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Circumcentre

  • Discover the Properties of Circumcentre

  • Application on Questions

  • Find the Coordinate of Circumcentre

perpendicular bi.png

Pre-Class Observation

  • Try to Guess where will three perpendicular bisectors intersect

  • Drag the vertices or click randomize to rearrange the triangle

  • Is there anything you notice?

Where Centre" locates?
Imagine the Change when you move vertices

Intersection of Perpendicular Bisectors:

  • All three perpendicular bisectors meet at a single point. The point is known as the Circumcentre of a triangle.

Circumcentre: Pink Point

Properties of the Circumcentre of Triangle

  • The Circumcentre is always

    • inside the acute triangle

    • outside the obtuse triangle

    • Right triangle, on mid-point of the hypotenuse

​

  • The circumcenter is the centre of the circumcircle

​

  • All the vertices of a triangle are equidistant from the circumcenter

    • Radii​

Circumcentre prop.png

Furthur Explore

  • Try to check the properties

  • Can you notice the properties above?

Application

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Question 1
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Question 2
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Question 3
CC4.png
Question 4

Circumcentre :
Coordiante Geometry

How to Find &

Relation with 3 Points Circle

Circumcentre method.png

Method

五顏六色的書籍

Practice Time

Capstone Project:

Learning Package for Triangle Centers
-5E instructional model

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