IM.g.1.8.1.Point vs. Point on a Line vs. Intersection

STUDENTS:

Points A, B, and C were made with the Point, Point on Object, and Intersection tools, respectively. a. Look at the way the points are defined in the algebra view on the left. B is a Point on line f. C is the Intersection of lines f and g. b. Drag each point around to see what happens in the graphics view on the right. c. What happens? How could you predict that by their definitions? Why are the color of the points different?