Important Questions for CBSE Class 6 Maths Chapter 4 - Basic Geometrical Ideas

1 - Marks:

1. A line segment has no length. Say True or False.

Ans: False. (As a line segment has two fixed points. It has a finite length.)

2. The line $\overleftrightarrow {AB}$ is same as that of line $\overleftrightarrow {BA}$. Say true or false.

Ans: True. (Since line $\overleftrightarrow {AB}$ and $\overleftrightarrow {BA}$ are two different methods of writing it.)

3. A _____ has only one end point.

Ans: Ray. (A ray has only one fixed point.)

4. _____ lines can be drawn passing through two given points.

Ans: One. (Only one line can be drawn from two fixed points.)

5. Choose the false statement.

(a) Line \[\overleftrightarrow {PQ}\] is same as that of line $\overleftrightarrow {QP}$

(b) Ray $\overrightarrow {PQ} $ is same as ray $\overrightarrow {QP} $

(c) Line segment $\overline {PQ} $ is same as the line segment $\overline {QP} $

(d) None of these

Ans: Option (b) is false. (As ray $\overrightarrow {PQ} $ has its fixed point at P and ray $\overrightarrow {QP} $ has its fixed point at Q.)

6. Quadrilateral is a polygon formed by _____ line segments.

Ans: Four. (A quadrilateral consists of 4 sides.)

7. Curve in which the starting point and ending points do not meet is called _____curve.

Ans: Open. (In an open curve the starting and ending points do meet each other.)

8. All radii of the circle are equal. Say True or False.

Ans: True. (As the distance between the centre and the circumference is constant.)

9. Diameter of a circle $ = 2 \times $____

Ans: Radius. (Diameter is two times the radius.)

10. _____ is the largest chord.

Ans: Diameter.(A chord is a line which has both its end in the circumference. Diameter is the longest chord as it passes through centre.) 

11. A _____ of a circle is a line segment at the one end point in the centre and other endpoint on circumference.

Ans: Radius (It is the distance between the centre and the circumference.)

Short Answer Type Questions (2 Marks)

1. Identify and Name the line segments and rays.

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Ans:

Line segments (it has two fixed points)

\[ = \overline {EF} ,\overline {EH} ,\overline {BE} \]

Rays (it has only one fixed point)

$ = \overrightarrow {BA} ,\overrightarrow {BC} ,\overrightarrow {ED} ,\overrightarrow {HG} ,\overrightarrow {HI} $

2. Which of the following are polygons?

(a)

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(b)

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(c)

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(d)

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Ans: Simple closed curves are known as polygons, i.e., a closed figure of straight lines which do not overlap itself. Therefore,

(b) and (d) are polygons.

3. Explain concentric circles with diagrams.

Ans: A collection of circles that have the same centre but different radius are called concentric circles.

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Short Answer Type Questions (3 Marks)

1. Define curves. Write its different types with examples.

Ans: When the line segment is not straight then those lines are said to be curved lines.

Types of curves:

(a) Open curve: When the starting point and ending point do not meet one another, it is said to be an open curve.

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(b) Closed curve: When the starting point and ending point meet one another, it is said to be a closed curve.

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2. Name the vertex and arms of $\angle PQR$ in the figure.

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Ans: Vertex is a point from which two or more line arises,

Here point Q is the vertex.

Rays that make up the angle are said to be arms/sides of angle,

Here  \[QP,QR\] are the sides.

3. Define the following w.r.t to circle with figures.

(a) chord of a circle

(b) secant of a circle

Ans:

(a) Chord – A line segment whose both fixed points lie in the circumference.

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(b) Secant of a circle – A line that passes through the circle. It intersects the circumference of the circle at two points.

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Long Answer Type Questions (4 Marks)

1. Define the following:

(a) Intersecting lines

(b) Parallel lines

(c) Concurrent lines

(d) Collinear points

Ans:

(a) Intersecting lines – Two lines that cross one another at a point are called intersecting lines.

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(b) Parallel lines – When two or more lines are always equidistant from one another, i.e., they never intersect one another. Such lines are said to be parallel.

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(c) Concurrent lines – When two or more lines pass through a same point, those lines are said to be concurrent lines. Point of intersection of all the lines is said to be the point of concurrence.

Here, point P is the point of concurrence. 

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(d) Collinear points – If two or more lines lie on the same lie then such points are said to be collinear points.

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2. Match the following:

(a) Triangle (1) 4 sides

(b) Quadrilateral (2) 8 sides

(c) Heptagon     (3) 3 sides

(d) Pentagon     (4) 5 sides

(e) Octagon (5) 10 sides

(f) Hexagon (6) 6 sides

(7) 7 sides 

Ans:

(a) $ - (3)$  As a triangle is a polygon with 3 sides.

(b) $ - (1)$   As a quadrilateral is a polygon with 4 sides.

(c) $ - (7)$   As heptagon is a polygon with 7 sides.

(d) $ - (4)$  As pentagon is a polygon with 5 sides.

(e) $ - (2)$   As an octagon is a polygon with 8 sides.

(f)  $ - (6)$   As a hexagon is a polygon with 6 sides.

3. In the given figure, list the points which

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(a) are interior of $\angle AOB$

(b) are exterior of $\angle AOB$

(c) lie on $\angle AOB$

Ans:

(a) Interior of $\angle AOB$ = point Y, point M, point N

(b) Exterior of $\angle AOB$= point X, point Z

(c) Lie on $\angle AOB$ = point A, point B, point O

4. In the given triangle name the following

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(a) side opposite to $\angle Z$

(b) side opposite to vertex Y

(c) angle opposite to side YZ

(d) vertex opposite to side XZ

Ans:

(a) side XY is opposite to $\angle Z$

(b) side XZ is opposite to vertex Y

(c) $\angle X$is opposite to side YZ 

(d) Y vertex is opposite to side XZ 

Long Answer Type Questions (5 or 6 Marks)

1. Define the following:

(a) Circumference of circle

(b) segments of circle

(c) semicircle

(d) sector of circle

Ans:

(a) Circumference of circle: Length of the boundary of a circle is called its circumference.

(b) segments of circle: When a chord divides a circle in two parts. Then the area in between the chord and the arc are called segments of the circle.

The types of segments are:

(i) major segment

(ii) minor segment

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(c) Semicircle: When a circle is divided by the diameter it is known as a semi-circle.

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(d) Sector of a circle: Area covered by an arc and two radius of a circle.

Two types of sectors:

(i) major sector

(ii) minor sector

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2. Say True or False

(a) Two lines are parallel if they do not meet, even when produced.

(b) Two parallel lines are everywhere the same distance apart.

(c) If two line segments do not intersect, they are parallel.

(d) If two rays do not intersect, they are parallel.

(e) A line between two parallel lines is always perpendicular to each other.

Ans:

(a) True

(b) True

(c) True

(d) True

(e) True

Download Important Questions for Class 6 Maths Chapter 4 For Free

These CBSE Important Questions for Class 6 Maths Chapter 4 will not only help the students to learn the concepts more easily but also help them to revise this chapter more effectively. Several important geometric terms are included in this chapter, which holds extreme importance in the later grades. The topics that are introduced not only will help students to build a strong foundation in geometry but also help them to grasp the higher-level concepts in the later grades easily. Important questions will surely give an idea about what questions can be expected in exams.

The important topics covered in this chapter are:

• Basic Definitions in Geometry

• Polygons

• Triangles

• Quadrilaterals

• About Circles

Basic Definitions in Geometry

Point - It is an exact position and location on a plane surface.

Line Segment - It is the shortest distance between any two points.

Line - A line is obtained, by extending a line segment indefinitely on both sides.

Intersecting Lines - If two distinct lines meet or cross at a point, they are called intersecting lines.

Parallel Lines - Parallel lines are lines that are always the same distance apart and never intersect anywhere in a plane.

Ray - A ray is a line that starts from a particular point and goes infinitely towards a particular direction.

Curve - It is a drawing that is done without lifting the pencil.

Simple Curve - A curve that never crosses itself is a simple curve.

Closed and Open Curves - A curve is closed if its ends are joined. Otherwise, it is an open curve.

Angle - It is made up of two rays which are starting from a common point.

Polygons

A Polygon can be defined as a closed curve that is made up of line segments.

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Important Terms Related to Polygons are listed below:

Sides of a Polygon - The straight line segment are known as the sides of the polygon.

Adjacent Sides - Two points having the same endpoint are called adjacent sides.

Vertex - It is the meeting or intersecting point of a pair of sides.

Diagonal - Diagonal is formed by joining any two non-adjacent vertices of a polygon.

Triangles

A triangle is a polygon that has three line segments or sides.

A triangle ABC is written as △ABC as given:

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In the above triangle AB, BC, and AC are sides of the triangle, and A, B, C are the vertices of the triangle.

Quadrilaterals

A quadrilateral is a four-sided polygon having four edges and four vertices. A diagram of a quadrilateral is shown below for better understanding.

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In the above diagram, AD and DC are examples of adjacent sides. Also, AD and BC are opposite sides.Angle A and angle C are opposite angles of a quadrilateral.

Circles

A circle is a closed figure formed by a set of points in a plane that are located at the same distance from a fixed point which is the centre.

Important terms related to circles are as follows:

Radius - The fixed distance at which the points are located from the centre is called the radius.

Diameter - Diameter is the length of a line segment that joins any two points on the circle by passing through the centre. The diameter is always double the radius.

Circumference - The distance around the circle is known as its circumference or perimeter.

Chord - A line segment joining any two points on the circle is a chord.

Sector - It is the interior region of a circle that is enclosed by an arc on one side and a pair of radii on the other two sides.

Segment - It is an interior region of the circle enclosed by an arc and a chord.

Significance of CBSE Class 6 Maths Chapter 4 Basic Geometrical Ideas Important Questions

Once the students completed the chapter, they can proceed to download and solve these important questions and test their skills. These questions will act as the perfect tool for the assessment of their preparation level and knowledge. They will also get to know more questions suggested by the subject experts to study. The solutions provided with these questions will provide the answers to these questions.

Benefits of CBSE Class 6 Maths Chapter 4 Basic Geometrical Ideas Important Questions

• The important questions and answers for this chapter can be downloaded altogether for practising at your convenience.

• You can resolve doubts by using these solutions on your own and preparing this chapter well.

• Follow the answering format for these questions to score more in the exams.

Download CBSE Class 6 Maths Chapter 4 Basic Geometrical Ideas Important Questions PDF

Get the free PDF version of these important questions and answers to solve and develop your concepts. Learn how to answer questions in this chapter precisely and score more in the exams.

Importances of Important Questions for CBSE Class 6 Maths Chapter 4- Basic Geometrical Ideas

The importance of having a set of important questions for CBSE Class 6 Maths Chapter 4, "Basic Geometrical Ideas," cannot be overstated. These questions serve as valuable study aids, offering a structured approach to learning geometry's foundational concepts. They help students identify key principles related to shapes, angles, and measurements. Moreover, important questions promote critical thinking and problem-solving skills, which are not only essential for mathematics but also for various real-life situations. They are particularly valuable for exam preparation, as they guide students toward the most significant topics and provide a platform for self-assessment. Ultimately, important questions enrich the learning experience, making the subject more accessible and fostering a deeper understanding of geometry's relevance and applicability.

Conclusion:

Solutions of Class 6th Maths Chapter 4 important questions, notes, and study material not only give you enough practice for the exam but also boost your confidence and strengthen your conceptual understanding of the topic. Geometrical tools such as a protractor, ruler, measuring tape, and much more are used in construction work, astronomy, measurements, drawing, etc. Different art forms can be made by joining different geometric shapes together.

There are Extra Questions also available with the solution which are prepared by our team of expert teachers. There is a set of solved Mathematics Extra Questions from each and every chapter.

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