
(ii)
6.54 cm
(iii)
5.54 cm
(iv)
8.54 cm
(v)
9.54 cm
Question
5
5.
In the given figure, TU ∥ FG , and median EH bisects TU.
If EH = 17.4 cm, EG = 20 cm and EI = 7.46 cm, EU =
(i)
9.57 cm
(ii)
6.57 cm
(iii)
10.57 cm
(iv)
7.57 cm
(v)
8.57 cm
Question
6
6.
In the given figure, L and M are points on the sides IJ and IK respectively of △IJK.For which of the following cases, LM ∥ JK
a)
IL = 10.29 cm, LJ = 7.71 cm, IM = 10.86 cm and MK = 8.14 cm
b)
IJ = 18 cm, LJ = 7.71 cm, IM = 12.86 cm and IK = 19 cm
c)
IJ = 18 cm, IL = 12.29 cm, IK = 19 cm and MK = 8.14 cm
d)
IJ = 18 cm, LJ = 7.71 cm, IK = 19 cm and IM = 10.86 cm
(i)
{c,d}
(ii)
{b,a}
(iii)
{b,d,a}
(iv)
{a,d}
(v)
{b,c,a}
Question
7
7.
In the given △HIJ, KL ∥ IJ. If HK : KI = 5.62 cm : 9.38 cm and HJ = 19 cm, LJ =
(i)
11.88 cm
(ii)
12.88 cm
(iii)
10.88 cm
(iv)
9.88 cm
(v)
13.88 cm
Question
8
8.
In the given figure, △EFG, ST ∥ FG such that
area of
△EST
= area of
STGF
. Find
ES
EF
(i)
1
2
√
1
2
(ii)
1
2
√
2
(iii)
1
2
√
4
(iv)
1
(v)
1
2
4
√
2
Question
9
9.
In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 21 cm and AP = 8 cm. Find PB
(i)
12.00 cm
(ii)
15.00 cm
(iii)
14.00 cm
(iv)
11.00 cm
(v)
13.00 cm
Question
10
10.
From the given figure and values, find x
(i)
(
38
,
-6
)
(ii)
(
-8
,
35
)
(iii)
(
-8
,
36
)
(iv)
(
-5
,
36
)
(v)
(
-7
,
37
)
Question
11
11.
If the measures are as shown in the given figure, find CD
(i)
21.0 cm
(ii)
22.0 cm
(iii)
18.0 cm
(iv)
19.0 cm
(v)
20.0 cm
Assignment Key
1) (i)
2) (i)
3) (v)
4) (i)
5) (v)
6) (iv)
7) (i)
8) (ii)
9) (v)
10) (iii)
11) (v)
