EduSahara™ Assignment
Name : The Midpoint Theorem of Triangle
Chapter : Quadrilaterals
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
In the given figure
△GHI
,
J
is the mid-point of
GH
and
JK
∥
HI
,
then
GK
=
(i)
IG
2
(ii)
GJ
(iii)
HI
(iv)
HI
2
(v)
GH
2
Question
2
2.
In the given figure
△IJK
,
L
is the mid-point of
IJ
and
LM
∥
JK
,
then
IL
=
(i)
JK
(ii)
IJ
2
(iii)
KI
2
(iv)
JK
2
(v)
IM
Question
3
3.
In the given figure
△BCD
,
E
is the mid-point of
BC
and
EF
∥
CD
,
then
BE
=
(i)
EC
(ii)
FD
(iii)
BC
(iv)
BF
(v)
DB
Question
4
4.
In the given figure
△FGH
,
I
is the mid-point of
FG
and
IJ
∥
GH
,
then
IG
=
(i)
HF
(ii)
FG
(iii)
FI
(iv)
JH
(v)
FJ
Question
5
5.
In the given figure
△JKL
,
M
is the mid-point of
JK
and
MN
∥
KL
,
then
JN
=
(i)
LJ
(ii)
NL
(iii)
JK
(iv)
JM
(v)
MK
Question
6
6.
In the given figure
△DEF
,
G
is the mid-point of
DE
and
GH
∥
EF
,
then
HF
=
(i)
FD
(ii)
DG
(iii)
GE
(iv)
DH
(v)
DE
Question
7
7.
L, M, N are the mid-points of the sides of triangle EFG.
If the perimeter of the
△EFG
is
54 cm
, the perimeter of
△LMN
is
(i)
25.0 cm
(ii)
28.0 cm
(iii)
26.0 cm
(iv)
29.0 cm
(v)
27.0 cm
Question
8
8.
The figure formed by successively joining the mid-points of the sides of a parallelogram is
(i)
parallelogram
(ii)
rhombus
(iii)
square
(iv)
rectangle
Question
9
9.
The figure formed by successively joining the mid-points of the sides of a rectangle is
(i)
rhombus
(ii)
parallelogram
(iii)
rectangle
(iv)
square
Question
10
10.
The figure formed by successively joining the mid-points of the sides of a rhombus is
(i)
parallelogram
(ii)
square
(iii)
rhombus
(iv)
rectangle
Question
11
11.
BCDE is a rhombus. M, N, O and P are mid-points of sides BC, CD, DE and EB. Find ∠NOP
(i)
92°
(ii)
91°
(iii)
90°
(iv)
89°
(v)
88°
Question
12
12.
In the given figure, JKLM is a parallelogram
such that
N
and
O
are mid-points of sides
JK
&
LM
.
JO
meets
KM
at
R
and
LN
meets
KM
at
S
. Given
KM
=
15 cm
, find
KS
(i)
5.00 cm
(ii)
7.00 cm
(iii)
6.00 cm
(iv)
3.00 cm
(v)
4.00 cm
Question
13
13.
In the given figure, FGHI is a trapezium. J and K are mid-points of FI and GH.Given HI = 11 cm and JK = 15.5 cm, find FG
(i)
18.0 cm
(ii)
22.0 cm
(iii)
21.0 cm
(iv)
20.0 cm
(v)
19.0 cm
Question
14
14.
In the given figure, △GHI is a triangle.
J
,
K
&
L
are mid-points of
HI
,
IG
&
GH
respectively.
Given
JK = 10 cm
,
KL = 8 cm
&
LJ = 9 cm
,
find the sides of the triangle.
(i)
18 cm
,
16 cm
&
18 cm
(ii)
20 cm
,
16 cm
&
21 cm
(iii)
20 cm
,
15 cm
&
18 cm
(iv)
21 cm
,
16 cm
&
18 cm
(v)
20 cm
,
16 cm
&
18 cm
Question
15
15.
DEFG is a quadrilateral. R, S, T and U are mid-points of DE, EF, FG and GD respectively.If DF = 27 cm and EG = 19 cm, find the measure of the sides of RSTU.
(i)
13.5 cm
,
9.5 cm
,
13.5 cm
,
9.5 cm
(ii)
13.5 cm
,
8 cm
,
13.5 cm
,
8 cm
(iii)
13.5 cm
,
6 cm
,
13.5 cm
,
6 cm
(iv)
14 cm
,
9.5 cm
,
14 cm
,
9.5 cm
(v)
15 cm
,
9.5 cm
,
15 cm
,
9.5 cm
Question
16
16.
In the given
△ABC
,
DB
=
1
4
AB
and
EC
=
1
4
AC
. If
DE = 14 cm
, find
BC
(i)
20.67 cm
(ii)
18.67 cm
(iii)
17.67 cm
(iv)
16.67 cm
(v)
19.67 cm
Question
17
17.
In the given figure, l, m & n are three straight lines such that AF ∥ BE ∥ CD and DP ∥ EQ ∥ FR.Given y = 10 cm, x = 12 cm and b = 12 cm, find 'a'
(i)
9.00 cm
(ii)
12.00 cm
(iii)
11.00 cm
(iv)
10.00 cm
(v)
8.00 cm
Assignment Key
1) (i)
2) (ii)
3) (i)
4) (iii)
5) (ii)
6) (iv)
7) (v)
8) (i)
9) (i)
10) (iv)
11) (iii)
12) (i)
13) (iv)
14) (v)
15) (i)
16) (ii)
17) (iv)
