Mathematics II Expressing Geometric Properties with Equations

<<Back

Expressing Geometric Properties with Equations

Resources

Translate between the geometric description and the equation for a conic section.
1. Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the
center and radius of a circle given by an equation.
tools-icon
2. Derive the equation of a parabola given a focus and directrix. tools-icon
Use coordinates to prove simple geometric theorems algebraically.
4. Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by
four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at
the origin and containing the point (0, 2). [Include simple circle theorems.]
tools-icon
6. Find the point on a directed line segment between two given points that partitions the segment in a given ratio. tools-icon