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.
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 compute the angle between two vectors.
How to derive the formula to find the sum of angles in any polygon.
How to determine the relationship between the side inequalities and angle inequalities in a triangle.
How to use the power reduction formulas to derive the half-angle formulas.
How to use the sine and cosine addition formulas to prove the double-angle formulas.
How to relate the sides of an angle bisected and the lengths of the opposite side.
How to identify a segment from the vertex angle in an isosceles triangle to the opposite side.
How to find the vertex, intercepts, domain and range of a quadratic graph.
How to derive two more cosine double-angle formulas.
How to define and construct an angle bisector.