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3.7: Chapter 3 Review

Difficulty Level: At Grade Created by: CK-12

Symbol Toolbox

\begin{align*}||\end{align*} parallel

\begin{align*}\perp\end{align*} perpendicular

Keywords & Theorems

Lines and Angles

  • Parallel
  • Skew lines
  • Parallel Postulate
  • Perpendicular Line Postulate
  • Transversal
  • Corresponding Angles
  • Alternate Interior Angles
  • Alternate Exterior Angles
  • Same Side Interior Angles

Properties of Parallel Lines

  • Corresponding Angles Postulate
  • Alternate Interior Angles Theorem
  • Alternate Exterior Angles Theorem
  • Same Side Interior Angles Theorem

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

Properties of Perpendicular Lines

  • Congruent Linear Pairs
  • Theorem 3-1
  • Theorem 3-2
  • Adjacent Complementary Angles

Parallel and Perpendicular Lines in the Coordinate Plane

  • Slope
  • Slope-intercept form (\begin{align*}y-\end{align*}intercept form)
  • Standard Form

Distance Formula

  • Distance Formula

Review

Find the value of each of the numbered angles below.

Texas Instruments Resources

In the CK-12 Texas Instruments Geometry FlexBook, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9688.

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CK.MAT.ENG.SE.1.Geometry-Basic.3.7