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Perpendicular

Identify Pairs of Lines and Angles

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??? ? ,ESSON?????s?'EOMETRY?.OTETAKING?'UIDE? #OPYRIGHT???-C$OUGAL?,ITTELL?(OUGHTON?-IFFLIN?#OMPANY? ??? )DENTIFY?0AIRS?OF?,INES?AND? !NGLES 'OAL? +??)DENTIFY?ANGLE?PAIRS?FORMED?BY?THREE?INTERSECTING? LINES? 6/#!"5,!29 0ARALLEL?LINES??/??????i??>?i??>?>??i?????i???v???i??`?? ???????i??iV??>?`?>?i?V???>?>?? 3KEW?LINES?/??????i??>?i???i?????i???v???i??`?????? ???i??iV??>?`?>?i?????V???>?>?? 0ARALLEL?PLANES??/?????>?i????>??`?????????i??iV??>?i? ?>?>??i????>?i?? 4RANSVERSAL??????>???i??>?????>????i???>?????i??iV??? ??????????i?V???>?>?????i??>??`?vvi?i?????????? #ORRESPONDING?ANGLES??/???>?}?i??>?i?V???i????`??}? >?}?i???v???i???>?i?V???i????`??}??????????? !LTERNATE?INTERIOR?ANGLES??/???>?}?i??>?i?>??i??>?i? ???i?????>?}?i???v???i????i?Li??ii????i????????i??>?`?

Use Postulates and Diagrams

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#OPYRIGHT???-C$OUGAL?,ITTELL?(OUGHTON?-IFFLIN?#OMPANY?? ,ESSON?????s?'EOMETRY?.OTETAKING?'UIDE? ? ?? 9OUR?.OTES ??? 5SE?0OSTULATES?AND?$IAGRAMS 'OAL? +?5SE?POSTULATES?INVOLVING?POINTS??LINES??AND?PLANES? 6/#!"5,!29 ,INE?PERPENDICULAR?TO?A?PLANE???????i?????i??i?`?V??>?? ???>???>?i??v?>?`???????v???i????i????i??iV?????i???>?i? ???>???????>?`?????i??i?`?V??>?????i?i??????i??????i? ??>?i???>?????i??iV??????>????>???????? 0/).4??,).%??!.$?0,!.%?0/345,!4%3 0OSTULATE??? ?4HROUGH?ANY?TWO?POINTS?THERE?EXISTS?EXACTLY? ONE?? ???i? ? 0OSTULATE??? !?LINE?CONTAINS?AT?LEAST?TWO?? ??????? ? 0OSTULATE??? ?)F?TWO?LINES?INTERSECT??THEN?THEIR?INTERSECTION? IS?EXACTLY?? ??i??????? ? 0OSTULATE??? ?4HROUGH?ANY?THREE?? ???V?????i>?? ?POINTS? THERE?EXISTS?EXACTLY?ONE?PLANE?

6.2 Notes

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Unit 6 ? Linear Functions ? Slopes of Parallel & Perpendicular Lines Example 1 Plot points A(-4, 0) and B(-2, 4) and connect them. Plot points C(0, -2) and D(3, 4) and connect them. a) Calculate the slope of each line segment. b) What do you notice about the lines on the graph? Example 2 Plot points A(1, 4) and B(-2, 3) and connect them. Plot points C(-2, 5) and D(0, -1) and connect them. a) Calculate the slope of each line segment. b) What do you notice about the lines on the graph? Parallel lines have ________________ slope. Perpendicular lines have slopes that are the ______________________ of each other. When you multiply the slopes of perpendicular lines together, the product will be ______.
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