Download 11.4 Inscribed Angles

11.4 Inscribed Angles
Geometry
Definitions:



Inscribed Angle- Angle whose vertex is on a
circle and whose sides contain chords of the
circle.
Intercepted Arc- consists of endpoints that lie
on the sides of an inscribed angle and all of
the points of the circle between them.
Subtends- A segment or arc subtends an
angle if endpoints lie on the sides of the
angle
Diagram:
Inscribed Angle Theorem
Examples:

Find each measure.
–
mPRU
–
mSP
Example:

Find each measure.
–
–
mDAE
Corollary (Easily proven theorem)
Examples:

Find mEDF.
Example:

Find mLJM.
Example:

Find mABD and mBC in the string art.
Theorem
Example:

Find a.
Example:

Find z.
Example:

Find each
measurement.
–
RUS
–
a
Theorem
Example:

Find the angle measures of GHJK.
Example:

Find the angle measures of JKLM.
Example:

Find the angle
measures of ABCD.