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What's a Perpendicular Bisector?

Elena Rostova • • 6 min read
What's a Perpendicular Bisector?

Perpendicular Bisector is a line or a segment perpendicular to a segment that passes through the midpoint of the segment

midpoint of the segment
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid. ... The concept of a median extends to tetrahedra.
› wiki › Median_(geometry)
. ... Any point on the perpendicular bisector is equidistant from the endpoints of the line segment.

What is an example of a perpendicular bisector?

Example 1: In a pyramid, line segment AD is the perpendicular bisector of triangle ABC on line segment BC. If AB = 20 feet and BD= 7 feet, find the length of side AC. It is given that AD is the perpendicular bisector on the line segment BC. AC = 20 feet.

What is the perpendicular bisector of two points?

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

Elena Rostova
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Elena Rostova

Elena Rostova holds a Master's degree in Public Health Journalism. She covers groundbreaking medical research, holistic wellness trends, mental health awareness, and nutritional science.