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Inscribed and Central Angles Math 490 Class Materials
Inscribed and Central Angles Math 490 Class
Materials
Professor Kellie Evans (kellie.m.evans@csun.edu)
Using the applets below, you will experiment and make observations and
conjectures. In
class, you will discuss and prove your findings.
Use the following experiment to discover the relationship between a
circle's
central and inscribed angles.
In the experiment above, name a central angle using its vertex
point and points on its sides
Name an inscribed angle.
Write down at least two things you noticed when you moved point D
around.
Write down at least two things you wonder about this experiment.
Make a conjecture about the relationship between an inscribed
angle and its central angle.
For the next experiment, move the points on quadrilateral $BCDE$. Write
down at least two observations.
Use the next experiment to start a proof of Ptolemy's theorem. Then
complete the proof.