EduSahara™ Assignment
Name : Basic Proportionality Theorem
Chapter : Similar Triangles
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
In the given figure,
JK
∥
HI
.
If
GJ
JH
=
3
2
and
GI
=
12.9 cm
, find
GK
(i)
5.74 cm
(ii)
9.74 cm
(iii)
8.74 cm
(iv)
6.74 cm
(v)
7.74 cm
Question
2
2.
In the given figure,
QR
∥
OP
.
If
NQ
=
6.63 cm
,
NO
=
11.6 cm
and
NP
=
12.4 cm
, find
NR
(i)
5.09 cm
(ii)
8.09 cm
(iii)
9.09 cm
(iv)
7.09 cm
(v)
6.09 cm
Question
3
3.
In the given figure, QR ∥ HI and GR = 14.4 cm, QR = 15 cm and HI = 25 cm, find GI
(i)
25.0 cm
(ii)
22.0 cm
(iii)
26.0 cm
(iv)
24.0 cm
(v)
23.0 cm
Question
4
4.
In the given figure, ST ∥ GH , and median FI bisects ST.
If FG = 17 cm, FI = 16.9 cm and FS = 6.38 cm, SG =
(i)
12.62 cm
(ii)
9.62 cm
(iii)
8.62 cm
(iv)
10.62 cm
(v)
11.62 cm
Question
5
5.
In the given figure, QR ∥ FG , and median EH bisects QR.
If EH = 17.4 cm, EG = 20 cm and EI = 8.7 cm, IH =
(i)
8.70 cm
(ii)
10.70 cm
(iii)
9.70 cm
(iv)
7.70 cm
(v)
6.70 cm
Question
6
6.
In the given figure, G and H are points on the sides DE and DF respectively of △DEF.For which of the following cases, GH ∥ EF
a)
DE = 18 cm, GE = 9.82 cm, DF = 16 cm and DH = 7.27 cm
b)
DG = 8.18 cm, GE = 9.82 cm, DH = 7.27 cm and HF = 8.73 cm
c)
DE = 18 cm, DG = 10.18 cm, DF = 16 cm and HF = 8.73 cm
d)
DE = 18 cm, GE = 9.82 cm, DH = 9.27 cm and DF = 16 cm
(i)
{d,b}
(ii)
{c,d,a}
(iii)
{c,b,a}
(iv)
{c,a}
(v)
{a,b}
Question
7
7.
In the given △IJK, LM ∥ JK. If IL : LJ = 8.5 cm : 8.5 cm and IK = 17 cm, MK =
(i)
9.50 cm
(ii)
6.50 cm
(iii)
7.50 cm
(iv)
8.50 cm
(v)
10.50 cm
Question
8
8.
In the given figure, △ABC, ST ∥ BC such that
area of
△AST
= area of
STCB
. Find
AS
AB
(i)
1
2
√
4
(ii)
1
2
√
2
(iii)
1
2
4
√
2
(iv)
1
(v)
1
2
√
-1
Question
9
9.
In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 26 cm and AP = 10 cm. Find PB
(i)
14.00 cm
(ii)
16.00 cm
(iii)
15.00 cm
(iv)
17.00 cm
(v)
18.00 cm
Question
10
10.
From the given figure and values, find x
(i)
(
17
,
(
-1
4
)
)
(ii)
(
18
,
(
-1
2
)
)
(iii)
(
3
2
,
18
)
(iv)
(
16
,
-1
)
(v)
(
16
,
(
-1
2
)
)
Question
11
11.
If the measures are as shown in the given figure, find DE
(i)
24.0 cm
(ii)
25.0 cm
(iii)
21.0 cm
(iv)
23.0 cm
(v)
22.0 cm
Assignment Key
1) (v)
2) (iv)
3) (iv)
4) (iv)
5) (i)
6) (v)
7) (iv)
8) (ii)
9) (ii)
10) (v)
11) (iv)
