EduSahara™ Assignment
Name : Basic Proportionality Theorem
Chapter : Similar Triangles
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
In the given figure,
NO
∥
LM
.
If
KN
NL
=
1
1
and
KM
=
12.4 cm
, find
KO
(i)
5.20 cm
(ii)
8.20 cm
(iii)
7.20 cm
(iv)
6.20 cm
(v)
4.20 cm
Question
2
2.
In the given figure,
LM
∥
JK
.
If
IL
=
8.74 cm
,
IJ
=
15.3 cm
and
IK
=
12.3 cm
, find
IM
(i)
8.03 cm
(ii)
5.03 cm
(iii)
6.03 cm
(iv)
7.03 cm
(v)
9.03 cm
Question
3
3.
In the given figure, ST ∥ GH and FT = 12.6 cm, FH = 21 cm and ST = 13.2 cm, find GH
(i)
23.0 cm
(ii)
21.0 cm
(iii)
20.0 cm
(iv)
22.0 cm
(v)
24.0 cm
Question
4
4.
In the given figure, RS ∥ GH , and median FI bisects RS.
If FG = 16 cm, FI = 15.9 cm and FR = 10.67 cm, JI =
(i)
3.30 cm
(ii)
6.30 cm
(iii)
4.30 cm
(iv)
5.30 cm
(v)
7.30 cm
Question
5
5.
In the given figure, RS ∥ EF , and median DG bisects RS.
If DG = 16.5 cm, DF = 18 cm and DH = 8.25 cm, SF =
(i)
8.00 cm
(ii)
7.00 cm
(iii)
9.00 cm
(iv)
11.00 cm
(v)
10.00 cm
Question
6
6.
In the given figure, J and K are points on the sides GH and GI respectively of △GHI.For which of the following cases, JK ∥ HI
a)
GH = 15 cm, GJ = 8.67 cm, GI = 17 cm and KI = 9.44 cm
b)
GH = 15 cm, JH = 8.33 cm, GK = 9.56 cm and GI = 17 cm
c)
GJ = 6.67 cm, JH = 8.33 cm, GK = 7.56 cm and KI = 9.44 cm
d)
GH = 15 cm, JH = 8.33 cm, GI = 17 cm and GK = 7.56 cm
(i)
{a,d,c}
(ii)
{a,c}
(iii)
{b,d}
(iv)
{a,b,c}
(v)
{c,d}
Question
7
7.
In the given △CDE, FG ∥ DE. If CF : FD = 10.2 cm : 6.8 cm and CE = 16 cm, GE =
(i)
6.40 cm
(ii)
8.40 cm
(iii)
7.40 cm
(iv)
4.40 cm
(v)
5.40 cm
Question
8
8.
In the given figure, △FGH, ST ∥ GH such that
area of
△FST
= area of
STHG
. Find
FS
FG
(i)
1
2
√
4
(ii)
1
(iii)
1
2
√
2
(iv)
1
2
4
√
2
(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 = 23 cm. Find AP
(i)
11.20 cm
(ii)
10.20 cm
(iii)
7.20 cm
(iv)
8.20 cm
(v)
9.20 cm
Question
10
10.
From the given figure and values, find x
(i)
(
(
-1
3
)
,
26
)
(ii)
(
28
,
2
3
)
(iii)
(
(
-1
5
)
,
27
)
(iv)
(
(
-1
3
)
,
25
)
(v)
(
1
3
,
26
)
Question
11
11.
If the measures are as shown in the given figure, find DE
(i)
20.0 cm
(ii)
23.0 cm
(iii)
22.0 cm
(iv)
24.0 cm
(v)
21.0 cm
Assignment Key
1) (iv)
2) (iv)
3) (iv)
4) (iv)
5) (iii)
6) (v)
7) (i)
8) (iii)
9) (v)
10) (i)
11) (iii)
