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 derive the equation for the distance between two points using the Pythagorean Theorem.
How to define the apothem and center of a polygon; how to divide a regular polygon into congruent triangles.
How to derive the equation for a circle using the distance formula.
How to find the shortest distance between a point and a line.
How to identify the centroid and the way it divides each of the medians.
How to determine the triangle side inequalities.
How to define and construct an angle bisector.
How to calculate the circumference of a circle.
How to identify a segment from the vertex angle in an isosceles triangle to the opposite side.
How to find the length of tangent segments drawn to a circle from the same point.
How to define a circle and a sphere using the word locus.
How to define arc length and how it is different from arc measure; how to calculate the length of an arc.
How to define a circle and identify its main parts.
How to perform and describe a dilation.