How to construct parallel lines using three different methods.
How to measure the sine and cosine of 150.
How do we measure sine and cosine of pi/4?
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 identify a segment from the vertex angle in an isosceles triangle to the opposite side.
How to relate corresponding altitudes, medians and angle bisectors in similar triangles.
How to use the ASA and AAS shortcuts to determine the congruence of two triangles.
How to define a tangent line; how to determine the angle a radius to a tangent forms.
How to define isosceles triangles, their components and how to determine their properties.
How to evaluate the tangent of 3*pi/4.
How to determine if two triangles in a circle are similar and how to prove that three similar triangles exist in a right triangle with an altitude.
How to identify all of the special properties of parallelograms and use them to solve problems.
How we define sine and cosine for all angle measures using the unit circle.
How to construct the incenter using a compass and straightedge.
Overview of similarity: congruent angles, proportional corresponding sides