How to define alternate interior angles and their special properties.
How to define alternate exterior angles and their special properties.
How to apply the triangle angle sum theorem.
How to use the principle that corresponding parts of congruent triangles are congruent, or CPCTC.
How to label an angle and how to differentiate between acute, right, obtuse, and straight angles.
How to derive the formula to find the sum of angles in any polygon.
How to define adjacent angles.
How to use the power reduction formulas to derive the half-angle formulas.
How to determine the relationship between the side inequalities and angle inequalities in a triangle.
How to use the sine and cosine addition formulas to prove the double-angle formulas.
How to prove that opposite angles in a cyclic quadrilateral are congruent; how to prove that parallel lines create congruent arcs in a circle.
How to relate the sides of an angle bisected and the lengths of the opposite side.
How to derive two more cosine double-angle formulas.
How to define and construct an angle bisector.
How to find the angle between planes, and how to determine if two planes are parallel or perpendicular.
How to describe same side interior and same side exterior angles and their special properties.
Overview of similarity: congruent angles, proportional corresponding sides