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ICSE Grade IX - Mid-Point and Intercept Theorems
Question
1
1.
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.
∠DAF =
∠AFD
∠BHA
∠CFA
∠EHF
∠HFE
Question
2
2.
In the given figure
△ABC
,
D
is the mid-point of
AB
and
DE
∥
BC
,
then
AD
=
BC
2
AE
CA
2
BC
AB
2
Question
3
3.
In the given figure
△GHI
,
J
is the mid-point of
GH
and
JK
∥
HI
,
then
GJ
=
IG
JH
GK
GH
KI
Question
4
4.
In the given figure, the area of the △ABC is x sq.cm. D,E,F are the mid-points of the sides BC , CA and AB respectively. The area of the △DEF is
1
2
of area of △ABC
1
3
of area of △ABC
1
4
of area of △ABC
2
3
of area of △ABC
3
4
of area of △ABC
Question
5
5.
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.
∠FDA =
∠DAF
∠EHF
∠ACF
∠ABH
∠FEH
Question
6
6.
In the given figure, DEFG is a trapezium. H and I are mid-points of DG and EF.Given HI = 12.5 cm and FG = 8 cm, find DE
18.0 cm
15.0 cm
19.0 cm
17.0 cm
16.0 cm
Question
7
7.
CDEF is a quadrilateral. T, U, V and W are mid-points of CD, DE, EF and FC respectively.If CE = 31 cm and DF = 15 cm, find the measure of the sides of TUVW.
15.5 cm
,
5 cm
,
15.5 cm
,
5 cm
15.5 cm
,
6 cm
,
15.5 cm
,
6 cm
16 cm
,
7.5 cm
,
16 cm
,
7.5 cm
15.5 cm
,
7.5 cm
,
15.5 cm
,
7.5 cm
18 cm
,
7.5 cm
,
18 cm
,
7.5 cm
Question
8
8.
From the given figure and values, find x
(
9
,
(
-2
7
)
)
(
7
,
(
-2
7
)
)
(
7
,
(
-2
5
)
)
(
5
7
,
9
)
(
8
,
(
-2
9
)
)
Question
9
9.
In the given figure
△IJK
,
L
is the mid-point of
IJ
and
LM
∥
JK
,
then
IM
=
IL
JK
IJ
2
KI
2
JK
2
Question
10
10.
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.
∠HAB =
∠AFD
∠FAC
∠HFE
∠FDA
∠FEH
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