The endpoints of AB are A(2, 3) and B(8, 1). The perpendicular bisector of AB is CD , and point C lies on AB. The length of CD is √10 units.

The coordinates of point C are_____ . The slope of CD is
_____ . The possible coordinates of point D are_____ and_____ .

7 answers

C = ((2+8)/2,(3+1)/2) = (5,2)
slope of CD = (2-8)/(1-3) = 3

since CD=√10, it is the hypotenuse of a triangle with legs 3 and 1. Since the slope is 3, that means that the x-leg=1, and the y-leg=3.

So, it could be
C+(1,3) = (6,5)
or
C-(1,3) = (4,-1)
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