Angle Relationships in Circles

Question 1

What is the Tangent Secant Theorem?

Answer 1

If a Tangent and a Secant (or Chord) intersect on a Circle at the point of Tangency, then the measure of the Angle formed is half the measure of its intercepted Arc.

mABC=1/2(mAC). (m=measure of).

Question 2

What is the Secant-Chord Theorem?

Answer 2

If two Secants or Chords intersect in the interior of a Circle, then the measure of each Angle formed is half the sum of the measures of its intercepted Arcs.

Question 3

What is the Multiple Tangent and Secant Theorem?

Answer 3

If a Tangent and a Secant, two Tangents, or two Secants intersect in the exterior of a Circle, then the measure of the Angle formed is half the difference of the measures of its intercepted Arcs.

Question 4

What is the Tangent of a Secant Theorem?

Answer 4

If a Tangent of a Secant (or Chord) intersect on a Circle at the point of Tangency, then the measure of the Angle formed is half the measure of its intercepted Arc.