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CBSE Questions for Class 6 Maths Basic Geometrical Ideas Quiz 5 - MCQExams.com
CBSE
Class 6 Maths
Basic Geometrical Ideas
Quiz 5
The two rays of an angle are called the _______.
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lines of the angle
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two sides of the angle
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two parts of the angle
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none
Explanation
The two rays of an angle are also called the $$2$$ sides of the angle.
How many simple closed curves are there?
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2
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3
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4
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5
Explanation
$$ A\quad simple\quad closed\quad curve\quad encloses\quad a\quad single\quad area \quad and \quad do \quad not\quad have \quad intersecting \quad lines.\\ Here\quad in\quad each\quad of\quad the\quad figures\quad 1,\quad 2,\quad 5,\quad 6,\quad 7\quad a\quad single\quad area\\ is\quad enclosed.\\ But\quad in\quad each\quad of\quad the\quad figures\quad 3,\quad 4,\quad 8\quad more\quad than\quad one\quad area\\ are\quad enclosed.\\ So\quad each\quad of\quad the\quad figures\quad 1,\quad 2,\quad 5,\quad 6,\quad 7\quad is\quad a\quad simple\quad closed \quad curve.\\ $$
The number of simple closed curves is thus $$5$$
Which of the following statement is true?
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Every ray has a definite length
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Every line has a definite length
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Every line segment has a definite length
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None of these
Explanation
A line segment has two end points. A line has no end point. A line-segment has a definite length. But a line does not have definite length.
State true or false:
A circle of radius $$3$$cm can be drawn through two points $$A, B$$ such that $$AB = 6$$ cm.
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False
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True
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Cannot be determined
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None of the above
Explanation
We know, diameter of a circle $$=2\times$$ radius of the circle.
A circle with $$AB=6cm$$ as diameter will have its radius equal to $$3cm$$.
So option $$B$$ is the right answer.
Which of the following closed plane figures is/are not polygon(s)?
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Explanation
A polygon has straight sides only, not curved sides. Hence, D option is not a polygon.
Which of the following statement(s) is/are false with respect to quadrilateral?
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Each diagonal of a quadrilateral divides it into two triangles.
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Each side of a quadrilateral is less than the sum of the remaining three sides.
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A quadrilateral can at-most have three obtuse angles.
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A quadrilateral has four diagonals.
Explanation
Option A is true. As each diagonal of a quadrilateral divides it into two triangles.
Option B is also correct as it is not possible to construct a quadrilateral with one side greater than the sum of three other sides.
Option C is also true. A quadrilateral can at most have three obtuse angles. All the four angles cannot be obtuse and sum of 4 angles of a quadrilateral is $$360^\circ$$.
Option D is incorrect. A quadrilateral does not have four diagonals.
A quadrilateral has exactly two diagonals.
So, option (D) is false
The portion of a circle between two radii and an arc is called
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Sector
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Segment
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Chord
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Secant
Explanation
Sector of a circle is the portion of a disk enclosed by two radii and an arc. The smaller area is known as the minor sector and the larger as the major sector.
So option A is the correct answer.
Which of the following is/are an example(s) of simple closed curve?
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Circle
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Rectangle
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Square
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All of the above
Explanation
A curve that does not cross itself and ends at the same point where it begins, is called a simple closed curve.
Therefore, $$D$$ is the correct answer.
State true(T) or false(F).
Point A is the interior of $$\angle AOD$$.
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True
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False
Explanation
Clearly from the given figure, we can say that point A is on $$AOD$$.
So given statement is false.
Which one among the given figures can be called as a line?
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Figure $$1$$
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Figure $$2$$
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Figure $$3$$
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Figure $$4$$
Explanation
A line is a straight path, having no bends and extends infinitely on both the sides or we can say that a line is a path having no end points.
Thus a line has no fixed length.
Therefore, among the given figures, only figure $$1$$ represents a line.
Hence, $$Op-A$$ is correct.
Name the figure drawn below
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Line segment AB
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Line AB
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Ray AB
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None of these
Explanation
As we know that line segment is path having two end points on both the sides and thus it has fixed length.
Hence, A will be correct answer.
Tick these figures which are simple closed curves.
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Three or more lines are ______, if they pass through a common point.
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Parallel
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Collinear
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Intersecting
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All of these
The two rays of an angle are called _____ of the angles.
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Lines
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Two arms
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Two parts
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None of these
A pair of lines which do not intersect a point is called _______ lines.
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Perpendicular
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Parallel
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Concurrent
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Intersecting
If the perimeter and the area of a circle are numerically equal, then the radius of the circle is
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$$2\ units$$
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$$p\ units$$
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$$4\ units$$
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$$7\ units$$
Explanation
Given,
Numerically perimete of the circle is equal to area of circle
$$\Rightarrow 2\pi r=\pi r^2$$
$$\Rightarrow 2=r$$
$$\therefore r=2$$
Which of the following is line segment?
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0%
0%
0%
Explanation
A line segment is a straight path, having no bends and has two end points
.
Thus a line segment has a definite length.
Hence, A will be correct answer.
The geometric shape that has no corners is _____.
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square
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circle
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rectangle
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hexagon
Explanation
The geometric shape which has no corners is circle.
Consider the given figure of line $$\overleftrightarrow{MN}$$.
Say whether following statement is True or False in context of the given figure.
$$M$$ is one of the end points of line segment $$\overline{QO}$$.
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True
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False
Explanation
Step 1: False
In the line segment $$\overline{QO},$$
$$Q$$ and $$O$$ are the endpoints.
Therefore, the given statement is false.
Consider the given figure of line $$\overleftrightarrow{MN}$$.
Say whether following statement is True or False in context of the given figure.
$$M$$ and $$N$$ are end points of the segment $$\overline{MN}$$.
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True
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False
Explanation
Step 1: True
Given line $$\overline{MN}$$ represents the line segment. Therefore,
$$M$$ and $$N$$ are its endpoints.
Hence, the given statement is true.
Consider the given figure of line $$\overleftrightarrow{MN}$$.
Say whether following statement is True or False in context of the given figure.
M, O, N are points on a line segment $$\overline{MN}$$.
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True
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False
Explanation
Step 1: True
Here, line segment $$\overline{MN}$$ is from point $$M$$ to point $$N$$. Therefore
, points $$M,O,N$$ lie on it.
State whether following statement is true or false:
No two parallel segment intersect.
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True
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False
Explanation
We know that parallel lines never intersect each other and hence parallel line segments also not intersect.
Hence, given statement is true.
State whether following statement is true or false:
The nearer a chord to the centre of a circle, the longer is its length.
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True
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False
Explanation
As the chord moves nearer to the centre of the circle. Its length clearly increases.
So Given statement is true.
State the following statement is true(T) or false(F).
If two lines intersect at a point P, then P is called the point of intersection of the two lines.
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True
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False
Explanation
If 2 lines are intersecting at a point , the point is called Point of Intersection.
State true(T) or false(F).
Point B is the interior of $$\angle AOC$$.
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True
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False
Explanation
Clearly from given figure, we can say that point B is inside of $$\angle AOC$$.
So given statement is true.
State true(T) or false(F).
Point B is in the interior of $$\angle AOB$$.
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True
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False
Explanation
Clearly from the given figure, we can say that point $$B$$ is on $$\angle AOB$$.
So given statement is false.
State true(T) or false(F):
The vertex of an angle lies on it.
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True
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False
Explanation
Vertex (O) neither lies outside nor inside $$\angle AOB$$. I
t lies on $$\angle AOB$$.
Hence, given statement is true.
State true(T) or false(F).
Point D is the exterior of $$\angle AOC$$.
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True
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False
Explanation
Clearly from the given figure, point D lies outside $$\angle AOC$$
Hence, given statement is true.
Plane figure with five sides is known as
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octagon
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hexagon
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pentagon
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none of these
Explanation
A plane figure can be made of straight lines, curved lines, or both straight and curved lines. Pentagon is a plane figure which is made up of five line segments.
Hence, C will be correct answer.
Plane figure with three sides is called
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rectangle
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triangle
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quadrilateral
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none of these
Explanation
A plane figure can be made of straight lines, curved lines, or both straight and curved lines.
Triangle is a plane figure which is made up of three line segments or sides.
Hence, B will be correct answer.
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