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)
EH
(ii)
EF
2
(iii)
FG
(iv)
FG
2
(v)
GE
2
Question
2
2.
In the given figure
△ABC
,
D
is the mid-point of
AB
and
DE
∥
BC
,
then
AD
=
(i)
CA
2
(ii)
BC
2
(iii)
BC
(iv)
AB
2
(v)
AE
Question
3
3.
In the given figure
△EFG
,
H
is the mid-point of
EF
and
HI
∥
FG
,
then
EH
=
(i)
IG
(ii)
EI
(iii)
GE
(iv)
HF
(v)
EF
Question
4
4.
In the given figure
△CDE
,
F
is the mid-point of
CD
and
FG
∥
DE
,
then
FD
=
(i)
CF
(ii)
GE
(iii)
EC
(iv)
CG
(v)
CD
Question
5
5.
In the given figure
△DEF
,
G
is the mid-point of
DE
and
GH
∥
EF
,
then
DH
=
(i)
GE
(ii)
HF
(iii)
DE
(iv)
FD
(v)
DG
Question
6
6.
In the given figure
△KLM
,
N
is the mid-point of
KL
and
NO
∥
LM
,
then
OM
=
(i)
MK
(ii)
KN
(iii)
KO
(iv)
KL
(v)
NL
Question
7
7.
R, S, T are the mid-points of the sides of triangle EFG.
If the perimeter of the
△EFG
is
54 cm
, the perimeter of
△RST
is
(i)
28.0 cm
(ii)
29.0 cm
(iii)
27.0 cm
(iv)
26.0 cm
(v)
25.0 cm
Question
8
8.
The figure formed by successively joining the mid-points of the sides of a parallelogram is
(i)
parallelogram
(ii)
square
(iii)
rhombus
(iv)
rectangle
Question
9
9.
The figure formed by successively joining the mid-points of the sides of a rectangle is
(i)
parallelogram
(ii)
rectangle
(iii)
square
(iv)
rhombus
Question
10
10.
The figure formed by successively joining the mid-points of the sides of a rhombus is
(i)
rhombus
(ii)
rectangle
(iii)
parallelogram
(iv)
square
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)
90°
(ii)
89°
(iii)
88°
(iv)
92°
(v)
91°
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
T
and
LN
meets
KM
at
U
. Given
KM
=
16 cm
, find
TU
(i)
4.33 cm
(ii)
5.33 cm
(iii)
6.33 cm
(iv)
7.33 cm
(v)
3.33 cm
Question
13
13.
In the given figure, ABCD is a trapezium. E and F are mid-points of AD and BC.Given EF = 14 cm and AB = 19 cm, find CD
(i)
10.0 cm
(ii)
7.0 cm
(iii)
11.0 cm
(iv)
8.0 cm
(v)
9.0 cm
Question
14
14.
In the given figure, △JKL is a triangle.
M
,
N
&
O
are mid-points of
KL
,
LJ
&
JK
respectively.
Given
MN = 10 cm
,
NO = 8 cm
&
OM = 10 cm
,
find the sides of the triangle.
(i)
20 cm
,
16 cm
&
22 cm
(ii)
20 cm
,
16 cm
&
20 cm
(iii)
18 cm
,
16 cm
&
20 cm
(iv)
20 cm
,
15 cm
&
20 cm
(v)
21 cm
,
16 cm
&
20 cm
Question
15
15.
DEFG is a quadrilateral. T, U, V and W are mid-points of DE, EF, FG and GD respectively.If DF = 33 cm and EG = 18 cm, find the measure of the sides of TUVW.
(i)
19 cm
,
9 cm
,
19 cm
,
9 cm
(ii)
16.5 cm
,
9 cm
,
16.5 cm
,
9 cm
(iii)
16.5 cm
,
7 cm
,
16.5 cm
,
7 cm
(iv)
16.5 cm
,
8 cm
,
16.5 cm
,
8 cm
(v)
17 cm
,
9 cm
,
17 cm
,
9 cm
Question
16
16.
In the given
△HIJ
,
KI
=
1
4
HI
and
LJ
=
1
4
HJ
. If
KL = 16 cm
, find
IJ
(i)
20.33 cm
(ii)
23.33 cm
(iii)
22.33 cm
(iv)
19.33 cm
(v)
21.33 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 a = 12 cm, y = 12 cm and x = 10 cm, find 'b'
(i)
11.00 cm
(ii)
8.00 cm
(iii)
12.00 cm
(iv)
10.00 cm
(v)
9.00 cm
Assignment Key
1) (v)
2) (iv)
3) (iv)
4) (i)
5) (ii)
6) (iii)
7) (iii)
8) (i)
9) (iv)
10) (ii)
11) (i)
12) (ii)
13) (v)
14) (ii)
15) (ii)
16) (v)
17) (iv)
