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
2
(ii)
EC
2
(iii)
CF
(iv)
CD
2
(v)
DE
Question
2
2.
In the given figure
△HIJ
,
K
is the mid-point of
HI
and
KL
∥
IJ
,
then
HK
=
(i)
HL
(ii)
IJ
(iii)
IJ
2
(iv)
HI
2
(v)
JH
2
Question
3
3.
In the given figure
△KLM
,
N
is the mid-point of
KL
and
NO
∥
LM
,
then
KN
=
(i)
OM
(ii)
MK
(iii)
KL
(iv)
NL
(v)
KO
Question
4
4.
In the given figure
△CDE
,
F
is the mid-point of
CD
and
FG
∥
DE
,
then
FD
=
(i)
CD
(ii)
CF
(iii)
EC
(iv)
CG
(v)
GE
Question
5
5.
In the given figure
△EFG
,
H
is the mid-point of
EF
and
HI
∥
FG
,
then
EI
=
(i)
EH
(ii)
GE
(iii)
EF
(iv)
IG
(v)
HF
Question
6
6.
In the given figure
△KLM
,
N
is the mid-point of
KL
and
NO
∥
LM
,
then
OM
=
(i)
KL
(ii)
KN
(iii)
MK
(iv)
NL
(v)
KO
Question
7
7.
M, N, O are the mid-points of the sides of triangle EFG.
If the perimeter of the
△EFG
is
51 cm
, the perimeter of
△MNO
is
(i)
24.5 cm
(ii)
25.5 cm
(iii)
23.5 cm
(iv)
26.5 cm
(v)
27.5 cm
Question
8
8.
The figure formed by successively joining the mid-points of the sides of a parallelogram is
(i)
rectangle
(ii)
square
(iii)
parallelogram
(iv)
rhombus
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)
rectangle
(iii)
rhombus
(iv)
square
Question
11
11.
BCDE is a rhombus. P, Q, R and S are mid-points of sides BC, CD, DE and EB. Find ∠QRS
(i)
89°
(ii)
90°
(iii)
88°
(iv)
91°
(v)
92°
Question
12
12.
In the given figure, FGHI is a parallelogram
such that
J
and
K
are mid-points of sides
FG
&
HI
.
FK
meets
GI
at
Q
and
HJ
meets
GI
at
R
. Given
GI
=
17 cm
, find
GR
(i)
4.67 cm
(ii)
3.67 cm
(iii)
6.67 cm
(iv)
7.67 cm
(v)
5.67 cm
Question
13
13.
In the given figure, ABCD is a trapezium. E and F are mid-points of AD and BC.Given CD = 8 cm and EF = 13.5 cm, find AB
(i)
17.0 cm
(ii)
20.0 cm
(iii)
21.0 cm
(iv)
18.0 cm
(v)
19.0 cm
Question
14
14.
In the given figure, △DEF is a triangle.
G
,
H
&
I
are mid-points of
EF
,
FD
&
DE
respectively.
Given
GH = 8 cm
,
HI = 9 cm
&
IG = 10 cm
,
find the sides of the triangle.
(i)
13 cm
,
18 cm
&
20 cm
(ii)
16 cm
,
18 cm
&
20 cm
(iii)
17 cm
,
18 cm
&
20 cm
(iv)
16 cm
,
18 cm
&
22 cm
(v)
16 cm
,
17 cm
&
20 cm
Question
15
15.
EFGH is a quadrilateral. R, S, T and U are mid-points of EF, FG, GH and HE respectively.If EG = 32 cm and FH = 16 cm, find the measure of the sides of RSTU.
(i)
17 cm
,
8 cm
,
17 cm
,
8 cm
(ii)
16 cm
,
5 cm
,
16 cm
,
5 cm
(iii)
16 cm
,
8 cm
,
16 cm
,
8 cm
(iv)
19 cm
,
8 cm
,
19 cm
,
8 cm
(v)
16 cm
,
7 cm
,
16 cm
,
7 cm
Question
16
16.
In the given
△BCD
,
EC
=
1
4
BC
and
FD
=
1
4
BD
. If
EF = 12 cm
, find
CD
(i)
16.00 cm
(ii)
14.00 cm
(iii)
15.00 cm
(iv)
18.00 cm
(v)
17.00 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 y = 10 cm, x = 12 cm and a = 10 cm, find 'b'
(i)
11.00 cm
(ii)
13.00 cm
(iii)
10.00 cm
(iv)
12.00 cm
(v)
14.00 cm
Assignment Key
1) (ii)
2) (iv)
3) (iv)
4) (ii)
5) (iv)
6) (v)
7) (ii)
8) (iii)
9) (ii)
10) (ii)
11) (ii)
12) (v)
13) (v)
14) (ii)
15) (iii)
16) (i)
17) (iv)
