I need help: The points ABC have coordinates (7,0),(3,-3),(-3,3) respectively....

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Kitimbo

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The points ABC have coordinates (7,0),(3,-3),(-3,3) respectively. Find the cordinates of D,E,F the mid points of BC,CA,AB respectively .Find the equations of lines AD,BE and the coordinates of K,their point of intersection. Prove that C,K,F are in a straight line.

I can solve the first part but how can I prove that those points are in straight line
 
Kitimbo said:
The points ABC have coordinates (7,0),(3,-3),(-3,3) respectively. Find the cordinates of D,E,F the mid points of BC,CA,AB respectively .Find the equations of lines AD,BE and the coordinates of K,their point of intersection. Prove that C,K,F are in a straight line.

I can solve the first part but how can I prove that those points are in straight line
Click to expand...
If |CK| + |KF| = |CF|

Then C, K and F are in a straight-line with K between C & F.
 
If points C, K, and F lie on a straight line, then the slope from C to K must match the slope from K to F. :cool:
 
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