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

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.

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

 

NCERT 6th Maths Chapter 4 Exercise 4.1 1

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

 

Solution:

 

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

 

Solution:
The names are as followed

 

 

 

 

 

 

 

 

Question 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.

 

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;

 

 

Question 6:
Consider the following figure of line MN . Say whether following statements
are true or false in the context of the given figure:

 

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

 

NCERT 6th Maths Chapter 4 Exercise 4.2 1

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.

 

Question 3:
Draw any polygon and shade its interior.

 

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

 

NCERT 6th Maths Chapter 4 Exercise 4.3 1

Question 1:
Name the angles in the given figure:

 

Solution:

 

 

Question 2:
In the given diagram, name the point(s):

Basic Geometrical Ideas

(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)

Basic Geometrical Ideas

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

(b)

Basic Geometrical Ideas

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)

Basic Geometrical Ideas

Here, ray OA is common.

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

 

NCERT 6th Maths Chapter 4 Exercise 4.4 1

Question 1:
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?
Solution:Question 1:
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?

 

Solution:

Basic Geometrical Ideas

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

 

Question 2:
(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 B as common?

 

Basic Geometrical Ideas

 

Solution:

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

 

NCERT 6th Maths Chapter 4 Exercise 4.5 1

Basic Geometrical Ideas

Question 1:
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?

 

Solution:

Basic Geometrical Ideas

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

 

Question 2:
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.

 

Solution:

Basic Geometrical Ideas

 

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 the
quadrilateral. Is the triangle distorted? Is the quadrilateral distorted? Is
the triangle rigid? Why is it that structures like electric towers make use of
triangular 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

 

NCERT 6th Maths Chapter 4 Exercise 4.6 1

Basic Geometrical Ideas

Question 1:
From the figure, identify:

Basic Geometrical Ideas

(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

 

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.

 

Question 3:
Draw any circle and mark:

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

 

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

Basic Geometrical Ideas

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

 

Question 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.

 

Solution:
(a) True
(b) True

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