Transcript 6.5 Other Angle Relationships in Circles

6.5 Other Angle Relationships in Circles
Theorem 6.13
If a tangent and a
chord intersect at a
point on the circle,
then the measure of
each angle formed is
one half the
measure of its
intercepted arc.
http://demonstrations.wolfram.com/TangentChordAngle/
• Worksheet # 1 - 12
Theorem 6.14
Angles Inside the Circle
Theorem:
If two chords intersect
inside a circle, then the
measure of each angle
is one half the sum of
the measures of the
arcs intercepted by the
angle and its vertical
angle.
• Worksheet # 13 - 24
Theorem 6.15
Angles Outside the
Circle Theorem:
If a tangent and a
secant, two tangents or
two secants intersect
outside a circle, then
the measure of the
angle formed is one
half the difference of
the measures of the
intercepted arcs.
• Worksheet # 25 - 36
Angles: On, Inside, Outside
• On: Angle is half the intercepted arc.
• Inside: Angle is half the sum of the intercepted
arcs.
• Outside: Angle is half the difference of the
intercepted arcs.
Find m<1
Find mEFG
Find the values of x and y.
Find the value of x.
Find the value of x.
Find the value of x.
• Worksheet # 37 – 67 odds
• Homework # 38 – 69 evens