Use Inscribed Angles
and Polygons
Use Inscribed Angles and
Polygons
• Sketch inscribed angles, intercepted arcs,
inscribed polygons, and circumscribed circles.
• Use the properties of these objects to solve for
missing values.
• Language Objectives:
• Define: Inscribed angle, intercepted arc, inscribed
polygon, circumscribed circle.
Vocabulary
Properties of Inscribed
Angles
• The measure of an inscribed angle is one half the
measure of its intercepted arc.
Examples
෢ and 𝑚∠𝑇 and 𝑚𝑄𝑅.
෢
• Find 𝑚𝑄𝑇
Proof Example
• Show that the two triangles in the figure below are
similar.
InscrIbed QuadrIlaterals
Examples