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3.8: 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*}1st Section: Lines and Angles

Parallel

Skew lines

Parallel Postulate

Perpendicular Line Postulate

Constructing a Perpendicular Line through a Point not on a Line

Constructing a Perpendicular Line through a Point on a Line

Transversal

Corresponding Angles

Alternate Interior Angles

Alternate Exterior Angles

Same Side Interior Angles

Homework:

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

Corresponding Angles Postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Same Side Interior Angles Theorem

Homework:

\begin{align*}3^{rd}\end{align*}3rd Section: Proving Lines Parallel

Converse of Corresponding Angles Postulate

Converse of Alternate Interior Angles Theorem

Converse of the Alternate Exterior Angles Theorem

Converse of the Same Side Interior Angles Theorem

Parallel Lines Property

Homework:

\begin{align*}4^{th}\end{align*}4th Section: Properties of Perpendicular Lines

Congruent Linear Pairs

Theorem 3-1

Theorem 3-2

Adjacent Complementary Angles

Homework:

\begin{align*}5^{th}\end{align*}5th Section: Parallel and Perpendicular Lines in the Coordinate Plane

Slope

\begin{align*}y-\end{align*}yintercept

Slope-intercept form (\begin{align*}y-\end{align*}yintercept form)

Standard Form

Finding the equation of a Line

Finding the equation of a Parallel Line to a Given Line

Finding the equation of a Perpendicular Line to a Given Line

Homework:

\begin{align*}6^{th}\end{align*}6th Section: The Distance Formula

Distance Formula

Distance between Vertical and Horizontal Lines

Distance between Lines with \begin{align*}m = 1\end{align*}m=1 or -1

Homework:

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CK.MAT.ENG.SE.1.Geometry-Basic.3.8

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