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.

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): You can put this solution on YOUR website!

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

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