ALEX Classroom Resources

ALEX Classroom Resources  
   View Standards     Standard(s): [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.
Subject: Mathematics (9 - 12)
Title: Geometry Module 5, Topic D: Equations for Circles and Their Tangents
URL: https://www.engageny.org/resource/geometry-module-5-topic-d-overview
Description:

Module 5, Topic D brings in coordinate geometry to establish the equation of a circle. Students solve problems to find the equations of specific tangent lines or the coordinates of specific points of contact. They also express circles via analytic equations.



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