How to label an angle bisector; how to use an angle bisector to find a missing variable.
How to define and construct an angle bisector.
How to relate the sides of an angle bisected and the lengths of the opposite side.
How to construct a midpoint and how to define a perpendicular bisector.
How to define an angle of elevation or an angle of depression.
How to identify supplementary and complementary angles.
How to calculate the measure of an inscribed angle.
How to define exterior angles and their remote interior angles and how to prove their properties.
Vocabulary of angles and how to measure an angle with a protractor
How to define corresponding angles and their special properties.
How to relate corresponding altitudes, medians and angle bisectors in similar triangles.
How to duplicate an angle using a compass and straightedge.
How to find the sum of the exterior angles in a polygon and find the measure of one exterior angle in an equiangular polygon.
How to measure angles using degrees or radians.
How to prove that an angle inscribed in a semicircle is a right angle; how to solve for arcs and angles formed by a chord drawn to a point of tangency.
How to find the angle of inclination of a line.