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lesson 19
1 hour

Equations for Tangent Lines to Circles


Description

This lesson builds on the understanding of equations of circles in Lessons 17 and 18 and on the understanding of tangent lines developed in Lesson 11. Further, the work in this lesson relies on knowledge from Module 4 related to G-GPE.B.4 and G-GPE.B.5. Specifically, students must be able to show that a particular point lies on a circle, compute the slope of a line, and derive the equation of a line that is perpendicular to a radius. The goal is for students to understand how to find equations for both lines with the same slope tangent to a given circle and to find the equation for a line tangent to a given circle from a point outside the circle.

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Credits

From EngageNY.org of the New York State Education Department. Geometry Module 5, Topic D, Lesson 19. Available from engageny.org/resource/geometry-module-5-topic-d-lesson-19; accessed 2015-05-29.
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