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

Exercise 4.1

Q1. Use the figure to name:

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

(a) Five points
(b) A line
(c) Four rays
(d) Five line segments
Ans:

NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical IdeasQ2. Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.

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

Q3. Use the figure to name:

NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas(a) Line containing point E.
Ans: A line containing NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas

(b) Line passing through A.
Ans: A line passing through NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas

(c) Line on which O lies.
Ans: A line on which O lies NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas

(d) Two pairs of intersecting lines.
Ans: Two pairs of intersecting lines are NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas


Q4. How many lines can pass through 
(a) one given point?
Ans: Infinite number of lines can pass through one given point.

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

(b) Two given points?
Ans: Only one line can pass through two given points. 

NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Q5. Draw a rough figure and label suitably in each of the following cases:
(a) Point P lies on NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas.
(b) NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas intersect at M.
(c) Line contains E and F but not D.
(d) NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas meet at O.
Ans:

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

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

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

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


Q6. Consider the following figure of line NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas Say whether following statements are true or false in context of the given figure.
(a) Q, M, O, N, P are points on the line NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: True

(b) M, O, N are points on a line segment NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: True

(c) M and N are end points of line segment NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: True

(d) O and N are end points of line segment NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: False

(e) M is one of the end points of line segment NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: False

(f) M is point on ray NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: False

(g) Ray NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas  is different from ray NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: True

(h) Ray NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas is same as ray NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: False

(i) Ray NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideasis not opposite to ray NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: False

(j) O is not an initial point of NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: False

(k) N is the initial point of NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas and NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas 

Ans: True

Exercise 4.2

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

(a)NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: Open curve

(b)NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: Closed curve

(c)NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: Open curve

(d)NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: Closed curve

(e)NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas
Ans: Closed curve

Q2. Draw rough diagrams to illustrate the following:
(a) Open curve
Ans: Open curves

NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical IdeasNCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical IdeasNCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical IdeasNCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas

(b) Closed curve
Ans: Closed curves

NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical IdeasNCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical IdeasNCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical IdeasNCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas


Q3. Draw any polygon and shade its interior. 
Ans: Polygon ABCDE

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


Q4. Consider the given figure and answer the questions:
(a) Is it a curve? 
(b) Is it closed?

NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical IdeasAns: (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.
Ans:  The below figure is a closed figure but not a polygon.
NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas

(b) An open curve made up entirely of line segments.
Ans: The below figure is an open curve made up entirely of line segments.
NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas

(c) A polygon with two sides.
Ans: No, it’s not possible, as the polygon with the least number of sides is a triangle, which has three sides.


Exercise 4.3

Q1. Name the angles in the given figure.

NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical IdeasAns: There are four angles in given figure:
∠ ABC, ∠ CDA, ∠ DAB, ∠ DCB

Q2. In the given diagram, name the point(s)
NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas

(a) In the interior of ∠DOE
Ans: The point in the interior of ∠DOE is A

(b) In the exterior of ∠EOF
Ans: The points in the exterior of ∠EOF is C, A and D

(c) On ∠EOF
Ans: The points on ∠EOF are E, B, O and F

Q3. Draw rough diagrams of two angles such that they have
(a) One point in common.
Ans: O is the common point between ∠COD and ∠AOB
NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas

(b) Two points in common.
Ans: O and B are common points between ∠AOB and ∠BOC
NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas

(c) Three points in common.
Ans: O, E and B are common points between ∠AOB and ∠BOC
NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas

(d) Four points in common.
Ans: O, E, D and A are common points between ∠BOA and ∠COA
NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas

(e) One ray in common.
Ans: OC is a common ray between ∠BOC and ∠AOC
NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas

The document NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas is a part of the Class 6 Course Mathematics (Maths) Class 6.
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FAQs on NCERT Solutions for Class 6 Maths Chapter 4 - Basic Geometrical Ideas

1. What are the basic geometrical ideas covered in Class 6 NCERT Solutions?
Ans. The basic geometrical ideas covered in Class 6 NCERT Solutions include points, lines, line segments, rays, angles, triangles, quadrilaterals, circles, and their properties.
2. How can NCERT Solutions for Basic Geometrical Ideas help in understanding geometry concepts better?
Ans. NCERT Solutions provide step-by-step explanations and solutions to problems, making it easier for students to understand and apply geometric concepts effectively.
3. Are the exercises in NCERT Solutions for Basic Geometrical Ideas sufficient for practice and preparation for exams?
Ans. Yes, the exercises in NCERT Solutions for Basic Geometrical Ideas are designed to help students practice and solidify their understanding of geometry concepts, making them well-prepared for exams.
4. Are the Old NCERT exercises in Basic Geometrical Ideas still relevant for Class 6 students?
Ans. Yes, the Old NCERT exercises in Basic Geometrical Ideas are still relevant as they cover fundamental concepts that are essential for a strong foundation in geometry.
5. How can students make the most of NCERT Solutions for Basic Geometrical Ideas to improve their problem-solving skills?
Ans. Students can make the most of NCERT Solutions by thoroughly understanding the concepts, practicing regularly, and seeking help from teachers or tutors when needed.
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