EduSahara™ Assignment
Name : The Midpoint Theorem of Triangle
Chapter : Quadrilaterals
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
In the given figure
△FGH
,
I
is the mid-point of
FG
and
IJ
∥
GH
,
then
FJ
=
(i)
GH
2
(ii)
FG
2
(iii)
HF
2
(iv)
GH
(v)
FI
Question
2
2.
In the given figure
△KLM
,
N
is the mid-point of
KL
and
NO
∥
LM
,
then
KN
=
(i)
KL
2
(ii)
KO
(iii)
MK
2
(iv)
LM
2
(v)
LM
Question
3
3.
In the given figure
△EFG
,
H
is the mid-point of
EF
and
HI
∥
FG
,
then
EH
=
(i)
EI
(ii)
EF
(iii)
IG
(iv)
GE
(v)
HF
Question
4
4.
In the given figure
△BCD
,
E
is the mid-point of
BC
and
EF
∥
CD
,
then
EC
=
(i)
DB
(ii)
BF
(iii)
BE
(iv)
BC
(v)
FD
Question
5
5.
In the given figure
△IJK
,
L
is the mid-point of
IJ
and
LM
∥
JK
,
then
IM
=
(i)
LJ
(ii)
IL
(iii)
MK
(iv)
IJ
(v)
KI
Question
6
6.
In the given figure
△JKL
,
M
is the mid-point of
JK
and
MN
∥
KL
,
then
NL
=
(i)
MK
(ii)
JN
(iii)
JK
(iv)
JM
(v)
LJ
Question
7
7.
EFGH is a rhombus. M, N, O and P are mid-points of sides EF, FG, GH and HE. Find ∠NOP
(i)
92°
(ii)
89°
(iii)
88°
(iv)
91°
(v)
90°
Question
8
8.
In the given figure, GHIJ is a parallelogram
such that
K
and
L
are mid-points of sides
GH
&
IJ
.
GL
meets
HJ
at
R
and
IK
meets
HJ
at
S
. Given
HJ
=
19 cm
, find
RS
(i)
5.33 cm
(ii)
7.33 cm
(iii)
4.33 cm
(iv)
8.33 cm
(v)
6.33 cm
Question
9
9.
In the given figure, BCDE is a parallelogram such that T is the mid-point of BC and BC = 2EB. Find ∠ETD
(i)
92°
(ii)
91°
(iii)
89°
(iv)
90°
(v)
88°
Question
10
10.
In the given figure, CDEF is a trapezium. G and H are mid-points of CF and DE.Given EF = 9 cm and CD = 20 cm, find GH
(i)
15.5 cm
(ii)
12.5 cm
(iii)
14.5 cm
(iv)
16.5 cm
(v)
13.5 cm
Question
11
11.
In the given figure, △KLM is a triangle.
N
,
O
&
P
are mid-points of
LM
,
MK
&
KL
respectively.
Given
NO = 9 cm
,
OP = 9 cm
&
PN = 10 cm
,
find the sides of the triangle.
(i)
16 cm
,
18 cm
&
20 cm
(ii)
18 cm
,
18 cm
&
22 cm
(iii)
19 cm
,
18 cm
&
20 cm
(iv)
18 cm
,
17 cm
&
20 cm
(v)
18 cm
,
18 cm
&
20 cm
Question
12
12.
In the given figure, BCDE is a parallelogram. The bisector of the angles B, C, D & E intersect at Q, R, S & T to form a quadrilateral. Find ∠QRS
(i)
92°
(ii)
91°
(iii)
88°
(iv)
89°
(v)
90°
Question
13
13.
In the given figure, l, m & n are three straight lines such that AF ∥ BE ∥ CD and DP ∥ EQ ∥ FR.Given b = 10 cm, a = 10 cm and y = 10 cm, find 'x'
(i)
12.00 cm
(ii)
10.00 cm
(iii)
9.00 cm
(iv)
8.00 cm
(v)
11.00 cm
Assignment Key
1) (iii)
2) (i)
3) (v)
4) (iii)
5) (iii)
6) (ii)
7) (v)
8) (v)
9) (iv)
10) (iii)
11) (v)
12) (v)
13) (ii)
