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
△BCD
,
E
is the mid-point of
BC
and
EF
∥
CD
,
then
BF
=
(i)
CD
(ii)
DB
2
(iii)
CD
2
(iv)
BE
(v)
BC
2
Question
2
2.
In the given figure
△IJK
,
L
is the mid-point of
IJ
and
LM
∥
JK
,
then
IL
=
(i)
IM
(ii)
JK
(iii)
KI
2
(iv)
JK
2
(v)
IJ
2
Question
3
3.
In the given figure
△DEF
,
G
is the mid-point of
DE
and
GH
∥
EF
,
then
DG
=
(i)
DE
(ii)
DH
(iii)
FD
(iv)
GE
(v)
HF
Question
4
4.
In the given figure
△ABC
,
D
is the mid-point of
AB
and
DE
∥
BC
,
then
DB
=
(i)
AE
(ii)
AB
(iii)
EC
(iv)
CA
(v)
AD
Question
5
5.
In the given figure
△CDE
,
F
is the mid-point of
CD
and
FG
∥
DE
,
then
CG
=
(i)
GE
(ii)
FD
(iii)
CD
(iv)
CF
(v)
EC
Question
6
6.
In the given figure
△GHI
,
J
is the mid-point of
GH
and
JK
∥
HI
,
then
KI
=
(i)
JH
(ii)
GJ
(iii)
GK
(iv)
GH
(v)
IG
Question
7
7.
P, Q, R are the mid-points of the sides of triangle EFG.
If the perimeter of the
△EFG
is
50 cm
, the perimeter of
△PQR
is
(i)
26.0 cm
(ii)
25.0 cm
(iii)
27.0 cm
(iv)
23.0 cm
(v)
24.0 cm
Question
8
8.
The figure formed by successively joining the mid-points of the sides of a parallelogram is
(i)
square
(ii)
rhombus
(iii)
rectangle
(iv)
parallelogram
Question
9
9.
The figure formed by successively joining the mid-points of the sides of a rectangle is
(i)
rectangle
(ii)
square
(iii)
rhombus
(iv)
parallelogram
Question
10
10.
The figure formed by successively joining the mid-points of the sides of a rhombus is
(i)
square
(ii)
rectangle
(iii)
parallelogram
(iv)
rhombus
Question
11
11.
CDEF is a rhombus. O, P, Q and R are mid-points of sides CD, DE, EF and FC. Find ∠PQR
(i)
91°
(ii)
89°
(iii)
92°
(iv)
88°
(v)
90°
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
Q
and
DF
meets
CE
at
R
. Given
CE
=
15 cm
, find
CR
(i)
3.00 cm
(ii)
6.00 cm
(iii)
4.00 cm
(iv)
5.00 cm
(v)
7.00 cm
Question
13
13.
In the given figure, EFGH is a trapezium. I and J are mid-points of EH and FG.Given IJ = 13.5 cm and GH = 8 cm, find EF
(i)
17.0 cm
(ii)
21.0 cm
(iii)
18.0 cm
(iv)
19.0 cm
(v)
20.0 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 = 9 cm
,
FG = 10 cm
&
GE = 8 cm
,
find the sides of the triangle.
(i)
19 cm
,
20 cm
&
16 cm
(ii)
18 cm
,
20 cm
&
18 cm
(iii)
18 cm
,
19 cm
&
16 cm
(iv)
16 cm
,
20 cm
&
16 cm
(v)
18 cm
,
20 cm
&
16 cm
Question
15
15.
ABCD is a quadrilateral. Q, R, S and T are mid-points of AB, BC, CD and DA respectively.If AC = 31 cm and BD = 17 cm, find the measure of the sides of QRST.
(i)
15.5 cm
,
7 cm
,
15.5 cm
,
7 cm
(ii)
17 cm
,
8.5 cm
,
17 cm
,
8.5 cm
(iii)
15.5 cm
,
5 cm
,
15.5 cm
,
5 cm
(iv)
16 cm
,
8.5 cm
,
16 cm
,
8.5 cm
(v)
15.5 cm
,
8.5 cm
,
15.5 cm
,
8.5 cm
Question
16
16.
In the given
△DEF
,
GE
=
1
4
DE
and
HF
=
1
4
DF
. If
GH = 13 cm
, find
EF
(i)
16.33 cm
(ii)
17.33 cm
(iii)
19.33 cm
(iv)
18.33 cm
(v)
15.33 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 x = 10 cm, y = 10 cm and b = 10 cm, find 'a'
(i)
11.00 cm
(ii)
8.00 cm
(iii)
10.00 cm
(iv)
9.00 cm
(v)
12.00 cm
Assignment Key
1) (ii)
2) (v)
3) (iv)
4) (v)
5) (i)
6) (iii)
7) (ii)
8) (iv)
9) (iii)
10) (ii)
11) (v)
12) (iv)
13) (iv)
14) (v)
15) (v)
16) (ii)
17) (iii)
