How to derive the equation for the distance between two points using the Pythagorean Theorem.
How to organize a two column proof.
How to identify a segment from the vertex angle in an isosceles triangle to the opposite side.
How to define a polygon, how to distinguish between concave and convex polygons, how to name polygons.
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 rhombus and compare it to a square and rectangle.
How to define a rectangle and a square.
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 calculate the measure of an inscribed angle.
How to define the apothem and center of a polygon; how to divide a regular polygon into congruent triangles.
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.
How to define a circle and identify its main parts.