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ICSE Board Practice
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Class X
ICSE Grade IX - Mid-Point and Intercept Theorems
Question
1
1.
In the given figure, EFGH is a trapezium. I and J are mid-points of EH and FG.Given EF = 19 cm and GH = 9 cm, find IJ
14.0 cm
13.0 cm
15.0 cm
12.0 cm
16.0 cm
Question
2
2.
In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 24 cm. Find AP
8.60 cm
9.60 cm
7.60 cm
10.60 cm
11.60 cm
Question
3
3.
In the given figure, △ABC is a triangle.
D
,
E
&
F
are mid-points of
BC
,
CA
&
AB
respectively.
Given
DE = 9 cm
,
EF = 9 cm
&
FD = 10 cm
,
find the sides of the triangle.
19 cm
,
18 cm
&
20 cm
18 cm
,
17 cm
&
20 cm
16 cm
,
18 cm
&
20 cm
18 cm
,
18 cm
&
22 cm
18 cm
,
18 cm
&
20 cm
Question
4
4.
In the given figure, three lines l , m and n are such that l ∥ m ∥ n.
Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.
△FEH ∼
△DCF
△DAE
△ABH
△ACF
△FDA
Question
5
5.
In the given figure
△JKL
,
M
is the mid-point of
JK
and
MN
∥
KL
,
then
JN
=
JM
KL
2
KL
LJ
2
JK
2
Question
6
6.
In the given figure
△EFG
,
H
is the mid-point of
EF
and
HI
∥
FG
,
then
EH
=
FG
2
FG
GE
2
EF
2
EI
Question
7
7.
In the given figure
△JKL
,
M
is the mid-point of
JK
and
MN
∥
KL
,
then
MK
=
JN
LJ
JM
NL
JK
Question
8
8.
In the given figure, HIJK is a parallelogram such that T is the mid-point of HI and HI = 2KH. Find ∠KTJ
91°
92°
89°
90°
88°
Question
9
9.
In the given figure
△KLM
,
N
is the mid-point of
KL
and
NO
∥
LM
,
then
KO
=
KL
NL
KN
MK
OM
Question
10
10.
In the given figure, the area of the △MNO is x sq.cm. P,Q,R are the mid-points of the sides NO , OM and MN respectively. The area of the △PQR is
1
2
of area of △MNO
1
4
of area of △MNO
1
3
of area of △MNO
2
3
of area of △MNO
3
4
of area of △MNO
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