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
△GHI
,
J
is the mid-point of
GH
and
JK
∥
HI
,
then
GK
=
(i)
HI
2
(ii)
HI
(iii)
GJ
(iv)
IG
2
(v)
GH
2
Question
2
2.
In the given figure
△CDE
,
F
is the mid-point of
CD
and
FG
∥
DE
,
then
CF
=
(i)
CG
(ii)
EC
2
(iii)
CD
2
(iv)
DE
(v)
DE
2
Question
3
3.
In the given figure
△DEF
,
G
is the mid-point of
DE
and
GH
∥
EF
,
then
DG
=
(i)
DE
(ii)
HF
(iii)
DH
(iv)
FD
(v)
GE
Question
4
4.
In the given figure
△ABC
,
D
is the mid-point of
AB
and
DE
∥
BC
,
then
DB
=
(i)
CA
(ii)
EC
(iii)
AB
(iv)
AE
(v)
AD
Question
5
5.
In the given figure
△IJK
,
L
is the mid-point of
IJ
and
LM
∥
JK
,
then
IM
=
(i)
LJ
(ii)
KI
(iii)
IL
(iv)
IJ
(v)
MK
Question
6
6.
In the given figure
△IJK
,
L
is the mid-point of
IJ
and
LM
∥
JK
,
then
MK
=
(i)
IJ
(ii)
IM
(iii)
IL
(iv)
KI
(v)
LJ
Question
7
7.
BCDE is a rhombus. P, Q, R and S are mid-points of sides BC, CD, DE and EB. Find ∠QRS
(i)
90°
(ii)
89°
(iii)
88°
(iv)
91°
(v)
92°
Question
8
8.
In the given figure, ABCD is a parallelogram
such that
E
and
F
are mid-points of sides
AB
&
CD
.
AF
meets
BD
at
R
and
CE
meets
BD
at
S
. Given
BD
=
16 cm
, find
RD
(i)
5.33 cm
(ii)
7.33 cm
(iii)
3.33 cm
(iv)
6.33 cm
(v)
4.33 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)
92°
(ii)
91°
(iii)
90°
(iv)
88°
(v)
89°
Question
10
10.
In the given figure, BCDE is a trapezium. F and G are mid-points of BE and CD.Given BC = 19 cm and FG = 14 cm, find DE
(i)
10.0 cm
(ii)
8.0 cm
(iii)
11.0 cm
(iv)
9.0 cm
(v)
7.0 cm
Question
11
11.
In the given figure, △FGH is a triangle.
I
,
J
&
K
are mid-points of
GH
,
HF
&
FG
respectively.
Given
IJ = 8 cm
,
JK = 9 cm
&
KI = 9 cm
,
find the sides of the triangle.
(i)
13 cm
,
18 cm
&
18 cm
(ii)
17 cm
,
18 cm
&
18 cm
(iii)
16 cm
,
18 cm
&
18 cm
(iv)
16 cm
,
17 cm
&
18 cm
(v)
16 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 S, T, U & V to form a quadrilateral. Find ∠UVS
(i)
91°
(ii)
90°
(iii)
92°
(iv)
89°
(v)
88°
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 = 10 cm and x = 10 cm, find 'b'
(i)
8.00 cm
(ii)
12.00 cm
(iii)
11.00 cm
(iv)
9.00 cm
(v)
10.00 cm
Assignment Key
1) (iv)
2) (iii)
3) (v)
4) (v)
5) (v)
6) (ii)
7) (i)
8) (i)
9) (iii)
10) (iv)
11) (iii)
12) (ii)
13) (v)
