How to solve a simple proportion.
How to derive the area of a segment formula.
How to duplicate a line segment using a compass and straightedge.
How to prove two triangles are similar using a line parallel to a base.
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 identify, define and label a midpoint.
How to identify the centroid and the way it divides each of the medians.
How to define a median in a triangle.
How to define a midsegment in a triangle.
How to derive the equation for the distance between two points using the Pythagorean Theorem.
How to determine if two triangles are similar using a shortcut.
How to relate corresponding altitudes, medians and angle bisectors in similar triangles.
How to relate the sides of an angle bisected and the lengths of the opposite side.
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 define a secant; how to find the length of various secants in circles.
How to identify if two figures are similar.
How to find the midpoint of a segment with endpoints in rectangular coordinates, How to write the midpoint formula.