Secants Tangents and Angle Measure Intersections On or

Secants, Tangents, and Angle Measure

Intersections On or Inside a Circle A line that intersects a circle in exactly two points is called a secant

Intersections On or Inside a Circle If two secants or chords intersect in the interior of a circle then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle

Intersections On or Inside a Circle intersect Ifof two inthe secants the interior orvertical chords ofmeasure a formed circle then the measure ofintercepted the angle is by one the half angle the arcs and sum its of the angle x 1 y

Intersections On or Inside a Circle 65 1 45

Intersections On or Inside a Circle If a secant (or chord) and a tangent intersect at the point of tangency Then the measure of each angle formed is one half the measure of its intercepted arc.

Intersections On or Inside a Circle Then the measure of each formed isof one its intercepted the measure arc If intersect a secant at (orhalf the chord) point and ofangle atangency tangent x y 1 2

Intersections On or Inside a Circle 200 160 1 2

Intersections Outside a Circle If secants and tangents intersect outside a circle they form an angle whose measure is related to the intercepted arcs

Intersections Outside a Circle If two secants, a secant and a tangent, or two tangents intersect in the exterior of a circle then the measure of the angle formed is one half the difference of the measures of the intercepted arcs

Intersections Outside a Circle Two secants x y 1

Intersections Outside a Circle A secant and a tangent x y 1

Intersections Outside a Circle Two tangents x y 1