2. Tangent and Chord
• If a tangent and chord intersect at a
point on a circle, the measures of
each angle formed is ½ the
intercepted arc…much like the
vertex of an inscribed angle is on the
circle and it measures ½ the
intercepted ard.
3. Two Chords
• If two chords intersect in the interior
of a circle, the measure of each
angle is ½ the sum of the two arcs
intercepted by the angles
4. Tangents and Secants
• If a tangent and a secant, two
tangents, or two secants intersect in
the exterior of the circle, the
measure of the angle formed is ½
the difference of the intercepted arcs
5. Want it a little clearer?
• Basically, the point of intersection
falls in one of three locations:
– Outside the circle: ½ the difference of
the arcs created
– Inside the circle: ½ the sum of the arcs
created
– On the circle: ½ the arc created (just
like inscribed angles)
