How to derive the area of a segment formula.
How to duplicate a line segment using a compass and straightedge.
How to find the length of tangent segments drawn to a circle from the same point.
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 prove two triangles are similar using a line parallel to a base.
How to define a median in a triangle.
How to define a midsegment in a triangle.
How to derive the formula for the midpoint of a segment in three dimensions.
How to derive the equation for the distance between two points using the Pythagorean Theorem.
How to identify a segment from the vertex angle in an isosceles triangle to the opposite side.
How to define an altitude and draw them on acute, right, and obtuse triangles.
How to identify the centroid and the way it divides each of the medians.
How to define a polygon, how to distinguish between concave and convex polygons, how to name polygons.
How to find the midpoint of a segment with endpoints in rectangular coordinates, How to write the midpoint formula.
How to understand what vectors are, and how they can be represented geometrically.