Perpendicular Bisectors and Circumcircle
Learn how to construct perpendicular bisectors using a compass, and use them to find the circumcentre of a triangle. Let’s get started! 🚀
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🛎️ What Is a Perpendicular Bisector?
- A perpendicular bisector cuts a line segment in half.
- It meets the segment at a right angle (90°) at the midpoint.
🛎️ Drawing a Perpendicular Bisector
- With a compass, set the width greater than half the segment.
- Draw arcs above and below from both ends, keeping the same width.
- Draw a straight line through the two points where the arcs cross.
🛎️ Key Property of a Perpendicular Bisector
- Every point on the perpendicular bisector is the same distance from both ends of the line segment.
- This helps you find points that are exactly in the middle between the two ends.
🛎️ Perpendicular Bisectors and the Circumcentre
- The circumcentre is where the three perpendicular bisectors of a triangle meet.
- It is equal distance from all three vertices and is the centre of the circumcircle.
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Interactive Activity
Perpendicular isectors and Circumcircle
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