EduSahara™ Assignment
Name : The Midpoint Theorem of Triangle
Chapter : Quadrilaterals
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
In the given figure
△CDE
,
F
is the mid-point of
CD
and
FG
∥
DE
,
then
CG
=
(i)
DE
(ii)
CD
2
(iii)
CF
(iv)
DE
2
(v)
EC
2
Question
2
2.
In the given figure
△ABC
,
D
is the mid-point of
AB
and
DE
∥
BC
,
then
AD
=
(i)
CA
2
(ii)
BC
2
(iii)
BC
(iv)
AB
2
(v)
AE
Question
3
3.
In the given figure
△DEF
,
G
is the mid-point of
DE
and
GH
∥
EF
,
then
DG
=
(i)
DH
(ii)
DE
(iii)
FD
(iv)
HF
(v)
GE
Question
4
4.
In the given figure
△KLM
,
N
is the mid-point of
KL
and
NO
∥
LM
,
then
NL
=
(i)
KO
(ii)
KN
(iii)
MK
(iv)
OM
(v)
KL
Question
5
5.
In the given figure
△GHI
,
J
is the mid-point of
GH
and
JK
∥
HI
,
then
GK
=
(i)
JH
(ii)
GH
(iii)
IG
(iv)
KI
(v)
GJ
Question
6
6.
In the given figure
△IJK
,
L
is the mid-point of
IJ
and
LM
∥
JK
,
then
MK
=
(i)
LJ
(ii)
KI
(iii)
IM
(iv)
IJ
(v)
IL
Question
7
7.
O, P, Q are the mid-points of the sides of triangle EFG.
If the perimeter of the
△EFG
is
55 cm
, the perimeter of
△OPQ
is
(i)
28.5 cm
(ii)
26.5 cm
(iii)
29.5 cm
(iv)
27.5 cm
(v)
25.5 cm
Question
8
8.
The figure formed by successively joining the mid-points of the sides of a parallelogram is
(i)
rectangle
(ii)
parallelogram
(iii)
rhombus
(iv)
square
Question
9
9.
The figure formed by successively joining the mid-points of the sides of a rectangle is
(i)
rectangle
(ii)
rhombus
(iii)
parallelogram
(iv)
square
Question
10
10.
The figure formed by successively joining the mid-points of the sides of a rhombus is
(i)
parallelogram
(ii)
square
(iii)
rhombus
(iv)
rectangle
Question
11
11.
EFGH is a rhombus. Q, R, S and T are mid-points of sides EF, FG, GH and HE. Find ∠RST
(i)
88°
(ii)
89°
(iii)
92°
(iv)
91°
(v)
90°
Question
12
12.
In the given figure, DEFG is a parallelogram
such that
H
and
I
are mid-points of sides
DE
&
FG
.
DI
meets
EG
at
P
and
FH
meets
EG
at
Q
. Given
EG
=
18 cm
, find
PQ
(i)
4.00 cm
(ii)
6.00 cm
(iii)
5.00 cm
(iv)
8.00 cm
(v)
7.00 cm
Question
13
13.
In the given figure, HIJK is a trapezium. L and M are mid-points of HK and IJ.Given HI = 20 cm and LM = 16 cm, find JK
(i)
12.0 cm
(ii)
13.0 cm
(iii)
14.0 cm
(iv)
11.0 cm
(v)
10.0 cm
Question
14
14.
In the given figure, △ABC is a triangle.
D
,
E
&
F
are mid-points of
BC
,
CA
&
AB
respectively.
Given
DE = 9 cm
,
EF = 10 cm
&
FD = 9 cm
,
find the sides of the triangle.
(i)
18 cm
,
20 cm
&
21 cm
(ii)
18 cm
,
19 cm
&
18 cm
(iii)
19 cm
,
20 cm
&
18 cm
(iv)
18 cm
,
20 cm
&
18 cm
(v)
16 cm
,
20 cm
&
18 cm
Question
15
15.
CDEF is a quadrilateral. R, S, T and U are mid-points of CD, DE, EF and FC respectively.If CE = 27 cm and DF = 16 cm, find the measure of the sides of RSTU.
(i)
15 cm
,
8 cm
,
15 cm
,
8 cm
(ii)
13.5 cm
,
5 cm
,
13.5 cm
,
5 cm
(iii)
14 cm
,
8 cm
,
14 cm
,
8 cm
(iv)
13.5 cm
,
7 cm
,
13.5 cm
,
7 cm
(v)
13.5 cm
,
8 cm
,
13.5 cm
,
8 cm
Question
16
16.
In the given
△BCD
,
EC
=
1
4
BC
and
FD
=
1
4
BD
. If
EF = 14 cm
, find
CD
(i)
20.67 cm
(ii)
16.67 cm
(iii)
18.67 cm
(iv)
17.67 cm
(v)
19.67 cm
Question
17
17.
In the given figure, l, m & n are three straight lines such that AF ∥ BE ∥ CD and DP ∥ EQ ∥ FR.Given a = 10 cm, x = 8 cm and y = 12 cm, find 'b'
(i)
4.67 cm
(ii)
6.67 cm
(iii)
7.67 cm
(iv)
5.67 cm
(v)
8.67 cm
Assignment Key
1) (v)
2) (iv)
3) (v)
4) (ii)
5) (iv)
6) (iii)
7) (iv)
8) (ii)
9) (ii)
10) (iv)
11) (v)
12) (ii)
13) (i)
14) (iv)
15) (v)
16) (iii)
17) (ii)
