EduSahara™ Assignment
Name : Basic Proportionality Theorem
Chapter : Similar Triangles
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
In the given figure,
ST
∥
QR
.
If
PS
SQ
=
1
2
and
PR
=
11.8 cm
, find
PT
(i)
3.93 cm
(ii)
2.93 cm
(iii)
4.93 cm
(iv)
5.93 cm
(v)
1.93 cm
Question
2
2.
In the given figure,
MN
∥
KL
.
If
JM
=
4.43 cm
,
JK
=
13.3 cm
and
JL
=
12.1 cm
, find
JN
(i)
2.03 cm
(ii)
4.03 cm
(iii)
6.03 cm
(iv)
3.03 cm
(v)
5.03 cm
Question
3
3.
In the given figure, TU ∥ GH and FU = 13.8 cm, FH = 23 cm and GH = 25 cm, find TU
(i)
13.0 cm
(ii)
14.0 cm
(iii)
15.0 cm
(iv)
17.0 cm
(v)
16.0 cm
Question
4
4.
In the given figure, ST ∥ GH , and median FI bisects ST.
If FG = 18 cm, FI = 18.1 cm and FJ = 9.05 cm, FS =
(i)
10.00 cm
(ii)
8.00 cm
(iii)
7.00 cm
(iv)
9.00 cm
(v)
11.00 cm
Question
5
5.
In the given figure, QR ∥ HI , and median GJ bisects QR.
If GJ = 15.7 cm, GK = 7.85 cm and GR = 10 cm, GI =
(i)
21.00 cm
(ii)
22.00 cm
(iii)
20.00 cm
(iv)
19.00 cm
(v)
18.00 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 = 10.33 cm, GI = 18 cm and KI = 8 cm
b)
GH = 15 cm, JH = 6.67 cm, GI = 18 cm and GK = 10 cm
c)
GH = 15 cm, JH = 6.67 cm, GK = 12 cm and GI = 18 cm
d)
GJ = 8.33 cm, JH = 6.67 cm, GK = 10 cm and KI = 8 cm
(i)
{a,b}
(ii)
{b,d}
(iii)
{c,d}
(iv)
{a,d,b}
(v)
{a,c,b}
Question
7
7.
In the given △DEF, GH ∥ EF. If DG : GE = 8 cm : 8 cm and DF = 16 cm, HF =
(i)
10.00 cm
(ii)
6.00 cm
(iii)
7.00 cm
(iv)
9.00 cm
(v)
8.00 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
(iii)
1
2
√
1
2
(iv)
1
2
4
√
2
(v)
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)
8.20 cm
(ii)
10.20 cm
(iii)
9.20 cm
(iv)
11.20 cm
(v)
7.20 cm
Question
10
10.
From the given figure and values, find x
(i)
(
49
,
49
)
(ii)
(
47
,
46
)
(iii)
(
47
,
47
)
(iv)
(
48
,
48
)
(v)
(
50
,
47
)
Question
11
11.
If the measures are as shown in the given figure, find EF
(i)
23.0 cm
(ii)
24.0 cm
(iii)
20.0 cm
(iv)
22.0 cm
(v)
21.0 cm
Assignment Key
1) (i)
2) (ii)
3) (iii)
4) (iv)
5) (iii)
6) (ii)
7) (v)
8) (i)
9) (iii)
10) (iii)
11) (iv)
