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Complete a two column proof showing that line EP is a angle bisector while the given is that Line EP is a perpendicular bisector

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1 Answer

Something along the lines of:

First I would create a diagram. Make a horizontal line labeled APB, Where P is the midpoint of AB. Then draw a line perpendicular originating at P, extending up or down.

Statement                         Reason

1. EP is a perp bis              1. given

2. "angle" AB = 180            2. defintion of a straight line

3. angle APE = 90              3. definitoin of perpendicular

4. angle BPE = 90              4. definitoin of perpendicular

5. angle APE +                  5. defintion of supplementary angles

     angle BPE = 180

6. 180 / 2 = 90                 6. division property

7. "angle" AB / 2 =           7. definition of angle bisector

          angle APE