How to construct a midpoint and how to define a perpendicular bisector.
How to define and construct an angle bisector.
How to construct a perpendicular line at a point on a line.
How to determine whether lines are parallel, perpendicular, or neither.
How to label an angle bisector; how to use an angle bisector to find a missing variable.
How to determine whether two lines in space are parallel or perpendicular.
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 find the shortest distance between a point and a line.
How to relate the sides of an angle bisected and the lengths of the opposite side.
How to define a rhombus and compare it to a square and rectangle.
How to relate corresponding altitudes, medians and angle bisectors in similar triangles.
How to construct the circumcenter using a compass and straightedge.
How to find a vector normal (perpendicular) to a plane given an equation for the plane.
How to define point of concurrency; how to identify the four main points of concurrency in triangles.
Understanding transverse waves.
How to construct the incenter using a compass and straightedge.
How to find the angle between planes, and how to determine if two planes are parallel or perpendicular.
How to identify a segment from the vertex angle in an isosceles triangle to the opposite side.
How to define the components of a vector.