Inscribed Angle Intercepts Semicircle
- Tim Brzezinski
Use coordinate geometry to prove that in a circle, an inscribed angle that intercepts a semicircle is a right angle. That is, write a coordinate geometry proof that formally proves what this applet informally illustrates. Hint: Write the equation of the provided circle in standard form first, and use coordinate geometry to prove that the two sides of this inscribed angle are perpendicular.