[MA2019] GEO-19 (9-12) 6 :
6. Derive the equation of a circle of given center and radius using the Pythagorean Theorem.
a. Given the endpoints of the diameter of a circle, use the midpoint formula to find its center and then use the Pythagorean Theorem to find its equation.
b. Derive the distance formula from the Pythagorean Theorem. [MA2019] GEO-19 (9-12) 32 :
32. Use coordinates to prove simple geometric theorems algebraically.