# 3.8: Study Guide

**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*}

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

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*}

**Homework:**

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