Exercise 4.3 - Chapter 4 Geometry Term 1 6th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

Ex $4.3$
Question $1 .$

Observe the diagram and fill the blanks.
(i) ' $\mathrm{A}$ ', ' $\mathrm{O}$ ' and ' $\mathrm{B}$ ' are points
(ii) ' $\mathrm{A}$ ', ' $\mathrm{O}$ ' and ' $\mathrm{C}$ ' are points
(iii) ' $\mathrm{A}$ ' ' $\mathrm{B}$ ' and ' $\mathrm{C}$ ' are points
(iv) is the point of concurrency
Solution:
(i) collinear points
Hint: Points on a line.
(ii) non collinear points
Hint: Points not on a line
(iii) end points/non collinear points
(iv) $\mathrm{O}$ is the point of concurrency.
Hint: A points where lines meet
 

Question 2 .
Draw any line and mark any 3 points that are collinear.

Solution:

L, M, N are collinear points

Question 3 .
Draw any line and mark any 4 points that are not collinear.

Solution:

X, Y, Z and A are non-collinear points.
 

Question $4 .$
Draw any 3 lines to have a point of concurrency.
Solution:

$\mathrm{l}_{1}, \mathrm{l}_{2}$ and $\mathrm{l}_{3}$ are the concurrent lines.
' $\mathrm{O}$ ' is the point of concurrency.
 

Question 5 .
Draw any 3 lines that are not concurrent. Find the number of points of intersection.

Solution:

$\mathrm{l}_{1}, \mathrm{l}_{2}$ and $\mathrm{l}_{3}$ are non concurrent lines.
$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are the 3 points of intersection.
There are two points of intersection $X$ and $Y$

Objective Type Questions

Question $6 .$
A set of collinear points in the figure are
(a) A. B, C
(b) A, F, C
(c) B, C, D
(d)A,C,D
Solution:
(b) A, F, C

Question $7 .$
A set of non-collinear points in the figure are
(a) A, F, C
(b) B, F, D
(c) E, F, G
(d) A, D, C
Solution:
(d) A, D, C
Hint: Non-collinear points are points which are not on a line.

Question 8 .
A point of concurrency in the figure is
(a) $\mathrm{E}$
(b) $\mathrm{F}$
(c) $\mathrm{G}$
(d) $\mathrm{H}$
Solution:
(b) $\mathrm{F}$