Perpendicular bisectors and circumcenter of a triangle

The perpendicular bisectors of the three sides of a triangle are concurrent in a point that is equidistant (the same distance) from the vertices of the triangle.

Objectives

Introduce perpendicular bisectors in a triangle and their point of concurrence.

Estimated Time

30 minutes.

Prerequisites/Instructions, prior preparations, if any

Ensure that circles, triangles, perpendicular bisectors and their constructions are covered

Materials/ Resources needed

Digital resources: Laptop, geogebra file, projector and a pointer.

Geogebra files: This eogebra file was done by ITfC-Edu-Team.

Process (How to do the activity)

1. Project the geogebra file and ask the following questions.

• Developmental Questions:

1. What is a perpendicular bisector ?
2. How do you construct it ?
3. Identify the point of intersection of perpendicular bisectors in different triangles.
4. What is circumcircle ?

• Evaluation:

1. How is circumradius determined ?
2. What parts of the circle is circumcircle touching ?

• Question Corner:

1. What are the practical applications of determining the circumcircle ?