It is a shape or a line which is smoothly drawn in a plane having a bent or turns in it.

MCQ Questions for Class 8 Maths Understanding Quadrilaterals Quiz 2

Two adjacent sides of a parallelogram are

$6$ cm and

$8$ cm. Its perimeter is

0%
$28$ cm
0%
$26$ cm
0%
$14$ cm
0%
None of these

Explanation

perimeter of ll gm

$=$ sum of all sides

$=8 + 8 + 6 + 6$

$=28$ cm.

Number of pairs of parallel lines in a trapezium is:

0%
$1$
0%
$2$
0%
$3$
0%
$4$

Explanation

A trapezium has one pair of parallel lines as shown in the figure. So option

$A$ is correct.

Explain how square is a parallelogram.

0%
sum of all angles is $90^o$
0%
All angles are equal
0%
Opposites sides are parallel
0%
None of these

Explanation

$\Rightarrow$ A parallelogram is a quadrilateral with two pairs of opposite sides.

$\Rightarrow$ In square we know that, all sides are equal which means opposite sides are equal.

$\Rightarrow$ And in square opposite sides are parallel.

1250204_301420_ans_9811a9cab0bb44f687abccb1fedd260f.jpeg

$AB=DC=8 cm, AD=4 cm$ what should be the length of side

$BC$ , if

$ABCD$ is parallelogram

0%
$4cm$
0%
$8cm$
0%
$16cm$
0%
None of the above

Explanation

$ABCD$ is parallelogram so opposite sides should be equal

$\Rightarrow AD=BC$

$\therefore BC=4cm$

The ratio of measures of opposite angles of any parallelogram is

0%
$1 : 2$
0%
$1 : 1$
0%
$2 : 3$
0%
$1 : 3$

Explanation

According to the definition of a parallelogram, opposite angles of any parallelogram are congruent.

In any parallelogram

$ABCD,\ \ \angle A=\angle C$ , and

$\angle B=\angle D.$

Hence, the ratio of opposite angles of any parallelogram is

$1:1.$

Can a quadrilateral ABCD be a parallelogram if

$\angle A=70^o$ and

$\angle C=65^o$

0%
True
0%
False

Explanation

Since

$\angle A \not= \angle C$ , i.e., the opposite angles are unequal, so ABCD is not a parallelogram.

State true or false:

PQRS is a parallelogram and

$\angle 1$ and

$\angle 2$ are two exterior,angles, then

$\angle 1=\angle 2$

0%
True
0%
False

Explanation

$\quad PQRS\quad is\quad given\quad parallelogram\quad \\ \angle 1+\angle QRS\quad =\quad 180(Linear\quad pair\quad of\quad angles)......(1)\\ \quad \angle 2\quad +\quad \angle SPQ\quad =\quad 180(Linear\quad pair\quad of\quad angles).......(2)\\ also,\quad \angle QRS\quad =\quad \angle SPQ\quad (opposite\quad angles\quad of\quad \parallel gram\quad are\quad equal).......(3)\\ \Longrightarrow \angle 1\quad +\quad \angle SPQ\quad =\quad 180(From\quad (3)\quad ..........(4)\quad \quad \\ Subtracting\quad eq(2)\quad and\quad eq(4)\quad we\quad get\\ \Longrightarrow \angle 1\quad -\angle 2\quad =\quad 0\\ \Longrightarrow \angle 1\quad =\quad \angle 2\\ Hence\quad proved$ \\

The diagonals of a parallelogram ABCD intersect at O. If

$\angle BOC =90^o$ and

$\angle BDC = 50^o$ , then

$\angle AOB$ is

0%
$10^o$
0%
$40^o$
0%
$50^o$
0%
$90^o$

Explanation

It is given that angle BOC = 90.

It means the diagonals cut each other at a right angle.

Angle AOB= 180- Angle BOC =90

So, angle AOB = angle BOC = 90.

So the correct answer is option D.

The data that

$\angle BDC = 50^{\circ}$ is not required.

In a parallelogram ABCD, AB > AD. Then

0%
$\displaystyle \angle ADB=\angle DBC$
0%
$\displaystyle \angle CBD=\angle DAB$
0%
$\displaystyle \angle ADB<\angle BDC$
0%
$\displaystyle \angle ADB>\angle BDC$

Explanation

$\displaystyle AB>AD$

$\displaystyle \therefore \quad \angle ADB>\angle ABD$ (angle opposite to longer side is greater)

$\displaystyle \therefore \quad \angle ADB>\angle BDC$ (

$\displaystyle \because \quad \angle ABD=\angle BDC$ as ABCD is a parallelogram)

1294534_378290_ans_fe81e73bb5c84370b6df5c08451da907.jpg

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram

0%
$90^o$
0%
$120^o$
0%
$70^o$
0%
$80^o$

Explanation

Let

$ABCD$ be the parallelogram with

$\angle A=\angle B.$

We know, sum of adjacent angles of parallelogram is

$180^o.$

$\Rightarrow$

$\angle A+\angle B=180^o$

$\Rightarrow$

$2\angle A=180^o$ [ Since,

$\angle A=\angle B$ ]

$\Rightarrow$

$\angle A=90^o$

$\Rightarrow$

$\angle B=\angle A=90^o$

$\Rightarrow$

$\angle A=\angle C=90^o$ [ Opposite angles of parallelogram ]

$\Rightarrow$

$\angle B=\angle D=90^o$ [ Opposite angles of parallelogram ]

$\therefore$ Each angle of the parallelogram measures is

$90^o.$

1246807_301397_ans_0e54a8d46b774ba984e262f8abd2b2f6.png

What is a curve?

0%
It is an angle
0%
It is a polygon
0%
It is a quadrilateral
0%
It is a shape or a line which is smoothly drawn in a plane having a bent or turns in it.

Which of the following is an example of an open curve?

0%
Circle
0%
Triangle
0%
A line segment
0%
Pentagon

The diagonals of a convex polygon are always in the ______ of the polygon.

0%
interior
0%
exterior
0%
Either
0%
None of these

Explanation

The angles are less than

$180^o$ and the vertices of a polygon with points outward. While joining two vertices they will move inwards i.e the diagonal.
Therefore, A is the correct answer.

The vertices of a convex polygon point are .....................

0%
outwards
0%
inwards
0%
middle
0%
extreme corner

Explanation

As the angles of a convex polygon are less than

$180^o$ , the vertices points outwards.
Therefore, A is the correct answer.

A closed curve has no _____.

0%
joints
0%
starting point
0%
end point
0%
All of the above

When you draw without lifting your pencil or pen on a paper you get?

0%
Plane curve
0%
Plane shadow
0%
3-dimension
0%
Line

A curve which has 2 end points is called an .....................

0%
closed curve
0%
simple curve
0%
open curve
0%
None of the above

The closed curve that crosses _____ is not a simple closed curve.

0%
twice
0%
itself
0%
multiple points
0%
All of the above

Explanation

The closed curve that doesn't crosses itself is a simple closed curve.

So, the closed curve that crosses itself is not a simple closed curve.
Therefore,

$Op-B$ is the correct answer.

Convex polygon does not have portions of their diagonals in their ................. .

0%
exterior
0%
interior
0%
edges
0%
boundary

A parallelogram is a quadrilateral whose ...................... sides are parallel.

0%
adjacent
0%
congruent
0%
opposite
0%
linear

Explanation

A parallelogram is a quadrilateral which has

$4$ sides whose opposite sides are equal and parallel. It has

$2$ pairs of parallel and equal sides.
Therefore, C is the correct answer.

A polygon with at least one .................. angle is called concave polygon.

0%
obtuse angle
0%
acute
0%
reflex
0%
straight

Explanation

A polygon having at least 1 angle more than

$180^o$ and vertices pointing inwards is called a concave polygon.
Therefore, C is the correct answer.

A concave polygon has .................... interior angles more than

$180^o$ .

0%
no
0%
3 angles
0%
one or more
0%
less than 5

Explanation

All angles less than

$180^o$ is a convex polygon. Convex is opposite of concave, so at least one angle has to be more than

$180^o$ to be a concave polygon.
Therefore, C is the correct answer.

A parallelogram each of whose angle measures

$90^\circ$ is

0%
Rectangle
0%
Rhombus
0%
Triangle
0%
Trapezium

Explanation

In a parallelogram,

Both the pair of opposite sides are of equal length.

Opposite angles are equal and two adjacent angles are supplementary.

A rectangle is a parallelogram, in which each angle measures

$90^{o}$ .

Hence, a parallelogram each of whose angle measures

$90^{o}$ is a rectangle.

Name the parallel sides in the given parallelogram.

0%
$EF \parallel HG$
0%
$EH \parallel FG$
0%
$EF \parallel SG$
0%
Both A & B

In the given figure, identify the adjacent sides of a parallelogram.

0%
$\overleftrightarrow{AD}$ is adjacent to $\overleftrightarrow{AB}$ & $\overleftrightarrow{DC}$
0%
$\overleftrightarrow{DC}$ is adjacent to $\overleftrightarrow{AD}$ & $\overleftrightarrow{BC}$
0%
$\overleftrightarrow{AB}$ is adjacent to $\overleftrightarrow{AD}$ & $\overleftrightarrow{BC}$
0%
All of the above

Explanation

In a parallelogram, the sides which are parallel are called as pair of opposite sides and others are adjacent to the first side.

In parallelogram

$ABCD$ , the pair of opposite sides are

$AB, CD$ and

$AD, BC$ .

$\therefore$

$AD$ is adjacent to

$AB$ and

$DC$

$DC$ is adjacent to

$AD$ and

$BC$

$AB$ is adjacent to

$AD$ and

$BC$ .

Hence, all the above are adjacent sides of a parallelogram.

All parallelograms are quadrilaterals.

0%
True
0%
False

Students in a class were having arguments regarding the properties of the quadrilaterals. Choose the right argument.

0%
Student A - Rectangle is a Kite
0%
Student B - Rectangle is parallelogram
0%
Student C - Rectangle is a square
0%
Student D - Rectangle is a rhombus

Polygons that have no portions of their diagonals in the exterior are called ____

0%
squares.
0%
regular pentagons.
0%
convex polygons.
0%
concave polygons.

Explanation

A convex polygon is defined as a polygon with all its interior angles less than

$180^o$ . This means that all the vertices of the polygon will point outwards, away from the interior of the shape.

Hence all diagonals of

$convex \ polygons$ are

$interior$ .

$Squares$ and

$regular\ pentagons$ are special types of

$convex \ polygons$ .

So option

$C$ is correct

$\overline {AC}$ and

$\overline {BD}$ intersect at O such that

$AO = CO$ and

$BO = DO$ , identify the correct option

0%
$BC = AD$
0%
$BC \parallel AD$ and $BC = AD$
0%
$BC \parallel AD$
0%
None of these

Explanation

By using properties of parallelogram i.e. - diagonals of parallelogram bisects each other . Hence

$ABCD$ is a parallelogram.

$\Rightarrow \boxed{BC||AD}$

1067703_509750_ans_7a2b4aca057042de9c107afc449b300c.png

A rectangle is a .................. quadrilateral.

0%
concave
0%
irregular
0%
convex
0%
none of the above

CBSE Questions for Class 8 Maths Understanding Quadrilaterals Quiz 2 - MCQExams.com

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Practice Class 8 Maths Quiz Questions and Answers

CBSE Questions for Class 8 Maths Understanding Quadrilaterals Quiz 2 - MCQExams.com

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Practice Class 8 Maths Quiz Questions and Answers

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