Corollary 3 of Inscribed angle theorem
Include Formula
short definition
Corollary 3 of the Inscribed Angle Theorem states that an angle inscribed in a semicircle is a right angle.
Formula: If a line segment connecting the endpoints of an arc of a circle forms a semicircle, then any angle inscribed in that arc is a right angle.
Short definition: An angle formed by two points on a circle, where the two points are endpoints of a diameter of the circle, is a right angle.
Corollary 3 of the Inscribed Angle Theorem states that if an inscribed angle intercepts a diameter of the circle, then the angle is a right angle (90 degrees).
Formula:
In a circle, if an angle intercepts a diameter, then the angle measures 90 degrees. In other words:
m(arc) = 180 degrees,
m(angle) = 90 degrees.