NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

 

NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas- In daily life, you use and observe different objects like books, tiffin, table, pencil, ball, coin and many more. All such objects have different types of shapes. For example, the pen with which you write or the ruler which you use are straight. The coins, bangles, the ball are of round shape. Solutions of NCERT for class 6 maths chapter 4 Basic Geometrical Ideas is covering the solutions of all these kinds of shapes. In this particular chapter, you will learn more about the shapes around us. This is an important chapter in the context of geometry as it gives an idea about all the geometric shapes which are frequently seen everywhere. This chapter is to create a foundation of geometry for the upcoming classes. So the students must give proper attention to this topic while studying. CBSE NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas are created to help you when you are preparing for the exam as well as while doing homework. The chapter will introduce figures like- triangle, quadrilaterals, circles, polygon, regular polygon, etc. This chapter is having a total of 23 questions in 6 exercises. NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas are covering all the questions' solutions in a comprehensive manner. Along with this chapter, you can take a look at NCERT solutions for other subjects and classes as well.

NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas Topic: Line Segment

Q1 Name the line segments in the figure. Is A, the endpoint of each line segment?

            

Answer:

The line segments in the figure are  BA and AC.

A is one of the endpoints of both BA and AC.

NCERT solutions for class6 maths chapter 4 Basic Geometrical Ideas Topic: Ray

Q1 Name the rays given in this picture.

            

 

Answer:

The rays given in this picture are TA and TB.

Q2 Is T a starting point of each of these rays?

             

Answer:

Yes. T is the starting point of each these rays.

NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas Excercise: 4.1

Q1 Use the figure to name :

(a) Five points

(b) A line

(c) Four rays

(d) Five line segments

             

Answer:

(a) D, E, O, B and C

(b) DB or BD

(c) \vec{OE}, \vec{OD},\vec{OB}\ and\ \vec{OC}

(d) \bar{OE}, \bar{OD},\bar{OB},\bar{DE}\ and\ \bar{EB}

 

Q2 Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.

             

Answer:

The given line can be named in the following 12 ways.

AB, BA, AC, CA, AD, DA, BC, CB, BD, DB, CD and DC.

Q3 Use the figure to name :

(a) Line containing point E.

(b) Line passing through A.

(c) Line on which O lies

(d) Two pairs of intersecting lines.

               

Answer:

(a) Line containing point E is DE or FE.

(b) Line passing through A is AE.

(c) Line on which O lies is OC.

(d) Two pairs of inter secting lines are

    (i) CO and AE

    (ii) AE and EF 

Q4 How many lines can pass through

(a) one given point?

(b) two given points?

Answer:

(a) Infinite lines can pass through a given point.

(b) Only one line can pass through two given points.

NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas Excercise: 4.2

Q1 Classify the following curves as (i) Open or (ii) Closed

            

Answer:

(a) Open

(b) Closed

(c) Open

(d) Closed

(e) Closed

Q3 Draw any polygon and shade it is interior.

Answer:

Polygon ABCDEF

 

 

Q4 Consider the given figure and answer the questions :

(a) Is it a curve?             (b) Is it closed?

                        

Answer:

(a) Yes it is a curve.

(b) Yes it is closed.

Q5 Illustrate, if possible, each one of the following with a rough diagram:

(a) A closed curve that is not a polygon.

(b) An open curve made up entirely of line segments.

(c) A polygon with two sides.

Answer:

(a) A closed curve that is not a polygon is possible.

e.g an ellipse or a circle

(b) An open curve made up entirely of line segments 

(c) A polygon with two sides is not possible since by definition polygons are closed figures which require at least three line segments to be made.

Solutions of NCERT for class 6 maths chapter 4 Basic Geometrical Ideas Excercise: 4.3

Q1 Name the angles in the given figure.

            

 

Answer:

The angles in the given figure are \angle ABC,\angle BCD,\angle CDA\ and\ \angle DAB

 

Q2 In the given diagram, name the point(s)

(a) In the interior of \angle DOE

(b) In the exterior of \angle EOF 

(c) On \angle EOF

            

Answer:

(a) Point A

(b) Points C, A and D

(c) Points E, B, O and F

Q3 Draw rough diagrams of two angles such that they have

(a) One point in common.

(b) Two points in common.

(c) Three points in common.

(d) Four points in common.

(e) One ray in common.

Answer:

(a) \angle AOB and \angle COD have point O in common.

(b) \angle AOB and \angle BOC have points O and B in common.

(c)  \angle AOB and \angle BOC have points O, D and B in common.

(d)  \angle AOB and \angle BOC have points O, D, E and B in common.

(e)  \angle AOB and \angle BOC have ray \vec{OB} in common

Note: You will find the solutions at many sites saying that the angles required in (c) and (d) is not possible but that will be the case only if it is mentioned that the common points have to be on different rays.

NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas Excercise: 4.4

Q1 Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior?

Answer:

The sketch of the required triangle is as follows

Point A is neither in the interior or the exterior of the triangle ABC. It is a vertex.

Q2 (a) Identify three triangles in the figure.

(b) Write the names of seven angles.

(c) Write the names of six line segments.

(d) Which two triangles have \angle B as common?

            

Answer:

(a) Three triangles in the given figure are \Delta ABD\Delta ACD and \Delta ABC.

(b) Seven angles in the given figure are \angle ABD\angle BDA\angle DAB\angle ADC\angle DCA\angle CAD and \angle BAC.

(c) Six line segments in the given figure are AB, BC, CA, AD, BD and DC.

(d) \Delta ABD and \Delta ABC have \angle B as common.

Solutions for NCERT class 6 maths chapter 4 Basic Geometrical Ideas Excercise: 4.5

Q1 Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals. Name them. Is the meeting point of the diagonals in the interior or exterior of the quadrilateral?

Answer:

Sketch of the required quadrilateral PQRS is as follows.

Its diagonals are PR and QS which meet at the point O. The meeting point of the diagonals O is in the interior of the quadrilateral.

Q2 Draw a rough sketch of a quadrilateral KLMN. State,

(a) two pairs of opposite sides,

(b) two pairs of opposite angles,

(c) two pairs of adjacent sides,

(d) two pairs of adjacent angles.

Answer:

The following is the sketch of a quadrilateral KLMN

(a) Two pairs of opposite sides are

    (i) KL and MN.

    (ii) LM and NK 

(b) Two pairs of opposite angles are

    (i) \angle KLM and \angle MNK

    (ii) \angle LMN and \angle NKL

(c) Two pairs of adjacent sides are

    (i) KL and LM

    (ii) LM and MN

(d) Two pairs of adjacent angles are

    (i) \angle KLM and \angle LMN

    (ii) \angle NKL and \angle MNK

 

 

NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas Excercise: 4.6

Q1 From the figure, identify :

(a) the center of the circle

(b) three radii

(c) a diameter

(d) a chord

(e) two points in the interior

(f) a point in the exterior

(g) a sector

(h) a segment

            

Answer:

(a) O is the centre of the circle.

(b) OA, OB and OC are three radii of the circle.

(c) AC is a diameter of the circle.

(d) ED is a chord of the circle.

(e) Points O and P are in the interior of the circle.

(f) Point Q is a point in the exterior of the circle.

(g) The shaded region OAB is a sector of the circle.

(h) The shaded region EDE is a segment of the circle. 

Q2 (a) Is every diameter of a circle also a chord?

(b) Is every chord of a circle also a diameter?

Answer:

(a) Yes, every diameter of a circle is also a chord.

(b) No, not every chord of a circle is a diameter.

Q3 Draw any circle and mark

(a) it's center

(b) a radius

(c) a diameter

(d) a sector

(e) a segment

(f) a point in its interior

(g) a point in its exterior

(h) an arc

Answer:

In the above-drawn circle

    (a) O is the center of the circle.

    (b) OR is a radius of the circle.

    (c) PQ is a diameter of the circle.

    (d) Shaded region OSQ is a sector of the circle.

    (e) Shaded region ABC is a  segment of the circle.

    (f) K is a point in the interior of the circle.

    (g) L is a point in the exterior of the circle.

    (h) UV is an arc of the circle.

Q4 Say true or false :

(a) Two diameters of a circle will necessarily intersect.

(b) The center of a circle is always in its interior.

Answer:

(a)Two diameters of a circle will necessarily intersect - True.

(b) The center of a circle is always in its interior-  True.

 

NCERT solutions for class 6 mathematics chapter-wise

Chapters No.

Chapters Name

Chapter - 1

NCERT solutions for class 6 maths chapter 1 Knowing Our Numbers

Chapter - 2

Solutions of NCERT for class 6 maths chapter 2 Whole Numbers

Chapter - 3

CBSE NCERT solutions for class 6 maths chapter 3 Playing with Numbers

Chapter - 4

NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas

Chapter - 5

Solutions of NCERT for class 6 maths chapter 5 Understanding Elementary Shapes

Chapter - 6

CBSE NCERT solutions for class 6 maths chapter 6 Integers

Chapter - 7

NCERT solutions for class 6 maths chapter 7 Fractions

Chapter - 8

Solutions of NCERT for class 6 maths chapter 8 Decimals

Chapter - 9

CBSE NCERT solutions for class 6 maths chapter 9 Data Handling

Chapter -10

NCERT solutions for class 6 maths chapter 10 Mensuration

Chapter -11

Solutions of NCERT for class 6 maths chapter 11 Algebra

Chapter -12

CBSE NCERT solutions for class 6 maths chapter 12 Ratio and Proportion

Chapter -13

NCERT solutions for class 6 maths chapter 13 Symmetry

Chapter -14

Solutions of NCERT for class 6 maths chapter 14 Practical Geometry

 

NCERT solutions for class 6 subject wise

NCERT Solutions for class 6 maths

Solutions of NCERT for class 6 science

How to use NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas?

  • Try to relate all the figures with the things around us.
  • Learn the concepts given related to a particular figure.
  • Take a look through some examples to understand the application of those concepts.
  • Solve the unsolved problems given in the practice exercises.
  • While solving the unsolved questions if you stuck anywhere you can take the help of NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas.

Keep working hard always and happy learning!

 

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