Students explore the concept of 'centre' using a range of familiar shapes. The dynamic geometry environment on TI-Nspire is then used to construct a triangle. Using the perpendicular bisector tool students locate the circumcentre of the triangle then use congruent triangles to establish a proof.
- ACMMG243– Formulate proofs involving congruent triangles and angle properties
- ACMMG201– Develop the conditions for congruence of triangles
- S.A.S - Congruency Condition
About the Lesson
Students explore the concept of centre through a variety of shapes visually, dynamically and through paper folding. Students then use the TI-Nspire Geometry Application to construct a dynamic representation of the circumcentre of a triangle followed by a proof.