Question

Explain and justify the process to construct either an angle bisector or a perpendicular bisector. Use words, numbers, and/or symbols.

Answer 1

Answer:

Perpendicular bisector and angle bisector are similar in its construction because we use ruler and compass. The difference is the output of each construction. ... A perpendicular bisector is a line that bisects another line and produces a right angle or an angle that measures 90 degrees.

Answer 2

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A perpendicular bisector can be defined as a line segment which intersects another line perpendicularly and divides it into two equal parts. Two lines are said to be perpendicular to each other when they intersect in such a way that they form 90 degrees with each other. And, a bisector divides a line into two equal halves. Thus, a perpendicular bisector of a line segment AB implies that it intersects AB at 90 degrees and cuts it into two equal halves.

Properties of a Perpendicular Bisector

It divides AB into two equal halves or bisects it.

It makes right angles with (or is perpendicular to) AB.

Every point in the perpendicular bisector is equidistant from point A and B.

While working with practical geometry, you will often find the application of perpendicular bisectors; say when you are asked to draw an isosceles triangle