How to relate the sides of an angle bisected and the lengths of the opposite side.
How to define and construct an angle bisector.
How to describe same side interior and same side exterior angles and their special properties.
How to classify a triangle based on its side lengths and angle measures.
How to find the measure of one angle in any equiangular or regular polygon.
How to define arc length and how it is different from arc measure; how to calculate the length of an arc.
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 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 to construct the incenter using a compass and straightedge.
How to define a secant; how to find the length of various secants in circles.
How to identify a trapezoid and its special properties.
How to identify a kite and its special properties.
How to derive the area formula of a kite based on the rectangle formula; how to calculate the area of a rectangle using diagonal lengths.
How to define the sine ratio and identify the sine of an angle in a right triangle.