ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.1

Question 1.
How many lines can be drawn through a given point?
Solution:
Unlimited number of lines.

Question 2.
How many lines can be drawn through two distinct given points?
Solution:
One
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.1 1

Question 3.
How many lines can be drawn through three collinear points?
Solution:
one
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.1 2

Question 4.
Mark three non-collinear points A, B and C in your note-book. Draw lines through these points taking two at a time and name these lines. How many such different lines can be drawn?
Solution:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.1 3
lines AB, BC and CA; three.

Question 5.
Use the figure to name :
(i) Five point
(ii) Aline
(iii) Four rays
(iv) Five line segments
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.1 4
Solution:
(i) O, B, C, D, E
(ii) \(\overleftrightarrow { DE, } \overleftrightarrow { DO } ,\overleftrightarrow { DB, } \overleftrightarrow { EO } ,\) etc.
(iii) \(\overleftrightarrow { DB } ,\overleftrightarrow { DE } ,\overleftrightarrow { OB } ,\overleftrightarrow { OE } ,\overleftrightarrow { EB, } \) etc.
(iv) \(\overline{\mathrm{DE}}, \overline{\mathrm{DO}}, \overline{\mathrm{EO}}, \overline{\mathrm{OB}}, \overline{\mathrm{EB}}\), etc.

Question 6.
Use the figure to name:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.1 5
(i) Line containing point E.
(ii) Line passing through A.
(iii) Line on which point O lies.
(iv) Two pairs of intersecting lines.
Solution:
(i) \(\overleftrightarrow { AE } \) , etc.
(ii) \(\overleftrightarrow { AE } \), etc.
(iii) \(\overleftrightarrow { CO } \quad or\quad \overleftrightarrow { OC } \)
(iv) \(\overleftrightarrow { CO } ,\overleftrightarrow { AE } \quad ;\quad \overleftrightarrow { AE } ,\overleftrightarrow { EF } \)

Question 7.
From the given figure, write
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.1 6
(i) collinear points
(ii) concurrent lines and their points of concurrence.
Solution:
(i) A, D, C ; B, D, E.
(ii) l, n, p ; point B and m, p, q ; point A.

Question 8.
In the given figure, write
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.1 7
(i) all pairs of parallel lines.
(ii) all pairs of intersecting lines,
(iii) concurrent lines.
(iv) collinear points.
Solution:
(i) l, m; l, n; m, n
(ii) l, p; m, p; n, p; l, q; m, q; n, q; l, r; m, r; n, r; p, q; p, r; q, r
(iii) n, r, quad
(iv) A, B, C; A, H, I, D; D, E, F, G; C, I, E; B, H, F.

Question 9.
Count the number of line segments drawn in each of the following figures and name them:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.1 8
Solution:
(i) \(\overline{\mathrm{AB}}, \overline{\mathrm{AC}}, \overline{\mathrm{AD}}, \overline{\mathrm{BC}}, \overrightarrow{\mathrm{BD}} \text { and } \overline{\mathrm{CD}}\); Six.
(ii) \(\overline { AB } ,\overline { AE } ,\overline { AC } ,\overline { AD } ,\overline { BC } ,\overline { BE } ,\overline { BD } ,\overline { CD } ,\overline { CE } and\overline { DE } \); Ten.
(iii) \(\overline { AB } ,\overline { AE } ,\overline { AD } ,\overline { BC } ,\overline { BE } ,\overline { CE, } \overline { CD } or\overline { ED } \) Eight.

Question 10.
(i) Name all the rays shown in the following figure whose initial points are A, B and C respectively.
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.1 9
(ii) Is ray AB different from ray AD?
(iii) Is ray CA different from ray CE?
(iv) Is ray BA different from ray CA?
(v) Is ray ED different from ray DE?
Solution:
(i) Rays \(\overrightarrow{\mathrm{AB}}, \overrightarrow{\mathrm{AC}}, \overrightarrow{\mathrm{AD}}, \overrightarrow{\mathrm{AE}} ; \overrightarrow{\mathrm{BC}}, \overrightarrow{\mathrm{BD}}\)
\(\overrightarrow{\mathrm{BA}}, \overrightarrow{\mathrm{BE}} ; \overrightarrow{\mathrm{CD}}, \overrightarrow{\mathrm{CB}}, \overrightarrow{\mathrm{CA}}, \overrightarrow{\mathrm{CE}}\)
(ii) No
(iii) No
(iv) Yes.
(v) Yes.

Question 11.
Consider the following figure of line \(\overleftrightarrow { MN } \). Says whether following statements are true or false in context of the given figure.
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.1 10
(i) Q, M, O, N and P are points on the line \(\overleftrightarrow { MN } \).
(ii) M, O and N are points on a line segment \(\overline{\mathrm{MN}}\).
(iii) M and N are end points of line segment \(\overline{\mathrm{MN}}\) .
(iv) O and N are end points of line segment \(\overline{\mathrm{OP}}\).
(v) M is a point on the ray \(\overline{\mathrm{OP}}\).
(vi) M is one of the end points of line segment \(\overline{\mathrm{QO}}\).
(vii) Ray \(\overrightarrow { OP } \) is same as ray \(\overrightarrow { OM } \).
(viii)Ray \(\overrightarrow { OM } \) is not opposite to ray \(\overrightarrow { OP } \).
(ix) Ray \(\overrightarrow { OP } \) is different from ray \(\overrightarrow { QP } \).
(x) O is not an initial point of ray \(\overrightarrow { OP } \).
(xi) N is the initial point of \(\overrightarrow { N } \) and \(\overrightarrow { NM } \).
Solution:
(i) True.
(ii) True.
(iii) True.
(iv) False.
(v) False.
(vi) False.
(vii) False.
(viii) False.
(ix) True.
(x) False.
(xi) True.

ML Aggarwal Class 6 Solutions for ICSE Maths

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