How to derive the area of a segment formula.
How to construct a perpendicular line at a point on a line.
How to duplicate a line segment using a compass and straightedge.
How to construct a midpoint and how to define a perpendicular bisector.
How to find the length of tangent segments drawn to a circle from the same point.
How to determine whether lines are parallel, perpendicular, or neither.
How to define and label a line segment.
How to write the parametric equations of a line segment that goes from point A to point B.
How to identify, define and label a midpoint.
How to determine whether two lines in space are parallel or perpendicular.
How to find the shortest distance between a point and a line.
How to find a vector normal (perpendicular) to a plane given an equation for the plane.
How to define an altitude and draw them on acute, right, and obtuse triangles.
How to prove two triangles are similar using a line parallel to a base.
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 a median in a triangle.
How to define a midsegment in a triangle.
Understanding transverse waves.
How to find the angle between planes, and how to determine if two planes are parallel or perpendicular.