How to apply the triangle angle sum theorem.
How to derive the formula to find the sum of angles in any polygon.
How to identify supplementary and complementary angles.
How to determine the relationship between the side inequalities and angle inequalities in a triangle.
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 find the measure of one angle in any equiangular or regular polygon.
How to factor the sum or difference of cubes.
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 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 classify a triangle based on its side lengths and angle measures.
How to define an angle of elevation or an angle of depression.
How to define isosceles triangles, their components and how to determine their properties.
How to solve a problem when asked to switch the digits of a 2-digit number.
How to use the sine and cosine addition formulas to prove the double-angle formulas.
How to calculate the area of any triangle using two sides and an included angle.