Geometry can be full of patterns . in the very first axiom about straight lines we assume that through any two points there can be only one straight line drawn. but what if we have two points ? Four Points ? 11 points? A) assuming you have three non collinear points how many unique straight lines can be drawn.

B) assuming you have four points no three of which are collinear how many unique straight lines can be drawn.

C) there is pattern you can exploit to predict how many straight lines can be drawn through any number of points. fill in the table Below based on (a) and (b) and see if you can predict the number of straight lines with Five Points

D) test your conjecture on Five Points shown.