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
△KLM
,
N
is the mid-point of
KL
and
NO
∥
LM
,
then
KO
=
(i)
LM
2
(ii)
KL
2
(iii)
KN
(iv)
MK
2
(v)
LM
Question
2
2.
In the given figure
△BCD
,
E
is the mid-point of
BC
and
EF
∥
CD
,
then
BE
=
(i)
CD
2
(ii)
BC
2
(iii)
BF
(iv)
DB
2
(v)
CD
Question
3
3.
In the given figure
△KLM
,
N
is the mid-point of
KL
and
NO
∥
LM
,
then
KN
=
(i)
KO
(ii)
NL
(iii)
MK
(iv)
OM
(v)
KL
Question
4
4.
In the given figure
△CDE
,
F
is the mid-point of
CD
and
FG
∥
DE
,
then
FD
=
(i)
CD
(ii)
CF
(iii)
EC
(iv)
GE
(v)
CG
Question
5
5.
In the given figure
△ABC
,
D
is the mid-point of
AB
and
DE
∥
BC
,
then
AE
=
(i)
AB
(ii)
DB
(iii)
AD
(iv)
CA
(v)
EC
Question
6
6.
In the given figure
△EFG
,
H
is the mid-point of
EF
and
HI
∥
FG
,
then
IG
=
(i)
HF
(ii)
GE
(iii)
EH
(iv)
EI
(v)
EF
Question
7
7.
O, P, Q are the mid-points of the sides of triangle FGH.
If the perimeter of the
△FGH
is
54 cm
, the perimeter of
△OPQ
is
(i)
29.0 cm
(ii)
27.0 cm
(iii)
26.0 cm
(iv)
25.0 cm
(v)
28.0 cm
Question
8
8.
The figure formed by successively joining the mid-points of the sides of a parallelogram is
(i)
rhombus
(ii)
parallelogram
(iii)
square
(iv)
rectangle
Question
9
9.
The figure formed by successively joining the mid-points of the sides of a rectangle is
(i)
square
(ii)
rhombus
(iii)
parallelogram
(iv)
rectangle
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.
DEFG is a rhombus. M, N, O and P are mid-points of sides DE, EF, FG and GD. Find ∠NOP
(i)
92°
(ii)
89°
(iii)
88°
(iv)
90°
(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
=
17 cm
, find
TU
(i)
5.67 cm
(ii)
6.67 cm
(iii)
7.67 cm
(iv)
3.67 cm
(v)
4.67 cm
Question
13
13.
In the given figure, KLMN is a trapezium. O and P are mid-points of KN and LM.Given MN = 7 cm and KL = 20 cm, find OP
(i)
11.5 cm
(ii)
15.5 cm
(iii)
12.5 cm
(iv)
14.5 cm
(v)
13.5 cm
Question
14
14.
In the given figure, △FGH is a triangle.
I
,
J
&
K
are mid-points of
GH
,
HF
&
FG
respectively.
Given
IJ = 9 cm
,
JK = 9 cm
&
KI = 8 cm
,
find the sides of the triangle.
(i)
18 cm
,
17 cm
&
16 cm
(ii)
15 cm
,
18 cm
&
16 cm
(iii)
18 cm
,
18 cm
&
19 cm
(iv)
19 cm
,
18 cm
&
16 cm
(v)
18 cm
,
18 cm
&
16 cm
Question
15
15.
ABCD is a quadrilateral. Q, R, S and T are mid-points of AB, BC, CD and DA respectively.If AC = 31 cm and BD = 19 cm, find the measure of the sides of QRST.
(i)
16 cm
,
9.5 cm
,
16 cm
,
9.5 cm
(ii)
15.5 cm
,
7 cm
,
15.5 cm
,
7 cm
(iii)
18 cm
,
9.5 cm
,
18 cm
,
9.5 cm
(iv)
15.5 cm
,
9.5 cm
,
15.5 cm
,
9.5 cm
(v)
15.5 cm
,
8 cm
,
15.5 cm
,
8 cm
Question
16
16.
In the given
△KLM
,
NL
=
1
4
KL
and
OM
=
1
4
KM
. If
NO = 16 cm
, find
LM
(i)
20.33 cm
(ii)
22.33 cm
(iii)
21.33 cm
(iv)
19.33 cm
(v)
23.33 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 b = 6.67 cm, a = 10 cm and y = 12 cm, find 'x'
(i)
10.00 cm
(ii)
9.00 cm
(iii)
6.00 cm
(iv)
7.00 cm
(v)
8.00 cm
Assignment Key
1) (iv)
2) (ii)
3) (ii)
4) (ii)
5) (v)
6) (iv)
7) (ii)
8) (ii)
9) (ii)
10) (iii)
11) (iv)
12) (i)
13) (v)
14) (v)
15) (iv)
16) (iii)
17) (v)
