NCERT Solutions Class 6 Mathematics Basic Geometrical Ideas Ex 4.1

Class 6 - Mathematics : Basic Geometrical Ideas
Exercise : 4.1

NCERT Solutions Class 6 Mathematics Textbook
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NCERT Solutions Class 6 Mathematics Basic Geometrical Ideas Ex 4.1

Question: 1.Use the figure to name:

NCERT Solutions Class 6 Mathematics Basic Geometrical Ideas
(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: DE, DB, OE, OB
(c) Four rays: OD→,OE→,OC→,OB→
(d) Four line segments: DE, OE, OC, OB, OD

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

NCERT Solutions Class 6 Mathematics Basic Geometrical Ideas
Mddle block 1

Answer :
AB, AC, AD, BC, BD, CD, BA, CA, DA, CB, DB, DC

Question: 3.Use the figure to name:

NCERT Solutions Class 6 Mathematics Basic Geometrical Ideas
(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 = AE or FE
(b) A line passing through A = AE or DE
(c) A line on which O lies = CO or OC
(d) Two pairs of intersecting lines are : AD, CO and AE, FE

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.

NCERT Solutions Class 6 Mathematics Basic Geometrical Ideas
(b) Only one line can pass through two given points.

Question: 5.Draw a rough figure and label suitably in each of the following cases:
(a)Point P lies on AB.
(b)XY and PQ intersect at M.
(c) Line l contains E and F but not D.
(d) OP and OQ meet at O.

Answer :
Sol.

NCERT Solutions Class 6 Mathematics Basic Geometrical Ideas

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

NCERT Solutions Class 6 Mathematics Basic Geometrical Ideas

(a)Q, M, O, N, P are points on the line MN.
(b)M, O, N are points on a line segment MN.
(c)M and N are end points of line segment MN.
(d)O and N are end points of line segment OP.
(e)M is one of the end points of line segment QO.
(f)M is point on ray OP →.
(g)Ray OP→ is different from ray OP→.
(h)Ray OP→same as ray OM→.
(i)Ray OM→. is not opposite to ray OP→.
(j)O is not an initial point of NP and NM.

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

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