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
△KLM
,
N
is the mid-point of
KL
and
NO
∥
LM
,
then
KO
=
(i)
LM
2
(ii)
LM
(iii)
KN
(iv)
KL
2
(v)
MK
2
Question
2
2.
In the given figure
△DEF
,
G
is the mid-point of
DE
and
GH
∥
EF
,
then
DG
=
(i)
DH
(ii)
EF
2
(iii)
EF
(iv)
FD
2
(v)
DE
2
Question
3
3.
In the given figure
△CDE
,
F
is the mid-point of
CD
and
FG
∥
DE
,
then
CF
=
(i)
CG
(ii)
CD
(iii)
GE
(iv)
EC
(v)
FD
Question
4
4.
In the given figure
△BCD
,
E
is the mid-point of
BC
and
EF
∥
CD
,
then
EC
=
(i)
BF
(ii)
BC
(iii)
BE
(iv)
FD
(v)
DB
Question
5
5.
In the given figure
△KLM
,
N
is the mid-point of
KL
and
NO
∥
LM
,
then
KO
=
(i)
NL
(ii)
MK
(iii)
KN
(iv)
KL
(v)
OM
Question
6
6.
In the given figure
△BCD
,
E
is the mid-point of
BC
and
EF
∥
CD
,
then
FD
=
(i)
BE
(ii)
EC
(iii)
BF
(iv)
DB
(v)
BC
Question
7
7.
CDEF is a rhombus. O, P, Q and R are mid-points of sides CD, DE, EF and FC. Find ∠PQR
(i)
91°
(ii)
90°
(iii)
92°
(iv)
89°
(v)
88°
Question
8
8.
In the given figure, DEFG is a parallelogram
such that
H
and
I
are mid-points of sides
DE
&
FG
.
DI
meets
EG
at
S
and
FH
meets
EG
at
T
. Given
EG
=
16 cm
, find
ST
(i)
4.33 cm
(ii)
7.33 cm
(iii)
6.33 cm
(iv)
5.33 cm
(v)
3.33 cm
Question
9
9.
In the given figure, IJKL is a parallelogram such that Q is the mid-point of IJ and IJ = 2LI. Find ∠LQK
(i)
91°
(ii)
89°
(iii)
88°
(iv)
92°
(v)
90°
Question
10
10.
In the given figure, DEFG is a trapezium. H and I are mid-points of DG and EF.Given FG = 10 cm and DE = 20 cm, find HI
(i)
13.0 cm
(ii)
14.0 cm
(iii)
17.0 cm
(iv)
16.0 cm
(v)
15.0 cm
Question
11
11.
In the given figure, △JKL is a triangle.
M
,
N
&
O
are mid-points of
KL
,
LJ
&
JK
respectively.
Given
MN = 9 cm
,
NO = 9 cm
&
OM = 9 cm
,
find the sides of the triangle.
(i)
19 cm
,
18 cm
&
18 cm
(ii)
18 cm
,
17 cm
&
18 cm
(iii)
18 cm
,
18 cm
&
18 cm
(iv)
18 cm
,
18 cm
&
20 cm
(v)
15 cm
,
18 cm
&
18 cm
Question
12
12.
In the given figure, ABCD is a parallelogram. The bisector of the angles A, B, C & D intersect at R, S, T & U to form a quadrilateral. Find ∠URS
(i)
91°
(ii)
89°
(iii)
88°
(iv)
92°
(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 y = 10 cm, a = 8 cm and x = 10 cm, find 'b'
(i)
6.00 cm
(ii)
9.00 cm
(iii)
8.00 cm
(iv)
10.00 cm
(v)
7.00 cm
Assignment Key
1) (v)
2) (v)
3) (v)
4) (iii)
5) (v)
6) (iii)
7) (ii)
8) (iv)
9) (v)
10) (v)
11) (iii)
12) (v)
13) (iii)
