![]() ![]() You need to reinforce the tower with wires to keep it from tipping over in high winds. Your radio tower is a perpendicular bisector of the length of your land. You plan to broadcast rock music day and night.Īnyway, that location for your radio tower means you have 500 meters of land to the left, and 500 meters of land to the right. You built a humdinger of a radio tower, 300 meters high, right smack in the middle of your land. Suppose you have a big, square plot of land, 1,000 meters on a side. Perpendicular Bisector Theorem Definition How does it work? If a point is on the perpendicular bisector of a line segment, then it is equidistant from the endpoints of the line segment. So putting everything together, what does the Perpendicular Bisector Theorem say? What Does Perpendicular and Bisector Mean? Perpendicular bisector theorem Putting the two meanings together, we get the concept of a perpendicular bisector, a line, ray or line segment that bisects an angle or line segment at a right angle.īefore you get all bothered about it being a perpendicular bisector of an angle, consider: what is the measure of a straight angle? 180☁80° that means a line dividing that angle into two equal parts and forming two right angles is a perpendicular bisector of the angle. A bisector cannot bisect a line, because by definition a line is infinite. BisectorĪ bisector is an object (a line, a ray, or line segment) that cuts another object (an angle, a line segment) into two equal parts. A line is perpendicular if it intersects another line and creates right angles. Perpendicular means two line segments, rays, lines or any combination of those that meet at right angles. ![]() All good learning begins with vocabulary, so we will focus on the two important words of the theorem. ![]()
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