Activity Overview
This activity is aligned with the Circumcentre and Orthocentre activities forming a natural progression for the Euler line activity. Students calculate gradients, equations to lines, solve equations simultaneously and use the calculator's tools to check their answers.
Objectives
The aim of this activity is to put a range of coordinate geometry skills into context, including midpoints, equations to lines (given two points) and simultaneous equations. The mixture of skills and processes helps students build and connect these skills.
Vocabulary
- Midpoint
- Straight line equation
- Simultaneous equations
- Distance between two points
- Similar triangles
- Geometric proof
About the Lesson
Students calculate midpoints, determine equations (given two points), solve equations simultaneously and more to determine the location of the centroid. Students can also use triangle similarity to prove properties of the centroid. This activity is designed to be completed in conjunction with the Circumcentre, Orthocentre and Euler line activities.