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
(ii)
GH
2
(iii)
FG
2
(iv)
FI
(v)
HF
2
Question
2
2.
In the given figure
△EFG
,
H
is the mid-point of
EF
and
HI
∥
FG
,
then
EH
=
(i)
GE
2
(ii)
FG
(iii)
EF
2
(iv)
EI
(v)
FG
2
Question
3
3.
In the given figure
△FGH
,
I
is the mid-point of
FG
and
IJ
∥
GH
,
then
FI
=
(i)
HF
(ii)
JH
(iii)
FG
(iv)
FJ
(v)
IG
Question
4
4.
In the given figure
△FGH
,
I
is the mid-point of
FG
and
IJ
∥
GH
,
then
IG
=
(i)
FJ
(ii)
HF
(iii)
FI
(iv)
FG
(v)
JH
Question
5
5.
In the given figure
△BCD
,
E
is the mid-point of
BC
and
EF
∥
CD
,
then
BF
=
(i)
BC
(ii)
FD
(iii)
BE
(iv)
EC
(v)
DB
Question
6
6.
In the given figure
△EFG
,
H
is the mid-point of
EF
and
HI
∥
FG
,
then
IG
=
(i)
EI
(ii)
EH
(iii)
GE
(iv)
EF
(v)
HF
Question
7
7.
BCDE is a rhombus. N, O, P and Q are mid-points of sides BC, CD, DE and EB. Find ∠OPQ
(i)
92°
(ii)
88°
(iii)
90°
(iv)
89°
(v)
91°
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
T
and
CE
meets
BD
at
U
. Given
BD
=
19 cm
, find
BU
(i)
7.33 cm
(ii)
5.33 cm
(iii)
8.33 cm
(iv)
6.33 cm
(v)
4.33 cm
Question
9
9.
In the given figure, GHIJ is a parallelogram such that T is the mid-point of GH and GH = 2JG. Find ∠JTI
(i)
91°
(ii)
92°
(iii)
90°
(iv)
88°
(v)
89°
Question
10
10.
In the given figure, LMNO is a trapezium. P and Q are mid-points of LO and MN.Given NO = 8 cm and PQ = 13.5 cm, find LM
(i)
20.0 cm
(ii)
19.0 cm
(iii)
17.0 cm
(iv)
21.0 cm
(v)
18.0 cm
Question
11
11.
In the given figure, △IJK is a triangle.
L
,
M
&
N
are mid-points of
JK
,
KI
&
IJ
respectively.
Given
LM = 8 cm
,
MN = 8 cm
&
NL = 8 cm
,
find the sides of the triangle.
(i)
13 cm
,
16 cm
&
16 cm
(ii)
17 cm
,
16 cm
&
16 cm
(iii)
16 cm
,
15 cm
&
16 cm
(iv)
16 cm
,
16 cm
&
18 cm
(v)
16 cm
,
16 cm
&
16 cm
Question
12
12.
In the given figure, IJKL is a parallelogram. The bisector of the angles I, J, K & L intersect at Q, R, S & T to form a quadrilateral. Find ∠QRS
(i)
89°
(ii)
88°
(iii)
90°
(iv)
92°
(v)
91°
Question
13
13.
In the given figure, l, m & n are three straight lines such that AF ∥ BE ∥ CD and DP ∥ EQ ∥ FR.Given a = 8 cm, y = 8 cm and x = 12 cm, find 'b'
(i)
12.00 cm
(ii)
14.00 cm
(iii)
10.00 cm
(iv)
13.00 cm
(v)
11.00 cm
Assignment Key
1) (v)
2) (iii)
3) (v)
4) (iii)
5) (ii)
6) (i)
7) (iii)
8) (iv)
9) (iii)
10) (ii)
11) (v)
12) (iii)
13) (i)
