MCQ Questions for Class 6 Maths Basic Geometrical Ideas Quiz 6

In the given figure.
Line

$AB$ and

$ED$ intersect at

$C$

0%
True
0%
False

Explanation

Clearly from the given figure, we can conclude that lines

$AC$ and

$ED$ are parallel lines.

Also we know that parallel lines never intersect each other. Therefore, the lines

$AC$ and

$BD$ will not intersect.

Hence, given statement is false.

Where does the vertex of an angle lie?

0%
In its interior
0%
In its exterior
0%
On the angle
0%
None of these

The number of diagonals in a spetagon is

0%
$21$
0%
$42$
0%
$7$
0%
$14$

Explanation

Number of the diagonal in a polygon, where

$n$ isnumber of side of a polygon is

$\cfrac{n(n-3)}2$
Septagon has

$7$ sides, number of sides in a septagon

$n=7$

$\therefore\text{Number of diagonals in septagon}= \cfrac { 7(7-3) }{ 2 } =\cfrac { 7\times 4 }{ 2 } = 7\times 2=14$

So, option

$D$ is correct.

The number of angles in figure is

0%
$3$
0%
$4$
0%
$5$
0%
$6$

Explanation

Possible angle form by given figure are

$\angle AOB,\angle AOC,\angle AOD,\\\angle BOC,\\\angle BOD,\angle COD$ .

So, there are total

$6$ total angles formed

Hence, option

$D$ is correct

1636237_1788644_ans_11a1311173574782a0b1924774798dd9.png

In figure,

$\angle XYZ$ cannot be written as

0%
$\angle Y$
0%
$\angle ZXY$
0%
$\angle ZYX$
0%
$\angle XYP$

Explanation

$\angle XYZ$ can be written as

$\angle XYP,\angle XYZ,\angle Y,\angle ZYX,\angle PYX\quad$

They all represent same angle with different naming style.

But,

$\angle ZXY$ does not represent this angle, it is other angle because there is

$X$ in center of this angle.

So, option

$B$ is correct.

Number of line segments in figure is

0%
$5$
0%
$10$
0%
$15$
0%
$20$

Explanation

$\textbf{Finding the number of line segments:}$

Shortest distance between two points is known as the line segment.

In the given figure distinct line segments are, AB, AC, AD, AE, BC, BD, BE, CD, CE and DE which are 10 in total.

$\textbf{Hence, option B is correct.}$

State true or false:

A polygon having 6 sides is called an octagon.

0%
True
0%
False

If the arms of an angle on the paper are increased, the angles increases

0%
True
0%
False

Explanation

Let us consider an example of ∠POB.

As the length of the arm, OP is increased to OA such that, OA= 2OP still the ∠POB remains the same.

So, we can conclude that, the measure of an angle doesn’t depend upon the length of the arm/rays from which it has been formed.

Hence, if the arms of an angle on the paper are increased, then the angle does not increase.

$\textbf{Therefore, the given statement is false.}$

A polygon has a prime number of sides. Its number of sides is equal to the sum of the two least consecutive primes. The number of diagonals of the polygon is

0%
$4$
0%
$5$
0%
$7$
0%
$10$

Explanation

Given

Number of sides in the polygon

$=$ sum of the two least consecutive primes

$=2+3$ (

$\because$

$2$ and

$3$ are least consecutive prime number)

$=5$
We know that

The number of diagonal

$=\dfrac { n(n-3) }{ 2 }$ where,

$n=$ no. of sides

$= \dfrac { 5\times (5-3) }{ 2 } =5$

If the arms of an angle on the paper are decreased, the angle decreases

0%
True
0%
False

Explanation

Let us consider an example of ∠AOB.

As the length of the arm, OA is decreased to OP such that, OA= 2OP still the ∠AOB remains the same.

So, we can conclude that the measure of an angle doesn’t depend upon the length of the arm/rays from which it has been formed.

Hence, if the arms of an angle on the paper are decreased, then the angle does not decrease.

$\textbf{Therefore, the given statement is false.}$

State true or false:

Two line segments may intersect at two points.

0%
True
0%
False

Explanation

Line l and m intersect at one and only one unique point and after the point of intersection separation between the lines keep on increasing which nullifies the chance of meeting again.

Hence, we can clearly say that two-line segments can never intersect each other at more than 1 point.

$\textbf{Therefore, the given statement is false.}$

State true or false:

Many lines can pass through two given points.

0%
True
0%
False

Explanation

Only one line can pass through two given points because if we try to make more than one line eventually, we will observe that both the lines are the same.

$\textbf{Therefore, the given statement is false.}$

If line

$PQ\parallel$ line

$m$ , then line segment

$PQ\parallel$ m

0%
True
0%
False

Explanation

$\textbf {If a line is parallel to another line, then any part of that will be parallel to another line as well.}$

Hence, if the line PQ | | line m, then line segment PQ | | m.

$\textbf{Therefore, the given statement is true.}$

In Fig. which of the following is a regular polygon?

0%
(i)
0%
(ii)
0%
(iii)
0%
(iv)

Explanation

Option

$B$ is right

For a regular polygon, all sides and all angle must be equal to each other.

And, only figure

$(ii)$ follows this condition.

Two angles can have exactly five points in common

0%
True
0%
False

The closed curve which is also a polygon is

Explanation

A polygon is a simple closed curve made up of line segments. Hence, option

$A$ is correct.

Boundaries of surfaces are:

0%
surfaces
0%
curves
0%
lines
0%
points

How many diagonals does a hexagon have ?

0%
$9$
0%
$8$
0%
$2$
0%
$6$

Explanation

The polygon of

$n$ sides

$= \dfrac{n(n - 3)}{2}$

Hexagon has

$6$ sides

$= \dfrac{6 (6 - 3)}{2} = 9$

A line segment is the shortest distance between any two given points.

0%
True
0%
False

The pair of adjacent sides in the given quadrilateral is ___.

0%
AB, BC
0%
AB, CD
0%
BC, AD
0%
None of these.

Which of the given figures is a quadrilateral?

0%
0%
0%
0%
none of the above

Which two triangles have

$\angle B$ as common?

0%
$\triangle ABD \ and \ \triangle ADC$
0%
$\triangle ABD \ and \ \triangle ABC$
0%
$\triangle ABC \ and \ \triangle ADC$
0%
None of these.

Some of the angles in the given figure are

0%
$\angle DBE$
0%
$\angle ACE$
0%
$\angle BDC$
0%
$\angle BCA$

Identify all the triangles in the given figure.

0%
ABC
0%
DEB
0%
BCD
0%
ADC

Following is pair of opposite sides in the given quadrilateral.

0%
AB, BC
0%
BC, AD
0%
AB, CD
0%
BC, CD

In the given figure,

$r$ represents

0%
Radius
0%
Diameter
0%
Tangent
0%
Chord

Explanation

${\textbf{Step -1: Find r.}}$

${\text{The distance from the center point to any point on the circle is called the radius of a circle}}$

${\text{Here, r is the radius in the figure.}}$

${\textbf{Hence, the correct answer is option A.}}$

In the adjoining figure,

$18 in$ is the length of

0%
Radius
0%
Diameter
0%
Any chord other than the diameter
0%
None of these

The center of the circle lies

0%
in the interior of the circle
0%
in the exterior of the circle
0%
on the circle
0%
None of these

The shaded portion of the circle represents

0%
Semicircle
0%
Diameter
0%
A sector of the circle
0%
Segment

A chord divides a circle into two

0%
Diameter
0%
Semicircle
0%
Sectors
0%
Segments

CBSE Questions for Class 6 Maths Basic Geometrical Ideas Quiz 6 - MCQExams.com

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Practice Class 6 Maths Quiz Questions and Answers

CBSE Questions for Class 6 Maths Basic Geometrical Ideas Quiz 6 - MCQExams.com

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Practice Class 6 Maths Quiz Questions and Answers

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