thank goodness for my math teacher, norm! he said only in an isosceles triangle. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base! =)
In general, they are not. In an isosceles triangle, the perpendicular bisector of the base is the same as the bisector of the angle opposite the base. But the other two perp bisectors are not the...
Basically, you do almost the same thing to construct a perpendicular bisector as an angle bisector: you pick two points, equidistant from the vertex and draw short arcs from those points into the...
Yes. The bisector of one angle of a triangle is the perpendicular bisector of the opposite side if the bisected angle is the vertex angle of an isosceles triangle, or any angle of an equilateral...
Similarities between angle bisector and perpendicular bisector: Perpendicular bisector bisects a line segment into two equal parts at 90°. Angle bisector bisects an creating two congruent angles...