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# NCERT Solutions for Class 6 Maths Chapter 4: Basic Geometrical Ideas

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NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas by Swiflearn are by far the best and most reliable NCERT Solutions that you can find on the internet. These NCERT Solutions for Class 6 Maths Chapter 4 are designed as per the CBSE Class 6 Maths Syllabus. These NCERT Solutions will surely make your learning convenient & fun. Students can also Download FREE PDF of NCERT Solutions Class 6 Chapter 4.

## NCERT Solutions for Class 6 Maths Chapter 4: Basic Geometrical Ideas Ex 4.1

Solution:

#### Question 2:Name the line given in all possible (twelve) ways, choosing only two lettersat a time from the four given.

Solution:
The names are as followed

Solution:

#### Question 4:How many lines can pass though?(a) one given point(b) two given points

Solution:

The answer to the following questions is,
(a) Infinite number of lines

(b) Only one line.

Solution:
The figure for the following questions is as follows;

Solution:
(a) True
(b) True
(c) True
(d) False
(e) False
(f) False
(g) True
(h) False
(i) False
(j) False
(k) True

## NCERT Solutions for Class 6 Maths Chapter 4: Basic Geometrical Ideas Ex 4.2

#### Question 1:Classify the following curves as (i) Open or (ii) Closed.

Solution:
They are classified in the following way,
(a) – Open
(b) – Closed
(c) – Open
(d) – Closed
(e) – Closed

#### Question 2:Draw rough diagrams to illustrate the following:(a) Open curve(b) Closed curve

Solution:
The following are the examples of the following,
(a) Open Curve.

(b) Closed Curve.

Solution

:

#### Question 4:Consider the given figure and answer the questions:(a) Is it a curve?(b) Is it closed?

Solution:
From the given figure,
(a) Yes, it is a curve.
(b) Yes, it is closed.

#### Question 5: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.

Solution:
(a)

(b)

(c) Polygon, not possible.

## NCERT Solutions for Class 6 Maths Chapter 4: Basic Geometrical Ideas Ex 4.3

Solution:

#### (a) In the interior of DOE.(b) In the exterior of EOF.(c) On EOF.

Solution:
(a) Point interior of DOE: A

(b) Points exterior of EOF: C, A, D

(c) Points on EOF: E, O, B, F

#### Question 3: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.

Solution:
The diagram for each question is as follows,
(a)

Here, angle AOB and BOC have 1 common point O.

(b)

Here, angles AOB and BOP have 2 common points as O and B.

(c)

Here, angles EOA and AOB have 4 common points as O, D, C, and A.

(e)

Here, ray OA is common.

## NCERT Solutions for Class 6 Maths Chapter 4: Basic Geometrical Ideas Ex 4.4

#### Question 1:Draw a rough sketch of a triangle ABC. Mark a point P in its interior and apoint Q in its exterior. Is the point A in its exterior or in its interior?Solution:Question 1:Draw a rough sketch of a triangle ABC. Mark a point P in its interior and apoint Q in its exterior. Is the point A in its exterior or in its interior?

Solution:

A is one of the vertex of the triangle and it’s neither in the exterior nor in the interior.

Solution:

## NCERT Solutions for Class 6 Maths Chapter 4: Basic Geometrical Ideas Ex 4.5

#### Question 1:Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals. Namethem. Is the meeting point of the diagonals in the interior or exterior of thequadrilateral?

Solution:

The name of the diagonals is SQ and PR.
The meeting point of the diagonals is inside the quadrilateral.

Solution:

#### Question 3:Investigate:Use strip and fasteners to make a triangle and a quadrilateral.Try to push inward at any one vertex of the triangle. Do the same to thequadrilateral. Is the triangle distorted? Is the quadrilateral distorted? Isthe triangle rigid? Why is it that structures like electric towers make use oftriangular shapes and not quadrilateral?

Solution:
O is common to both the angles AOC and BOC.
No, the triangle is not distorted. Quadrilateral is distorted and also the triangle is rigid.
Electric towers make use of triangular shape.

## NCERT Solutions for Class 6 Maths Chapter 4: Basic Geometrical Ideas Ex 4.6

#### Question 1:From the figure, identify:

(a) The centre of circle.
(c) A diameter.
(d) A chord.
(e) Two points in the interior.
(f) A point in the exterior.
(g) A sector.
(h) A segment

Solution:
From the figure,
(a) Centre is O
(b) Radii: OA, OB and OC
(c) A diameter: AC
(d) A chord: ED
(e) Interior points: O, P
(f) Exterior points: Q
(g) A sector: OAB
(h) A segment: ED

#### Question 2:(a) Is every diameter of a circle also a chord?(b) Is every chord of a circle also a diameter?

Solution:
(a) Yes, every diameter of a circle is also a chord.
(b) No, every chord of a circle is not a diameter.

#### (a) Its centre.(b) A radius.(c) A diameter.(d) A sector.

Solution: According to the question the diagram is as follows,

Here, point O is the centre, AO is the radius, AB is the diameter, and AOC is a sector.

Solution:
(a) True
(b) True