Frequently Asked Questions
What is the inscribed angle theorem?
An inscribed angle is exactly half the central angle that subtends the same arc. The central angle equals the arc measure.
Why is Thales' theorem a special case?
An inscribed angle whose chord is a diameter subtends a semicircle of 180 degrees. By the inscribed angle theorem the inscribed angle is half that, that is 90 degrees, so any triangle inscribed in a semicircle with the diameter as one side is right-angled at the third vertex.
Do inscribed angles all match?
Yes - all inscribed angles that subtend the same arc are equal, no matter where the vertex sits on the opposite arc.
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