- Write the equation in standardform.
 
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PerpendicularLines
LearningObjectives
- Identifycongruentlinearpairsof angles
 - Identifythe anglesformedby perpendicularintersectinglines
 - Identifycomplementaryadjacentangles
 
Introduction
Wherethey intersect,perpendicularlinesform right angles.This lessonexploresthe differentprop-
ertiesof perpendicularlines and how to understandthemin variousgeometricalcontexts.
Congruentlinearpairs
A LinearPair of Anglesis a pair of adjacentangleswhoseoutersidesform a straightline. The LinearPair
Postulatestatesthat the anglesof a linearpair are supplementary, that is, their measuresmustsum to
This makessensebecause is the measureof a straightangle.Whentwo anglesthat form alinearpair are congruent,thereis only one possiblemeasurefor eachof them— Rememberingthat
they mustsum to you can imaginehow to find two equalangles.The easiestway to do this is to divide
by 2, the numberof congruentangles.