SOLUTION: Find the two points of segments AB that divide the segment into three congruent parts. Point A has coordinates (0,0) and point B has coordinates (9,6). Explain your method.
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Question 334950: Find the two points of segments AB that divide the segment into three congruent parts. Point A has coordinates (0,0) and point B has coordinates (9,6). Explain your method. Answer by solver91311(24713) (Show Source):
Use the two-point form of an equation of a line to write an equation of the line containing the given segment.
So:
Drop a vertical from the point to the axis at the point
Now you have a triangle. If you divide the segment from to into three equal segments by marking points at and . Use these coordinates in the equation developed above to find the coordinates of the points on the given segment that divide the segment into three parts. The principle is similar triangles.
John
My calculator said it, I believe it, that settles it
