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 find the shortest distance between a point and a line.
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 and construct an angle bisector.
How to construct the circumcenter using a compass and straightedge.
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.