How many lines can be drawn through a given point?

Question:

(i) How many lines can be drawn through a given point?
(ii) How many lines can be drawn through two given points?
(iii) At how many points can two lines at the most intersect?
(iv) If Aand C are three collinear points, name all the line segments determined by them

 

Solution:

(i) Infinite lines can be drawn through a given point.

(ii) Only one line can be drawn through two given points.

(iii)  At most two lines can intersect at one point.

(iv) The line segments determined by three collinear points A, B and C are

$\overline{A B}, \overline{B C}$ and $\overline{A C}$.

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