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 use the Pythagorean Theorem to find a missing leg, given the length of the hypotenuse and a leg.
How to define a secant; how to find the length of various secants in circles.
How to calculate the hypotenuse in a right triangle given the lengths of the legs using the Pythagorean Theorem.
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 volume of any pyramid.
How to calculate the measure of an inscribed angle.
How to derive the formula to calculate the area of a sector in a circle.
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 find the converse of a conditional statement and determine if it is true.
How to find the shortest distance between a point and a line.
How to find the sum of the exterior angles in a polygon and find the measure of one exterior angle in an equiangular polygon.
How to define inductive reasoning, and how to find numbers in a sequence.
How to derive the formula to find the sum of angles in any polygon.
How to find the measure of one angle in any equiangular or regular polygon.
How to find the length of tangent segments drawn to a circle from the same point.
How to find the area of any parallelogram using rectangle area formulas.
How to find the volume of any prism, right or oblique using a general formula.
How to use inverse trig functions to find angles in right triangles.
How to find the midpoint of a segment with endpoints in rectangular coordinates, How to write the midpoint formula.