Nonlinear Equations and Functions Question
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Grade 11 Nonlinear Equations and Functions CCSS: HSG-GPE.A.1
In the first question, the stipulation on the point (x,y) was made that the x-coordinate could not be 3, and the y-coordinate could not be 4. Why was this?
- These points do not actually occur on the circle, and so would have caused an error in the derivation.
- If a point met either of these criteria, it would be either directly above, below, to the right of, or to the left of the center of the circle. This would have made creating a right triangle with legs that have slope of 0 and undefined impossible.
- These points would have resulted in complex values (calculations involving imaginary numbers), and led to serious complications in the derivation process.
- The points that meet these criteria result in triangles which are not right triangles.