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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