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9.9: Study Guide

Difficulty Level: At Grade Created by: CK-12

Keywords: Define, write theorems, and/or draw a diagram for each word below.

\begin{align*}1^{st}\end{align*} Section: Parts of Circles & Tangent Lines

Circle

Radius

Diameter

Tangent

Congruent Circles

Concentric Circles

Externally Tangent Circles

Internally Tangent Circles

Common Internal Tangent

Common External Tangent

Tangent to a Circle Theorem

Theorem 9-2

Center

Chord

Secant

Point of Tangency

Homework:

\begin{align*}2^{nd}\end{align*} Section: Properties of Arcs

Central Angle

Arc

Semicircle

Minor Arc

Major Arc

Congruent Arcs

Arc Addition Postulate

Homework:

\begin{align*}3^{rd}\end{align*} Section: Properties of Chords

Theorem 9-3

Theorem 9-4

Theorem 9-5

Theorem 9-6

Homework:

\begin{align*}4^{th}\end{align*} Section: Inscribed Angles

Inscribed Angle

Intercepted Arc

Inscribed Angle Theorem

Theorem 9-8

Theorem 9-9

Inscribed Polygon

Theorem 9-10

Homework:

\begin{align*}5^{th}\end{align*} Section: Angles from Chords, Secants and Tangents

Theorem 9-11

Theorem 9-12

Theorem 9-13

Homework:

\begin{align*}6^{th}\end{align*} Section: Segments from Secants and Tangents

Theorem 9-14

Theorem 9-15

Theorem 9-16

Homework:

Extension: Equations of Circles

Standard Equation of a Circle

Homework:

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CK.MAT.ENG.SE.1.Geometry-Basic.9.9