How to construct a perpendicular line at a point on a line.
How to construct a midpoint and how to define a perpendicular bisector.
How to determine whether lines are parallel, perpendicular, or neither.
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 a chord; how to describe the effect of a perpendicular bisector of a chord and the distance from the center of the circle.
Understanding transverse waves.
How to find the angle between planes, and how to determine if two planes are parallel or perpendicular.
How to define and construct an angle bisector.
How to construct the circumcenter using a compass and straightedge.
How to define the components of a vector.
How to find the resultant of two forces when they are parallel, opposite, or perpendicular in direction.
How to define an altitude and draw them on acute, right, and obtuse triangles.
How to define a rhombus and compare it to a square and rectangle.
How to define a tangent line; how to determine the angle a radius to a tangent forms.
How to define point of concurrency; how to identify the four main points of concurrency in triangles.
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.