Grade 8 Quarter 3 Constructing Perpendicular Bisector

Constructing Perpendicular Bisector Using Compass and Straight Edge

In this lesson, I will be constructing a perpendicular bisector using a compass and straight edge. Everything will be explained in Filipino.

What is a perpendicular bisector?

A perpendicular bisector is a line that meets a given line segment at a right angle and cuts the given line segment into two equal halves.

Here are the steps in constructing a perpendicular bisector of a line segment AB using a compass and a straight edge.

Step 1:  Place the compass at point A.  Adjust the compass to just over half of AB.  Draw an arc.

Step 2:  Place the compass at point B.  Adjust the compass to just over half of AB.  Draw an arc.

Step 3:  Get the intersection of the two arcs.

Step 4:  Connect the two points.  You now have the perpendicular bisector of segment AB.  

Check what you’ve learned in this lesson using the following exercises:

Worksheet 1

Worksheet 2

You may also try this perpendicular bisector calculator.

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