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
△HIJ
,
K
is the mid-point of
HI
and
KL
∥
IJ
,
then
HL
=
(i)
IJ
(ii)
IJ
2
(iii)
HK
(iv)
HI
2
(v)
JH
2
Question
2
2.
In the given figure
△BCD
,
E
is the mid-point of
BC
and
EF
∥
CD
,
then
BE
=
(i)
BF
(ii)
DB
2
(iii)
BC
2
(iv)
CD
2
(v)
CD
Question
3
3.
In the given figure
△FGH
,
I
is the mid-point of
FG
and
IJ
∥
GH
,
then
FI
=
(i)
HF
(ii)
FJ
(iii)
IG
(iv)
FG
(v)
JH
Question
4
4.
In the given figure
△BCD
,
E
is the mid-point of
BC
and
EF
∥
CD
,
then
EC
=
(i)
BF
(ii)
FD
(iii)
BC
(iv)
DB
(v)
BE
Question
5
5.
In the given figure
△ABC
,
D
is the mid-point of
AB
and
DE
∥
BC
,
then
AE
=
(i)
CA
(ii)
AD
(iii)
AB
(iv)
DB
(v)
EC
Question
6
6.
In the given figure
△DEF
,
G
is the mid-point of
DE
and
GH
∥
EF
,
then
HF
=
(i)
FD
(ii)
DH
(iii)
GE
(iv)
DG
(v)
DE
Question
7
7.
M, N, O are the mid-points of the sides of triangle GHI.
If the perimeter of the
△GHI
is
57 cm
, the perimeter of
△MNO
is
(i)
28.5 cm
(ii)
29.5 cm
(iii)
30.5 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)
parallelogram
(ii)
rhombus
(iii)
rectangle
(iv)
square
Question
9
9.
The figure formed by successively joining the mid-points of the sides of a rectangle is
(i)
rhombus
(ii)
parallelogram
(iii)
rectangle
(iv)
square
Question
10
10.
The figure formed by successively joining the mid-points of the sides of a rhombus is
(i)
parallelogram
(ii)
rhombus
(iii)
square
(iv)
rectangle
Question
11
11.
DEFG is a rhombus. P, Q, R and S are mid-points of sides DE, EF, FG and GD. Find ∠QRS
(i)
89°
(ii)
90°
(iii)
91°
(iv)
92°
(v)
88°
Question
12
12.
In the given figure, BCDE is a parallelogram
such that
F
and
G
are mid-points of sides
BC
&
DE
.
BG
meets
CE
at
U
and
DF
meets
CE
at
V
. Given
CE
=
20 cm
, find
CV
(i)
4.67 cm
(ii)
5.67 cm
(iii)
8.67 cm
(iv)
6.67 cm
(v)
7.67 cm
Question
13
13.
In the given figure, JKLM is a trapezium. N and O are mid-points of JM and KL.Given JK = 19 cm and NO = 13 cm, find LM
(i)
5.0 cm
(ii)
8.0 cm
(iii)
7.0 cm
(iv)
6.0 cm
(v)
9.0 cm
Question
14
14.
In the given figure, △BCD is a triangle.
E
,
F
&
G
are mid-points of
CD
,
DB
&
BC
respectively.
Given
EF = 8 cm
,
FG = 8 cm
&
GE = 8 cm
,
find the sides of the triangle.
(i)
16 cm
,
16 cm
&
18 cm
(ii)
17 cm
,
16 cm
&
16 cm
(iii)
16 cm
,
16 cm
&
16 cm
(iv)
16 cm
,
15 cm
&
16 cm
(v)
13 cm
,
16 cm
&
16 cm
Question
15
15.
EFGH is a quadrilateral. T, U, V and W are mid-points of EF, FG, GH and HE respectively.If EG = 27 cm and FH = 20 cm, find the measure of the sides of TUVW.
(i)
13.5 cm
,
7 cm
,
13.5 cm
,
7 cm
(ii)
13.5 cm
,
9 cm
,
13.5 cm
,
9 cm
(iii)
15 cm
,
10 cm
,
15 cm
,
10 cm
(iv)
13.5 cm
,
10 cm
,
13.5 cm
,
10 cm
(v)
14 cm
,
10 cm
,
14 cm
,
10 cm
Question
16
16.
In the given
△ABC
,
DB
=
1
4
AB
and
EC
=
1
4
AC
. If
DE = 14 cm
, find
BC
(i)
19.67 cm
(ii)
16.67 cm
(iii)
18.67 cm
(iv)
20.67 cm
(v)
17.67 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 b = 10 cm, y = 10 cm and x = 10 cm, find 'a'
(i)
9.00 cm
(ii)
11.00 cm
(iii)
12.00 cm
(iv)
8.00 cm
(v)
10.00 cm
Assignment Key
1) (v)
2) (iii)
3) (iii)
4) (v)
5) (v)
6) (ii)
7) (i)
8) (i)
9) (i)
10) (iv)
11) (ii)
12) (iv)
13) (iii)
14) (iii)
15) (iv)
16) (iii)
17) (v)
