Overview: Lines And Circles

concepts · 5

1. 01

   Intersecting Lines: Secants And Tangents

   Student can formally distinguish between non-intersecting lines, secants, and tangents, and define the point of contact.

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2. 02

   The Tangent-Radius Theorem

   Student can prove and apply Theorem 10.1 (tangent is perpendicular to radius at point of contact) to find missing lengths.

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3. 03

   Tangents From An External Point

   Student can state the number of tangents from points relative to the circle and prove/apply Theorem 10.2 (Lengths of external tangents are equal).

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4. 04

   Complex Tangent Systems

   Student can combine perpendicularity (Theorem 10.1) and equal lengths (Theorem 10.2) to solve complex multi-step geometric proofs and calculation problems.

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5. 05

   Chapter Review: Circles

   Consolidate understanding of tangent properties and apply them to mixed-difficulty proofs and calculations.

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