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what construction will determine a midpoint?

what construction will determine a midpoint? like angle bisector or perpendicular bisector

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Steve S. | Tutoring in Precalculus, Trig, and Differential CalculusTutoring in Precalculus, Trig, and Diffe...
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Only the perpendicular bisector will determine a midpoint.
 
The angle bisector will not, in general, find the midpoint of the side of a triangle across from the angle. The only time it will is when the other two angles are equal and the triangle is isosceles; and then you're actually constructing a perpendicular bisector.
Thomas D. | Elementary/Middle/High School Tutoring General StudiesElementary/Middle/High School Tutoring G...
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Hello, Jeremy
 
Between the two you would be better off with the perpendicular bisector, since for lines to be perpendicular, they must meet at a right, or 90 degree, angle. 
 
An angle bisector simply divides an angle into two equal parts. It is also referred to as an interior bisector.