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.
How to define a chord; how to describe the effect of a perpendicular bisector of a chord and the distance from the center of the circle.
How to define the tangent function for all angles.
How to define the apothem and center of a polygon; how to divide a regular polygon into congruent triangles.
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 classify a triangle based on its side lengths and angle measures.
How to define the sine ratio and identify the sine of an angle in a right triangle.
How to define the cosine ratio and identify the cosine of an angle in a right triangle.
How to define the tangent ratio and identify the tangent of an angle in a right triangle.
How to use inverse trig functions to find angles in right triangles.
How to calculate the area of any triangle using two sides and an included angle.