Axial Symmetry Course
Gain expertise in axial symmetry, progressing from geometric insights to comprehensive algebraic equations. Master reflections over any line, coordinate transformation rules, and precise verification techniques to confidently teach or utilise symmetry in higher mathematics settings. The course equips participants with robust tools for classroom application and problem-solving.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course offers a focused, hands-on approach to mastering reflections in axial symmetry. Learners will master accurate compass-and-straightedge constructions, solidify essential geometric principles, and identify properties that remain invariant or transform. Progress to coordinate-based reflection rules, equations of general lines, and straightforward teaching language, acquiring practical techniques, verification methods, and classroom activities for instant use.
Elevify advantages
Develop skills
- Apply reflection formulas correctly over lines ax+by+c=0 with precise computations.
- Utilise coordinate rules to reflect points and polygons across x-axis, y-axis, and y=x line.
- Perform compass-and-straightedge constructions for reflections with rigorous step-by-step justification.
- Communicate axial symmetry concepts to middle school students using simple language and visual aids.
- Create efficient classroom assessments to verify preservation of distances, angles, and orientation.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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