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
△CDE
,
F
is the mid-point of
CD
and
FG
∥
DE
,
then
CG
=
(i)
EC
2
(ii)
CF
(iii)
DE
2
(iv)
CD
2
(v)
DE
Question
2
2.
In the given figure
△FGH
,
I
is the mid-point of
FG
and
IJ
∥
GH
,
then
FI
=
(i)
GH
2
(ii)
FJ
(iii)
FG
2
(iv)
HF
2
(v)
GH
Question
3
3.
In the given figure
△ABC
,
D
is the mid-point of
AB
and
DE
∥
BC
,
then
AD
=
(i)
AE
(ii)
AB
(iii)
CA
(iv)
EC
(v)
DB
Question
4
4.
In the given figure
△FGH
,
I
is the mid-point of
FG
and
IJ
∥
GH
,
then
IG
=
(i)
JH
(ii)
HF
(iii)
FG
(iv)
FJ
(v)
FI
Question
5
5.
In the given figure
△FGH
,
I
is the mid-point of
FG
and
IJ
∥
GH
,
then
FJ
=
(i)
FG
(ii)
IG
(iii)
HF
(iv)
FI
(v)
JH
Question
6
6.
In the given figure
△BCD
,
E
is the mid-point of
BC
and
EF
∥
CD
,
then
FD
=
(i)
BC
(ii)
BE
(iii)
EC
(iv)
BF
(v)
DB
Question
7
7.
CDEF is a rhombus. N, O, P and Q are mid-points of sides CD, DE, EF and FC. Find ∠OPQ
(i)
89°
(ii)
90°
(iii)
88°
(iv)
92°
(v)
91°
Question
8
8.
In the given figure, EFGH is a parallelogram
such that
I
and
J
are mid-points of sides
EF
&
GH
.
EJ
meets
FH
at
Q
and
GI
meets
FH
at
R
. Given
FH
=
16 cm
, find
QH
(i)
5.33 cm
(ii)
4.33 cm
(iii)
3.33 cm
(iv)
7.33 cm
(v)
6.33 cm
Question
9
9.
In the given figure, DEFG is a parallelogram such that P is the mid-point of DE and DE = 2GD. Find ∠GPF
(i)
90°
(ii)
92°
(iii)
89°
(iv)
88°
(v)
91°
Question
10
10.
In the given figure, KLMN is a trapezium. O and P are mid-points of KN and LM.Given OP = 14.5 cm and MN = 9 cm, find KL
(i)
22.0 cm
(ii)
18.0 cm
(iii)
20.0 cm
(iv)
19.0 cm
(v)
21.0 cm
Question
11
11.
In the given figure, △LMN is a triangle.
O
,
P
&
Q
are mid-points of
MN
,
NL
&
LM
respectively.
Given
OP = 8 cm
,
PQ = 10 cm
&
QO = 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, HIJK is a parallelogram. The bisector of the angles H, I, J & K intersect at R, S, T & U to form a quadrilateral. Find ∠URS
(i)
91°
(ii)
88°
(iii)
89°
(iv)
90°
(v)
92°
Question
13
13.
In the given figure, l, m & n are three straight lines such that AF ∥ BE ∥ CD and DP ∥ EQ ∥ FR.Given y = 12 cm, x = 8 cm and b = 6.67 cm, find 'a'
(i)
12.00 cm
(ii)
9.00 cm
(iii)
8.00 cm
(iv)
11.00 cm
(v)
10.00 cm
Assignment Key
1) (i)
2) (iii)
3) (v)
4) (v)
5) (v)
6) (iv)
7) (ii)
8) (i)
9) (i)
10) (iii)
11) (v)
12) (iv)
13) (v)
