Question

You are given endpoints A and B. Find point C on AB that lies on the perpendicular bisector.

1. A (5,1) and B (−1,3)
2. A (0,8) and B (0,4)
3. A (5,-5) and B(-3,1)
4. A (-6,6) and B(-1,1)
5. If RS has endpoints R (-5,2) and S (3, -4), does C (2,3) lie on
the perpendicular bisector of RS?

Answer 1

Answer: So, the points that lie on the perpendicular bisector are:

For set 2 (A (0,8) and B (0,4)), point C(0, 3) lies on the perpendicular bisector.

For set 5 (RS with endpoints R (-5,2) and S (3, -4)), point C(2, 3) lies on the perpendicular bisector.

Step-by-step explanation: To find point C on AB that lies on the perpendicular bisector of AB, follow my steps so you can understand it so first Find the midpoint of AB.

Calculate the slope of AB.

Determine the negative reciprocal of the slope from step 2 to find the slope of the perpendicular bisector.

Use the midpoint and the slope from step 3 to find point C.