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Topic: Perpendicular bisector puzzle
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Posts: 2
Registered: 12/10/04
Perpendicular bisector puzzle
Posted: Jan 16, 1995 5:50 PM
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In a plane, a reflection across line AB maps point P (not on line AB)
to point P prime. If the coordinates of A are (a,b), the coordinates
of b are (c,d) and the coordinates of P are (x,y), then what are the
coordinates of P prime in terms of a,b,c,d,x, and y?

You could also think of it this way:

In a plane with line AB, point P, and point Q (this corresponds to P
prime above). The coordinates of A, B, and P are the same as above.
What are the coordinates of Q such that line AB perpendicularly
bisects segment PQ?

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