NCERT Solutions for Class 6 Maths Exercise 4.1

NCERT Solutions for Class 6 Maths Exercise 4.1 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 6 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

NCERT solutions for Maths Basic geometrical ideas Download as PDF

NCERT Solutions for Class 6 Maths Basic geometrical ideas

Class –VI

Mathematics

(Ex. 4.1)

Question 1.Use the figure to name:

(a)Five points

(b)A line

(c)Four rays

(d)Five line segments

Answer:

(a) Five points are: O, B, C, D, E

(b) A line: {tex}\overline {{\text{DE}}} ,{/tex}{tex}\overline {{\text{DB}}} ,{/tex}{tex}\overline {{\text{OE}}} ,{/tex}{tex}\overline {{\text{OB}}} {/tex}

(c) Four rays: {tex}\overrightarrow {{\text{OD}}} ,{/tex}{tex}\overrightarrow {{\text{OE}}} ,{/tex}{tex}\overrightarrow {{\text{OC}}} ,{/tex}{tex}\overrightarrow {{\text{OB}}} {/tex}

(d) Four line segments: {tex}\overline {{\text{DE}}} ,{/tex}{tex}\overline {{\text{OE}}} ,{/tex}{tex}\overline {{\text{OC}}} ,{/tex}{tex}\overline {{\text{OB}}} ,{/tex}, {tex}\overline {{\text{OD}}} {/tex}

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NCERT Solutions for Class 6 Maths Exercise 4.1

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

Answer: {tex}\overline {{\text{AB}}} ,{/tex}{tex}\overline {{\text{AC}}} ,{/tex}{tex}\overline {{\text{AD}}} ,{/tex}{tex}\overline {{\text{BC}}} ,{/tex}{tex}\overline {{\text{BD}}} ,{/tex}{tex}\overline {{\text{CD}}} ,{/tex}{tex}\overline {{\text{BA}}} ,{/tex}{tex}\overline {{\text{CA}}} ,{/tex}{tex}\overline {{\text{DA}}} ,{/tex}{tex}\overline {{\text{CB}}} ,{/tex}{tex}\overline {{\text{DB}}} ,{/tex}{tex}\overline {{\text{DC}}} {/tex}

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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.

Answer: (a) A line containing E = {tex}\overline {{\text{AE}}} {/tex} or {tex}\overline {{\text{FE}}} {/tex}

(b) A line passing through A = {tex}\overline {{\text{AE}}} {/tex} or {tex}\overline {{\text{DE}}} {/tex}

(c) A line on which O lies = {tex}\overline {{\text{CO}}} {/tex} or {tex}\overline {{\text{OC}}} {/tex}

(d) Two pairs of intersecting lines are : {tex}\overline {{\text{AD}}} ,{/tex}{tex}\overline {{\text{CO}}} {/tex} and {tex}\overline {{\text{AE}}} {/tex}, {tex}\overline {{\text{FE}}} {/tex}

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NCERT Solutions for Class 6 Maths Exercise 4.1

Question 4.How many lines can pass though:

(a) one given point?

(b) two given points

Answer: (a) Infinite number of lines can pass through one given point.

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

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Question 5.Draw a rough figure and label suitably in each of the following cases:

(a)Point P lies on {tex}\overline {{\text{AB}}} .{/tex}

(b) {tex}\overline {{\text{XY}}} {/tex} and {tex}\overline {{\text{PQ}}} {/tex} intersect at M.

(c) Line {tex}l{/tex} contains E and F but not D.

(d) {tex}\overline {{\text{OP}}} {/tex} and {tex}\overline {{\text{OQ}}} {/tex} meet at O.

Answer: Sol.

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NCERT Solutions for Class 6 Maths Exercise 4.1

Question 6.Consider the following figure of line {tex}\overline {{\text{MN}}} {/tex}. Say whether following statements are true or false in the context of the given figure:

(a)Q, M, O, N, P are points on the line {tex}\overline {{\text{MN}}} {/tex}.

(b)M, O, N are points on a line segment {tex}\overline {{\text{MN}}} {/tex}.

(c)M and N are end points of line segment {tex}\overline {{\text{MN}}} {/tex}.

(d)O and N are end points of line segment {tex}\overline {{\text{OP}}} {/tex}.

(e)M is one of the end points of line segment {tex}\overline {{\text{QO}}} {/tex}.

(f)M is point on ray {tex}\overrightarrow {{\text{OP}}} {/tex}.

(g)Ray {tex}\overrightarrow {{\text{OP}}} {/tex} is different from ray {tex}\overrightarrow {{\text{OP}}} {/tex}.

(h)Ray {tex}\overrightarrow {{\text{OP}}} {/tex}same as ray {tex}\overrightarrow {{\text{OM}}} .{/tex}.

(i)Ray {tex}\overrightarrow {{\text{OM}}} .{/tex} is not opposite to ray {tex}\overrightarrow {{\text{OP}}} {/tex}.

(j)O is not an initial point of {tex}\overline {{\text{NP}}} {/tex} and {tex}\overline {{\text{NM}}} {/tex}.

Answer: (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 Exercise 4.1

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