posted by IB student .
Find 2 points on the perpendicular bisector of line AB. Verify your results by showing each point is equidistant from A and B.
34.) A (0,0) B 90,4)
36.) A (3,3) B (3,-3)
38.) A (3,0) B (1,4)
36 is easy, since AB is vertical.
34 and 38 are done the same way:
find the midpoint of AB
find the slope of AB; you want the negative reciprocal.
Now you have a point and a slope; the equation is easy
midpoint of AB is (2,2)
slope of AB is -2, so slope of ┴ is 1/2
y-2 = 1/2 (x-2)
now just pick any two values of x or y and solve for the other (y or x)