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
△JKL
,
M
is the mid-point of
JK
and
MN
∥
KL
,
then
JN
=
(i)
KL
2
(ii)
KL
(iii)
LJ
2
(iv)
JK
2
(v)
JM
Question
2
2.
In the given figure
△GHI
,
J
is the mid-point of
GH
and
JK
∥
HI
,
then
GJ
=
(i)
IG
2
(ii)
HI
(iii)
GH
2
(iv)
HI
2
(v)
GK
Question
3
3.
In the given figure
△BCD
,
E
is the mid-point of
BC
and
EF
∥
CD
,
then
BE
=
(i)
BC
(ii)
EC
(iii)
FD
(iv)
DB
(v)
BF
Question
4
4.
In the given figure
△FGH
,
I
is the mid-point of
FG
and
IJ
∥
GH
,
then
IG
=
(i)
FI
(ii)
FJ
(iii)
FG
(iv)
HF
(v)
JH
Question
5
5.
In the given figure
△GHI
,
J
is the mid-point of
GH
and
JK
∥
HI
,
then
GK
=
(i)
JH
(ii)
KI
(iii)
GH
(iv)
IG
(v)
GJ
Question
6
6.
In the given figure
△HIJ
,
K
is the mid-point of
HI
and
KL
∥
IJ
,
then
LJ
=
(i)
HL
(ii)
KI
(iii)
HI
(iv)
HK
(v)
JH
Question
7
7.
DEFG is a rhombus. O, P, Q and R are mid-points of sides DE, EF, FG and GD. Find ∠PQR
(i)
92°
(ii)
88°
(iii)
90°
(iv)
91°
(v)
89°
Question
8
8.
In the given figure, CDEF is a parallelogram
such that
G
and
H
are mid-points of sides
CD
&
EF
.
CH
meets
DF
at
P
and
EG
meets
DF
at
Q
. Given
DF
=
19 cm
, find
PF
(i)
5.33 cm
(ii)
7.33 cm
(iii)
6.33 cm
(iv)
8.33 cm
(v)
4.33 cm
Question
9
9.
In the given figure, EFGH is a parallelogram such that S is the mid-point of EF and EF = 2HE. Find ∠HSG
(i)
92°
(ii)
88°
(iii)
91°
(iv)
90°
(v)
89°
Question
10
10.
In the given figure, DEFG is a trapezium. H and I are mid-points of DG and EF.Given HI = 14.5 cm and DE = 20 cm, find FG
(i)
7.0 cm
(ii)
11.0 cm
(iii)
9.0 cm
(iv)
8.0 cm
(v)
10.0 cm
Question
11
11.
In the given figure, △MNO is a triangle.
P
,
Q
&
R
are mid-points of
NO
,
OM
&
MN
respectively.
Given
PQ = 8 cm
,
QR = 10 cm
&
RP = 8 cm
,
find the sides of the triangle.
(i)
16 cm
,
20 cm
&
19 cm
(ii)
16 cm
,
19 cm
&
16 cm
(iii)
13 cm
,
20 cm
&
16 cm
(iv)
17 cm
,
20 cm
&
16 cm
(v)
16 cm
,
20 cm
&
16 cm
Question
12
12.
In the given figure, BCDE is a parallelogram. The bisector of the angles B, C, D & E intersect at R, S, T & U to form a quadrilateral. Find ∠RST
(i)
89°
(ii)
92°
(iii)
88°
(iv)
91°
(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 a = 8 cm, x = 10 cm and b = 8 cm, find 'y'
(i)
11.00 cm
(ii)
10.00 cm
(iii)
8.00 cm
(iv)
9.00 cm
(v)
12.00 cm
Assignment Key
1) (iii)
2) (iii)
3) (ii)
4) (i)
5) (ii)
6) (i)
7) (iii)
8) (iii)
9) (iv)
10) (iii)
11) (v)
12) (v)
13) (ii)
