Circumscribed Triangles Investigation

This investigation will be assessed against Criteria B and C. Remember that you will need to write and Introduction and Conclusion. These can be written last. You will also need evidence for your answers. This includes screen clips and data. Introduction: Spend some time playing with the points on the circle to see what happens. Make sure you understand what is in the algebra column and how it is connected to the diagram. Part A: Circle Theorems [Criterion B Levels 1-4] 1. (a)Compare the size of Angle A and the Central Angle BOC. • Move point B around and record different values for both angles. Record your data in a table. • What do you notice? Explain using sketches and your data. (b) Repeat this for the following pairs of angles: • Angle B and Central Angle COA • Angle C and Central Angle AOB Remember to record your data and explain any patterns (c) Write conjectures summarising any patterns you found. 2. (a) Move point C so that the line “a” goes straight through the center of the circle. • What do you notice about the Angle A? (b) Move the point C back, and then move point A so that the line “c” goes through the center of the circle. What do you notice about Angle C? (c) Make line “b” go through the center and comment on the size of Angle B. (d) Write conjectures describing any patterns you found.