SOLUTION: Show if the given set points are vertices of an isosceles triangle Point 1 (6,7) Point 2 (-8,-1)

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Question 1046069: Show if the given set points are vertices of an isosceles triangle
Point 1 (6,7)
Point 2 (-8,-1)
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
They can be. What you looking for? The line which perpendicularly bisects the segment contains points which will form isosceles triangle with your given points.

Find slope for points (6,7) and (-8,-1).
Find negative reciprocal of this slope.
Find midpoint of the two points.
Plug into the point-slope equation form of a line.
That is the line which contains the points you want. You can pick any point you want on this line as long as the picked point is NOT the found midpoint.