How to define a tangent line; how to determine the angle a radius to a tangent forms.
How to define and label a line segment.
How to construct a perpendicular line at a point on a line.
How to mark parallel lines, how to show lines are parallel, and how to compare skew and parallel lines.
How to find the length of tangent segments drawn to a circle from the same point.
How to identify parallel lines, a line parallel to a plane, and two parallel planes.
How to take the converse of the parallel lines theorem.
How to find the shortest distance between a point and a line.
How to define the tangent ratio and identify the tangent of an angle in a right triangle.
How to prove two triangles are similar using a line parallel to a base.
How to describe and label point, line, and plane. How to define coplanar and collinear.
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 prove that opposite angles in a cyclic quadrilateral are congruent; how to prove that parallel lines create congruent arcs in a circle.
How to duplicate a line segment using a compass and straightedge.
How to construct parallel lines using three different methods.
How to derive the equation for a circle using the distance formula.
How to solve equations using square roots or cube roots.
How to define and identify vertical angles.
How to define corresponding angles and their special properties.
How to identify, define, and label rays and opposite rays.