![]() ![]() Join the points P and Q with a straight edge.Mark the points of intersection as P and Q.Repeat the above step with B as the center.Using a compass, with A as the center and more than half of AB as radius draw arcs above and below the line segment AB.Draw a line segment AB of any length with a straight edge or a ruler.Perpendicular bisector is constructed using a straight ruler and a compass using the following steps: How Do You Construct Perpendicular Bisector With a Straight Edge and a Compass? Perpendicular bisector makes 90° with the line segment it bisects. They divide the line segment exactly at its midpoint. Perpendicular Bisector is a line segment that bisects a straight line segment into two congruent or equal segments. We can clearly see that all the perpendicular bisectors intersect at a point outside the triangle.įAQs on Perpendicular Bisector What is the Perpendicular Bisector in Geometry? The construction of the perpendicular bisectors of the obtuse triangle is shown below. Repeat the same process and draw perpendicular bisectors for the sides QR and PR.Join the points of intersection of these arcs. Repeat the same process with Q as the center. With P as the center and more than half of PQ as radius, draw arcs above and below the line segment PQ.Draw a line segment PQ of length 5 units.To find the perpendicular bisector of a triangle with the given sides, follow the steps given below. In a triangle, there are three perpendicular bisectors that can be drawn from each side. Solution: The perpendicular bisector of any triangle bisects the sides at its midpoint. These topics will also give you a glimpse of how such concepts are covered in Cuemath.Įxample 2: Can you find if the points of intersection of all the perpendicular bisectors for an obtuse triangle PQR with measurements as follows: PQ = 5 units, QR = 8 units, and PR = 9 units lies outside or inside the triangle? Given below is the list of topics that are closely connected to the perpendicular bisector. Perpendicular bisector on a line segment can be constructed easily using a ruler and a compass.The perpendicular bisector of a triangle is considered to be a line segment that bisects the sides of a triangle and is perpendicular to the sides.A perpendicular bisector is a line that divides a given line segment exactly into two halves forming 90 degrees angle at the intersection point.Important Notes on Perpendicular Bisector Can be only one in number for a given line segment.Any point on the perpendicular bisector is equidistant from both the ends of the segment that they bisect.In an acute triangle, they meet inside a triangle, in an obtuse triangle they meet outside the triangle, and in right triangles, they meet at the hypotenuse.The point of intersection of the perpendicular bisectors in a triangle is called its circumcenter.They intersect the line segment exactly at its midpoint.They make an angle of 90° with the line that is being bisected. ![]()
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