In these lessons, we will learn exactly how to construct the perpendicular bisector the a heat segment utilizing acompass and also a straightedge or ruler. We will likewise learn how a perpendicular bisector have the right to be used toform a rhombus or kite and to discover the midpoint that a heat segment.

You are watching: How many perpendicular bisectors can be constructed for a line segment


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The following diagram shows the perpendicular bisector that the heat segment AB. Scroll under the web page for examples and also step-by-step remedies on just how to construct a perpendicular bisector.

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The perpendicular bisector of a heat segment ab is a line the divides the line abdominal muscle into 2 equal components at a best angle.

How to construct a perpendicular bisector?

Example:Construct a perpendicular bisector the the given line segment AB.

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Solution:Step 1: Stretch her compasses till it is much more then half the length ofAB. Put the sharp finish at A and also mark an arc over and another arc listed below line segment AB.

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Step 2: Without transforming the broad of the compasses, placed the sharp finish at B and mark arcs over and below the heat segment abdominal that will intersect v the arcs drawn in step 1.

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Step 3: sign up with the 2 points wherein the arcs intersect through a straight line. This heat is the perpendicular bisector of AB. P is the midpoint of AB.

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How to build an isosceles triangle or a rhombus?The over construction actions can likewise be used to construct an isosceles triangle or a rhombus.

Example:

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We have constructed 4 isosceles triangles; AQB, ARB, QAR and also ARB. We have likewise constructed a rhombus AQBR.

How to build a perpendicular bisector that a heat segment?

Draw a heat segment.Set compasses to longer than half the size of line segment.Construct 2 arcs, one focused at each end, so that 2 intersections room created.Draw a heat connecting the arc intersections.

How come bisect a heat segment using only a compass and also straightedge?

Uses of a Perpendicular Bisector

Constructing a Perpendicular Bisector with Isosceles TrianglesForming one of two people a Rhombus or a Kite and then joining the opposite vertices v perpendicular diagonals bisecting every other.

How to find the Midpoint that a heat Segment making use of a Perpendicular BisectorIn this tutorial around geometric constructions, us walk through how to locate the mid-point that a heat segment there is no a ruler, making use of a math compass and also a straightedge. Us can discover the mid-point by attract a perpendicular bisector.

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Set her compass so the it is slightly larger than fifty percent the length of the segment.Place the compass at allude A and draw a collection of arcs above and below the line.Without an altering the compass setting, ar the compass at allude B and draw a set of arcs intersecting the first set that arcs.Draw a allude at each intersection that arcs.Connect the 2 points with a line.The point where the lines overcome is the midpoint.

Constructing the Perpendicular Bisectors the the sides of a TriangleThis video explains exactly how to construct the perpendicular bisectors that the sides of a triangle and define the properties of the perpendicular bisectors the the sides of a triangle.The circumcenter is the suggest of concurrency because that the perpendicular bisectors of the sides of a triangle.The circumcenter is the facility of a circle the passes v the vertices the the triangle. The circumcenter is equidistant come the vertices.We say the one circumscribes the triangle.


Try the free Mathway calculator and also problem solver listed below to practice various math topics. Shot the provided examples, or form in your very own problem and check your answer v the step-by-step explanations.

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