Circle theorems and geogebra
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Draw various shapes like circles, tangents, chords, radii, and diameters using Geogebra. Explore properties of circles like triangles formed from the center are always isosceles, angles subtended from the diameter are always 90 degrees, and the angle between a tangent and radius is always 90 degrees. Document findings in a PowerPoint with answers to questions and diagrams to show theorems are always true.
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Circle theorems and geogebra
- 1. 1 Follow these instructions below to discover some interesting theorems about circles using Geogebra. This is a free download that you can use at home! Make sure you copy all your work onto a PowerPoint including all the answers to the questions posed and upload Task A 1) Try to draw : tangent, chord, radius and diameter. 2) Also draw a triangle with the vertex at the centre of the circle. What kind of triangle is this? Here are some instructions how to draw a circle. Drawing a circle
- 2. 2 Task B Angles subtended from the diameter at the circumference Drawing a line through the centre Add another point C Draw a ray between two point Measure the angle Now move your point D. What do you notice about the angle? Angles between Tangent and Radius Reproduce this diagram and state the theorem. Make sure you use the arrow tool to move the points to see whether your theorem is always true.