How to relate the sides of an angle bisected and the lengths of the opposite side.
How to solve proportions.
How to label an angle bisector; how to use an angle bisector to find a missing variable.
How to solve a simple proportion.
How to define and construct an angle bisector.
How to determine the relationship between the side inequalities and angle inequalities in a triangle.
How to write ratios to compare two quantities.
How to describe same side interior and same side exterior angles and their special properties.
Understanding the laws of definite and multiple proportions.
How to construct a midpoint and how to define a perpendicular bisector.
How to relate corresponding altitudes, medians and angle bisectors in similar triangles.
How to identify a segment from the vertex angle in an isosceles triangle to the opposite side.
How to determine the triangle side inequalities.
How to define adjacent angles.
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.