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CBSE Questions for Class 8 Maths Understanding Quadrilaterals Quiz 11 - MCQExams.com
CBSE
Class 8 Maths
Understanding Quadrilaterals
Quiz 11
A parallelogram and a triangle stand on the same side of the base with the same base and on the same side of the base with the same height. If
l
1
,
l
2
be the perimeters of the parallelogram and the rectangle respectively, then the which one of the following is correct?
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0%
l
1
<
l
2
0%
l
1
=
l
2
0%
l
1
>
l
2
but
l
1
≠
2
l
2
0%
l
1
=
2
l
2
A school was having 4 Hexagonal buildings joined to each other. They wanted to utilize the space between the 4 buildings to make a playground. The shape is that of a parallelogram. Can you find the measure of the angles as opposite angles are equal?
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0%
60
o
,
120
o
0%
20
o
,
60
o
0%
80
o
,
120
o
0%
40
o
,
40
o
Explanation
x
and
y
are exterior angles of the regular polygon.
360
6
=
60
i.e value of
x
angle
Opposite angles are
60
o
+
60
o
360
o
−
120
o
(
60
o
+
60
o
)
360
o
=
60
o
+
60
o
+
y
+
y
2
y
=
360
o
−
120
o
y
=
240
o
2
y
=
120
o
Therefore, option A is the correct answer.
Classify the following into open and closed curves
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0%
Open (b,p,r) Closed ( a,c,q)
0%
Open (b,q ,c) Closed (a,p,r)
0%
Open (p,q,a ) Closed (r,c,b)
0%
Open (r,b,a) closed (p,q,c)
Which of the following statement(s) is/ are correct?
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0%
A parallelogram in which two adjacent angles are equal is a rectangle
0%
A quadrilateral in which both pairs of opposite angles are equal is parallelogram
0%
In a parallelogram the number of acute angles is two
0%
All of these
A parallelogram with all equal sides are called _________.
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0%
Rhombus
0%
Rectangle
0%
Polygon
0%
None of these
Select the CORRECT match. (A) (B)
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0%
Two pairs of parallel sides - Trapezium
0%
A rhombus with 4 right angles - Rectangle
0%
Parallelogram with 4 right angles - Rectangle
0%
Diagonals are perpendicular to one another -
Trapezium
In the given figure, ABCD is a parallelogram, AL
⊥
BC, AM
⊥
CD, AL
=
4
cm and AM
=
5
cm. If BC
=
6.5
cm, then find CD.
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0%
5.2
cm
0%
8.7
cm
0%
6.5
cm
0%
3.3
cm
Which of the following closed plane figures is/are not polygons?
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0%
0%
0%
0%
Fill in the blanks.
Any drawing ( straight or non-Straight) done without lifting the pencil may be a_____P_____. A____Q____is the one that does not cross itself . A curve is said to be ___R__ if its ends are joined. A____S___is a simple closed curve made up of lines segments.
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0%
P-Curve, Q-Open curve, R-Closed, S-Line
0%
P-Line, Q-Curve, R-Open, S-Line
0%
P-Curve, Q-Simple curve, R-Closed, S-Polygon
0%
P-Curved, Q-Closed curve, R-Open, S-Circle
In the given figure, if
T
S
|
|
Q
V
,
S
V
|
|
T
Q
,
∠
Q
R
S
=
115
∘
, then
∠
T
Q
R
is equal to
Report Question
0%
65
∘
0%
115
∘
0%
45
∘
0%
25
∘
Explanation
Given, A parallelogram
Q
T
S
V
,
∠
Q
R
S
=
115
∘
From parallelogram
∠
S
+
∠
V
=
180
∘
Because
T
S
∥
Q
V
So,
90
∘
+
∠
V
=
180
∠
V
=
90
∘
similarity
∠
T
Q
V
+
∠
V
=
180
∘
so,
∠
T
Q
V
=
90
∘
∠
T
R
Q
=
180
−
∠
Q
R
S
=
180
−
115
=
65
∘
Now we know that alternate angle will be equal as
R
Q
is transversal to
T
S
∥
Q
V
so,
∠
T
R
Q
=
∠
R
Q
V
=
65
∘
But
∠
T
Q
V
=
90
⇒
∠
R
Q
V
+
∠
T
Q
R
=
90
∘
∠
T
Q
R
=
90
−
65
∠
T
Q
R
=
25
∘
option
−
D
The length of the diagonal
B
D
of the parallelogram
A
B
C
D
is
18
c
m
. If
p
and
Q
are the Centroid of the
△
A
B
C
and
△
A
D
C
respectively then length of the line segment
P
Q
is:
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0%
4
c
m
0%
6
c
m
0%
9
c
m
0%
12
c
m
p
is a point in the interior of
∥
g
m
A
B
C
D
. If the area of
∥
g
m
A
B
C
D
is
60
c
m
2
.
a
r
(
△
A
D
P
)
+
a
r
(
△
B
P
C
)
=
Report Question
0%
15
c
m
2
0%
30
c
m
2
0%
45
c
m
2
0%
20
c
m
2
Explanation
In parallelogram ABCD, in quadrilateral AEFD,
In
Δ
A
P
D
and quadrilateral AEFD lie on same base between same parallels AD & EF.
∴
a
r
(
Δ
A
D
P
)
=
1
2
a
r
(
Δ
E
F
D
)
In
Δ
B
P
C
and quadrilateral EFCB lie on same base between same parallel EF & BC.
∴
a
r
(
Δ
B
P
C
)
=
1
2
a
r
(
E
F
C
B
)
Now,
a
r
(
Δ
A
D
P
)
+
a
r
(
Δ
B
P
C
)
=
1
2
a
r
(
A
E
F
D
)
+
1
2
a
r
(
E
F
C
B
)
=
1
2
a
r
(
A
B
C
D
)
.
=
1
2
×
60
c
m
2
=
30
c
m
2
.
A
B
C
D
is a parallelogram
P
is a point of
A
D
such that
A
P
A
D
=
1
2015
.
Q
is the point of intersection of
A
C
and
B
P
. Then
A
Q
A
C
=
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0%
2000
2016
0%
2015
2016
0%
2018
2016
0%
1
2016
The following figure shows a ABCD in which AB is quarlled to DC and AD=BC
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0%
∠
D
A
B
=
∠
C
B
A
0%
∠
A
D
C
=
∠
B
C
D
0%
A
D
C
=
B
D
0%
O
A
=
O
B
A
N
D
O
C
=
O
D
A
B
C
D
is a parallelogram.
A
P
bisects
∠
A
and
C
Q
bisects
∠
C
.
P
lies on
C
D
and Q lies on
A
B
.
Then
Report Question
0%
A
B
∥
C
Q
0%
A
P
∥
C
Q
0%
A
Q
∥
B
C
0%
None of these
A parallelogram, the lengths of whose sides are 11 cm and 13 cm, has one diagonal 20 cm, long the length of another diagonal is
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0%
12 cm
0%
20 cm
0%
66 cm
0%
25 cm
The two adjacent sides of a parallelogram are 4 cm and 9 cm. The ratio of its altitude is
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0%
21 : 22
0%
4 : 9
0%
16 : 81
0%
11 : 37
In the given figure, ABCD is a parallelogram,
∠
A
D
E
=
50
∘
and
∠
A
C
E
=
∠
B
E
D
=
90
∘
.
The value of
∠
E
A
C
+
∠
A
B
C
−
2
∠
D
A
C
is
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0%
20
∘
0%
10
∘
0%
30
∘
0%
40
∘
In the given figure, ABCD is a parallelogram such that AB||CD and AD||BC with opposite angles equal. If DA=DX, then find the values of
∠
m
and
∠
n
.
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0%
m
=
24
∘
.
n
=
34
∘
.
0%
m
=
24
∘
.
n
=
24
∘
.
0%
m
=
34
∘
.
n
=
24
∘
.
0%
m
=
34
∘
.
n
=
34
∘
.
In the given figure, ABCD is a parallelogram. If AB = 12 cm, AE = 7.5 cm, CF = 15 cm then AD =
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0%
3 cm
0%
6 cm
0%
8 cm
0%
10.5 cm
ABCD is a parallelogram, AB=14 cm, BC=18 cm and AC=16 cm, then the length of the diagonal is_
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0%
24cm
0%
36cm
0%
28cm
0%
32cm
The altitude of a parallelogram is twice of the length of the base and its area is 900
c
m
2
. The length of base and altitude respectively are
Report Question
0%
15
√
2
c
m
,
30
√
2
c
m
0%
25
√
2
c
m
,
35
√
2
c
m
0%
45
√
2
c
m
,
55
√
2
c
m
0%
65
√
2
c
m
,
75
√
2
c
m
In the given figure ,
A
B
C
D
and
B
D
C
E
are parallelograms with common base
D
C
. If
B
C
⊥
B
D
, then
∠
B
E
C
=
Report Question
0%
60
∘
0%
30
∘
0%
150
∘
0%
120
∘
Explanation
∠
B
A
D
=
30
∘
∠
B
C
D
=
30
∘
[Opposite angles of parallelogram equal]
Now,, in
Δ
C
B
D
,
∠
D
B
C
+
∠
B
C
D
+
∠
C
D
B
=
180
∘
⇒
90
∘
+
30
∘
+
∠
C
D
B
=
180
∘
⇒
C
D
B
=
60
∘
∴
∠
B
E
C
=
60
∘
[Opposite angles are equal]
(A)
60
∘
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