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
=
5
2
and
KM
=
13.2 cm
, find
KO
(i)
10.43 cm
(ii)
9.43 cm
(iii)
11.43 cm
(iv)
7.43 cm
(v)
8.43 cm
Question
2
2.
In the given figure,
IJ
∥
GH
.
If
FI
=
5.1 cm
,
FG
=
11.9 cm
and
FH
=
14.3 cm
, find
FJ
(i)
8.13 cm
(ii)
4.13 cm
(iii)
6.13 cm
(iv)
7.13 cm
(v)
5.13 cm
Question
3
3.
In the given figure, RS ∥ GH and FR = 12 cm, RS = 13.8 cm and GH = 23 cm, find FG
(i)
18.0 cm
(ii)
20.0 cm
(iii)
21.0 cm
(iv)
22.0 cm
(v)
19.0 cm
Question
4
4.
In the given figure, PQ ∥ CD , and median BE bisects PQ.
If BC = 18 cm, BE = 17.9 cm and BP = 10.8 cm, BF =
(i)
8.74 cm
(ii)
11.74 cm
(iii)
12.74 cm
(iv)
9.74 cm
(v)
10.74 cm
Question
5
5.
In the given figure, PQ ∥ HI , and median GJ bisects PQ.
If GJ = 17.3 cm, GK = 7.69 cm and GQ = 8.89 cm, GI =
(i)
19.00 cm
(ii)
18.00 cm
(iii)
21.00 cm
(iv)
20.00 cm
(v)
22.00 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, BE = 12 cm, BD = 20 cm and FD = 10 cm
b)
BC = 20 cm, EC = 10 cm, BF = 12 cm and BD = 20 cm
c)
BE = 10 cm, EC = 10 cm, BF = 10 cm and FD = 10 cm
d)
BC = 20 cm, EC = 10 cm, BD = 20 cm and BF = 10 cm
(i)
{c,d}
(ii)
{b,d}
(iii)
{a,c}
(iv)
{a,d,c}
(v)
{a,b,c}
Question
7
7.
In the given △BCD, EF ∥ CD. If BE : EC = 7.5 cm : 7.5 cm and BD = 19 cm, BF =
(i)
8.50 cm
(ii)
11.50 cm
(iii)
7.50 cm
(iv)
9.50 cm
(v)
10.50 cm
Question
8
8.
In the given figure, △ABC, TU ∥ BC such that
area of
△ATU
= area of
TUCB
. Find
AT
AB
(i)
1
2
√
2
(ii)
1
2
4
√
2
(iii)
1
(iv)
1
2
√
4
(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 = 20 cm. Find AP
(i)
9.00 cm
(ii)
10.00 cm
(iii)
8.00 cm
(iv)
7.00 cm
(v)
6.00 cm
Question
10
10.
From the given figure and values, find x
(i)
(
34
,
34
)
(ii)
(
36
,
36
)
(iii)
(
37
,
34
)
(iv)
(
34
,
33
)
(v)
(
35
,
35
)
Question
11
11.
If the measures are as shown in the given figure, find EF
(i)
21.0 cm
(ii)
20.0 cm
(iii)
23.0 cm
(iv)
24.0 cm
(v)
22.0 cm
Assignment Key
1) (ii)
2) (iii)
3) (ii)
4) (v)
5) (iv)
6) (i)
7) (iv)
8) (i)
9) (iii)
10) (i)
11) (v)
