what construction will determine a midpoint?

Question

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

Answer 1

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.

Answer 2

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.