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
△EFG
,
H
is the mid-point of
EF
and
HI
∥
FG
,
then
EI
=
(i)
FG
2
(ii)
GE
2
(iii)
EH
(iv)
EF
2
(v)
FG
Question
2
2.
In the given figure
△GHI
,
J
is the mid-point of
GH
and
JK
∥
HI
,
then
GJ
=
(i)
HI
2
(ii)
HI
(iii)
GH
2
(iv)
GK
(v)
IG
2
Question
3
3.
In the given figure
△DEF
,
G
is the mid-point of
DE
and
GH
∥
EF
,
then
DG
=
(i)
GE
(ii)
DE
(iii)
HF
(iv)
FD
(v)
DH
Question
4
4.
In the given figure
△FGH
,
I
is the mid-point of
FG
and
IJ
∥
GH
,
then
IG
=
(i)
FG
(ii)
JH
(iii)
HF
(iv)
FI
(v)
FJ
Question
5
5.
In the given figure
△HIJ
,
K
is the mid-point of
HI
and
KL
∥
IJ
,
then
HL
=
(i)
HI
(ii)
KI
(iii)
LJ
(iv)
HK
(v)
JH
Question
6
6.
In the given figure
△GHI
,
J
is the mid-point of
GH
and
JK
∥
HI
,
then
KI
=
(i)
GH
(ii)
JH
(iii)
IG
(iv)
GK
(v)
GJ
Question
7
7.
M, N, O are the mid-points of the sides of triangle DEF.
If the perimeter of the
△DEF
is
55 cm
, the perimeter of
△MNO
is
(i)
28.5 cm
(ii)
29.5 cm
(iii)
26.5 cm
(iv)
27.5 cm
(v)
25.5 cm
Question
8
8.
The figure formed by successively joining the mid-points of the sides of a parallelogram is
(i)
rhombus
(ii)
square
(iii)
parallelogram
(iv)
rectangle
Question
9
9.
The figure formed by successively joining the mid-points of the sides of a rectangle is
(i)
rectangle
(ii)
rhombus
(iii)
parallelogram
(iv)
square
Question
10
10.
The figure formed by successively joining the mid-points of the sides of a rhombus is
(i)
parallelogram
(ii)
rhombus
(iii)
rectangle
(iv)
square
Question
11
11.
EFGH is a rhombus. P, Q, R and S are mid-points of sides EF, FG, GH and HE. Find ∠QRS
(i)
90°
(ii)
91°
(iii)
88°
(iv)
92°
(v)
89°
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
P
and
LN
meets
KM
at
Q
. Given
KM
=
16 cm
, find
PM
(i)
3.33 cm
(ii)
6.33 cm
(iii)
5.33 cm
(iv)
4.33 cm
(v)
7.33 cm
Question
13
13.
In the given figure, CDEF is a trapezium. G and H are mid-points of CF and DE.Given EF = 9 cm and GH = 14 cm, find CD
(i)
21.0 cm
(ii)
19.0 cm
(iii)
20.0 cm
(iv)
17.0 cm
(v)
18.0 cm
Question
14
14.
In the given figure, △EFG is a triangle.
H
,
I
&
J
are mid-points of
FG
,
GE
&
EF
respectively.
Given
HI = 10 cm
,
IJ = 9 cm
&
JH = 10 cm
,
find the sides of the triangle.
(i)
20 cm
,
18 cm
&
20 cm
(ii)
20 cm
,
18 cm
&
22 cm
(iii)
17 cm
,
18 cm
&
20 cm
(iv)
20 cm
,
17 cm
&
20 cm
(v)
21 cm
,
18 cm
&
20 cm
Question
15
15.
BCDE is a quadrilateral. S, T, U and V are mid-points of BC, CD, DE and EB respectively.If BD = 29 cm and CE = 16 cm, find the measure of the sides of STUV.
(i)
16 cm
,
8 cm
,
16 cm
,
8 cm
(ii)
14.5 cm
,
5 cm
,
14.5 cm
,
5 cm
(iii)
14.5 cm
,
7 cm
,
14.5 cm
,
7 cm
(iv)
15 cm
,
8 cm
,
15 cm
,
8 cm
(v)
14.5 cm
,
8 cm
,
14.5 cm
,
8 cm
Question
16
16.
In the given
△HIJ
,
KI
=
1
4
HI
and
LJ
=
1
4
HJ
. If
KL = 14 cm
, find
IJ
(i)
19.67 cm
(ii)
17.67 cm
(iii)
20.67 cm
(iv)
16.67 cm
(v)
18.67 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 b = 12 cm, x = 12 cm and y = 10 cm, find 'a'
(i)
12.00 cm
(ii)
11.00 cm
(iii)
10.00 cm
(iv)
8.00 cm
(v)
9.00 cm
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (iv)
5) (iii)
6) (iv)
7) (iv)
8) (iii)
9) (ii)
10) (iii)
11) (i)
12) (iii)
13) (ii)
14) (i)
15) (v)
16) (v)
17) (iii)
