NCERT Solutions Class 6 Mathematics Chapter 4 Basic Geometrical Ideas

NCERT Solutions Class 6 Mathematics Chapter 4 Basic Geometrical Ideas have been provided below and is also available in Pdf for free download. The NCERT solutions for Class 6 Mathematics have been prepared as per the latest syllabus, NCERT books and examination pattern suggested in Class 6 by CBSE, NCERT and KVS. Questions given in NCERT book for Class 6 Mathematics are an important part of exams for Class 6 Mathematics and if answered properly can help you to get higher marks. Refer to more Chapter-wise answers for NCERT Class 6 Mathematics and also download more latest study material for all subjects. Chapter 4 Basic Geometrical Ideas is an important topic in Class 6, please refer to answers provided below to help you score better in exams

Chapter 4 Basic Geometrical Ideas Class 6 Mathematics NCERT Solutions

Class 6 Mathematics students should refer to the following NCERT questions with answers for Chapter 4 Basic Geometrical Ideas in Class 6. These NCERT Solutions with answers for Class 6 Mathematics will come in exams and help you to score good marks

Chapter 4 Basic Geometrical Ideas NCERT Solutions Class 6 Mathematics

EXERCISE 4.1

Q.1) Use the figure to name
(a) Five points (b) A line
(c) Four rays (d) Five line segments

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Sol.1) Point:
A point is used to represent any specified location or position. Dots are used to the present points.
Line:
Two points determine a line. Line is breadth less & has length only. Line extend indefinitely in both directions.
Line segment:
The definite length between 2 points.it is the shortest distance between 2 points. A line segment has 2 end points .
Ray:
A ray is a portion of line. It starts at one point & goes endlessly in one direction.
a) 5 points : O, B, C, D,E
b) A line: BD
c) 4 rays: OD, OE, OC , OB
d) 4 line segments: DE, OE, OC, OB,

Q.2) Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.

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Sol.2) A line is a line segment which extends on both side infinitely.
A line does not have a definite length.
By taking point A
AB , AC, AD
By taking point B
BC, BD, BA
By taking point C
CD, CA,CB
By taking point D
DA, DB, DC
Hence the line given in all possible (12) ways are:
AB , AC, AD, BC, BD, BA, CD, CA,CB, DA, DB, DC

Q.3) 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

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Sol.3) A line segment which extend on both sides infinitely is called the line.
We cannot draw a line but can represent it by putting two opposite arrows on both ends of a segment of the line.
Intersecting lines:
If two lines pass through a point then the two lines are called intersecting lines.
If two lines have one point in common than they are called intersecting lines.
a) In this figure two lines contain point E, one of them is AE.
b) in this figure 1 line is passing through A i.e AE.
c) In this figure, Line on which Is lies is CO.
d) In this figure, two pairs of intersecting lines are CO, AE & AE ,EF.

Q.4) How many lines can pass through?
(a) one given point? (b) two given points?
Sol.4) a) If we try to imagine a point in plane and pass a point through it, we can pass many lines coming from different direction and there's no end to it. From a point on a plane, we can pass infinitely many lines

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(b) For two given points, we can't say so that in case of one given point, because here due to two points the line must pass from between the two points in a straight line. Which means that only one line can pass through two given points.

Q.5) Draw a rough figure and label suitably in each of the following cases:
(a) Point P lies on AB.
(b) XY and PQ intersect at M.
(c) Line contains E and F but not D.
(d) OP and OQ meet at O.
Sol.5) 

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Exercise 4.2

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

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Sol.1) (a) Open curve
(b) Closed curve
(c) Open curve
(d) Closed curve
(e) Closed curve
∴ Curves (a) and (c) are open curves and Curves (b), (d) and (e) are closed curves.

Q.2) Draw rough diagrams to illustrate the following:
(a) Open curve (b) Closed curve
Sol.2) Here are some expamles of Open & Closed Curves

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Q.3) Draw any polygon and shade its interior.
Sol.3) Diagram of a Octagon polygon is given below:

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Exercise 4.4

Q.1) Draw a rough sketch of a triangle ABC. Mark a point P in its exterior. Is the point A interior?

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Structures like electric towers make use of triangular shape so that they could not be distorted and they could be rigid.

Exercise 4.6

Q.1) From the figure, identify:

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a) the centre of 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
Sol.1) a) 𝑂 is the centre.
(b) Three radii: 𝑂𝐴, 𝑂𝐵 and 𝑂𝐶
(c) A diameter: 𝐴𝐶
(d) A chord: 𝐸𝐷
(e) Interior points: 𝑂, 𝑃
(f) Exterior point: 𝑄
(g) A sector: 𝑂𝐴𝐵
(h) A segment: 𝐸𝐷

Q.2) (a) Is every diameter of a circle also a chord?
(b) Is every chord of a circle also a diameter?
Sol.2) (a) Is every diameter of a circle also a chord?
Yes
(b) Is every chord of a circle also a diameter?
No

Q.3) Draw any circle and mark
(a) its centre
(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
Sol.3)

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a) 𝑂 is the centre of the circle
b) 𝐴𝑂, 𝑂𝐵 and 𝑂𝐷 are radii of the circle.
c) 𝐵𝐷 is the diameter of the circle.
d) 𝐴𝑂𝐷 is the sector of the circle shaded in grey colour.
e) 𝐵𝐶 is the segment of the circle shaded in grey colour.
f) 𝐸 is the point in the interior of the circle. 𝑂 is also the point in the interior.
g) 𝐹 is the point in the exterior of the circle.
h) 𝐴𝐵 is one of the many arcs present in the circle.

Q.4) Say true or false
(a) Two diameters of a circle will necessarily intersect.
(b) The centre of a circle is always in its interior.
Sol.4) (a) Two diameters of a circle will necessarily intersect.
True, Diameters always intersect at the centre of the circle.
(b) The centre of a circle is always in its interior.
True

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