How to define a central angle and find the measure of its intercepted arc; how to describe the intercepted arcs of congruent chords.
How to describe same side interior and same side exterior angles and their special properties.
How to use a protractor to measure an angle.
How to prove two triangles are similar using a line parallel to a base.
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 differentiate between the words postulate, axiom, and conjecture.
How to find the shortest distance between a point and a line.
How to construct the incenter using a compass and straightedge.
How to identify a trapezoid and its special properties.
How to derive the equation for the distance between two points using the Pythagorean Theorem.
How to label the parts of a prism, how to distinguish between an oblique and a right prism.
How to convert between length and area ratios of similar polygons
How to identify a kite and its special properties.