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NCERT · Class 6 · Maths

Chapter 4: Basic Geometrical Ideas

Practice each question, then open the answer or worked solution.

Questions

6 questions
Q1Written answer

Use the figure to name:

(a) Five points

(b) A line

(c) Four rays

(d) Five line segments

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 1

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Worked solution

(a) The five points are D, E, O, B and C

(b) A line is NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 2

(c) Four rays are NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 3, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 4, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 5and NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 6.

(d) Five line segments are NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 7, NCERT solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 8, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 9, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 10and NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 11

Q2Written answer

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 Exercise 4.1 - 12

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Worked solution

The lines are NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 13, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 14, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 15, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 16, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 17, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 18, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 19, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 20, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 21, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 22, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 23, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 24

Q3Written answer

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.

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 25

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Worked solution

(a) Line containing point E is NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 26

(b) Line passing through A is NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 27

(c) Line on which O lies is NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 28

(d) Two pairs of intersecting lines are NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 29, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 30and NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 31, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 32

Q4Written answer

How many lines can pass through (a) one given point? (b) two given points?

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Worked solution

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

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

Q5Written answer

Draw a rough figure and label suitably in each of the following cases:

(a) Point P lies onNCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 33 .

(b) NCERT solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 34 and NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 35 intersect at M.

(c) Line l contains E and F but not D.

(d) NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 36 and NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 37 meet at O.

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Worked solution

(a)

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 38

(b)

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 39

(c)

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 40

(d)

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 41

Q6Written answer

Consider the following figure of line NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 42. 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 Exercise 4.1 - 43.

(b) M, O, N are points on a line segmentNCERT solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 44 .

(c) M and N are end points of line segmentNCERT solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 45.

(d) O and N are end points of line segment NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 46.

(e) M is one of the end points of line segment NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 47.

(f) M is point on ray NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 48.

(g) Ray
NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 49 is different from rayNCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 50 .

(h) Ray NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 51 is same as rayNCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 52 .

(i) Ray NCERT solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 53 is not opposite to ray NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 54.

(j) O is not an initial point of NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 55

(k) N is the initial point of NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 56 and NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 57.

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 - 58

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Worked solution

(a) True

(b) True

(c) True

(d) False

(e) False

(f) False

(g) True

(h) False

(i) False

(j) False

(k) True