- parallellines dividethe planeinto regions[Diff: 3]
- D [Diff: 3]
- A [Diff: 3]
ParallelLinesand Transversals
LearningObjectives
- Identifyanglesformedby two parallellines and a non-perpendiculartransversal.
- Identifyand use the CorrespondingAnglesPostulate.
- Identifyand use the AlternateInteriorAnglesTheorem.
- Identifyand use the AlternateExteriorAnglesTheorem.
- Identifyand use the ConsecutiveInteriorAnglesTheorem.
Introduction
In the last lesson,you learnedto identifydifferentcategoriesof anglesformedby intersectinglines.This
lessonbuildson that knowledgeby identifyingthe mathematicalrelationshipsinherentwithinthesecategories.
ParallelLineswith a Transversal—Reviewof Terms
As a quickreview, it is helpfulto practiceidentifyingdifferentcategoriesof angles.
Example 1
In the diagrambelow, two verticalparallellines are cut by a transversal.Identifythe pairsof correspondingangles,alternateinteriorangles,alternateexteriorangles,and consecutive
interiorangles.
- Correspondingangles:Correspondinganglesare formedon differentlines,but in the samerelativepo-
sitionto the transversal—inotherwords,they face the samedirection.Thereare four pairsof correspond-
ing anglesin this diagram— and , and , and , and and.