I'm working on an assignment in my Algebra II class right now, and my teacher wants me to examine the definition of the loci of a circle and the loci of an ellipse. Then describe at least 3 similarities in the definitions and, describe at least 2 differences in the definitions.
I'm so confused, I have read the chapter on it up and down and watched the video she gives us for help.. I'm so confused, help?
Even if you could point me in the right direction, please.
A circle is defined as "the locus of points a constant distance from a given point (the center)". An ellipse is defined by "the locus of points such that the sum of the distances from two given points (the foci)_ is constant". As you move the two foci closer and closer, the ellipse becomes closer and closer to a circle. When the two foci merge, the ellipse becomes a circle. How many of symmetry does a circle have? How many does an ellipse have.