Higher Mathematics- G.C.2. Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central,inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
This short video provides a brief but meaningful overview of Circle Theorems.
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Examples of Circle Theorem applications:
Please click the link below to respond to the following question:
'Thales' Theorem' tells us that if a triangle is inscribed inside a circle, where one side of the triangle is the diameter of the circle, then the angle opposite to that side is a right angle. What is the converse of this statement? If the converse holds provide an outline of the proof, if it does not hold provide a counter-example where it fails.