AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

Parallel

Prove Lines Are Parallel

Subject: 
Geometry
Rating: 
0
No votes yet
Tags: 
Elementary geometry
Transversal
Parallel
Angle
line

#OPYRIGHT???-C$OUGAL?,ITTELL?(OUGHTON?-IFFLIN?#OMPANY?? ,ESSON?????s?'EOMETRY?.OTETAKING?'UIDE? ? ?? ??? 6/#!"5,!29 0ARAGRAPH?PROOF????????v?V>??Li??????i????? ?>?>}?>???v???]?V>??i`?>??>?>}?>???????v? 0/345,!4%???? ? ?#/22%30/.$).'?!.',%3? #/.6%23% )F?TWO?LINES?ARE?CUT?BY?A?TRANSVERSAL? ? ? ? ? ? SO?THE?CORRESPONDING?ANGLES?ARE?? CONGRUENT??THEN?THE?LINES?ARE?? ? ?>?>??i??? &IND?THE?VALUE?OF?X?THAT?MAKES?MIN?? ? ? ??? ????????? 3OLUTION ,INES?M?AND?N?ARE?PARALLEL?IF?THE?? MARKED?CORRESPONDING?ANGLES?? ARE?CONGRUENT? ??X???? ????? ???? ?? 5SE?0OSTULATE????TO?WRITE?AN?EQUATION? ? ?X???? ?n?? 3UBTRACT?? ???FROM?EACH?SIDE? ? X???? ?{?? $IVIDE?EACH?SIDE?BY?? ?? ? 4HE?LINES?M?AND?N?ARE?PARALLEL?WHEN?X???? ?{?? %XAMPLE??? !PPLY?THE?#ORRESPONDING?!NGLES?#ONVERSE ? ???

Use Parallel Lines and Transversals

Subject: 
Geometry
Rating: 
0
No votes yet
Tags: 
Elementary geometry
Transversal
Parallel
Angle
Tetrahedron
line

??? ? ,ESSON?????s?'EOMETRY?.OTETAKING?'UIDE? #OPYRIGHT???-C$OUGAL?,ITTELL?(OUGHTON?-IFFLIN?#OMPANY? 0/345,!4%???? ? ?#/22%30/.$).'?!.',%3? 0/345,!4% )F?TWO?PARALLEL?LINES?ARE?CUT??? ? ? ? ? ? ? BY?A?TRANSVERSAL??THEN?THE?PAIRS?? OF?CORRESPONDING?ANGLES?ARE?? ? V??}??i??? ? 4HE?MEASURE?OF?THREE?OF?THE?NUMBERED?? ? ? ? ???? ? ? ? ? ? ANGLES?IS???????)DENTIFY?THE?ANGLES??? %XPLAIN?YOUR?REASONING? 3OLUTION "Y?THE?#ORRESPONDING?!NGLES?0OSTULATE??? ? ???? ????????? 5SING?THE?6ERTICAL?!NGLES?#ONGRUENCE?4HEOREM??? ? ???? ????????? "ECAUSE????AND????ARE?CORRESPONDING?ANGLES??BY?THE?? ? ???i????`??}???}?i??*?????>?i? ??YOU?KNOW? THAT?? ??x? ????????? %XAMPLE??? )DENTIFY?CONGRUENT?ANGLES ? ??? )F?M??????????FIND?M????M?????? ?? ? ? ? ? ? ? ? AND?M????4ELL?WHICH?POSTULATE?OR??

Identify Pairs of Lines and Angles

Subject: 
Geometry
Rating: 
0
No votes yet
Tags: 
Elementary geometry
Transversal
Perpendicular
Parallel
Angle
Tetrahedron
line

??? ? ,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??>?`?

6.2 Notes

Subject: 
Algebra
Rating: 
0
No votes yet
Tags: 
geometry
Elementary geometry
Quadrilaterals
Analytic geometry
Orientation
Perpendicular
Slope
line
Trapezoid
Parallelogram
Rectangle
Parallel

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 ______.

Imperial Parallels: Rome and Han China

Subject: 
World History
Rating: 
0
No votes yet
SocialTags: 
Humanities
Digital media
Human–computer interaction
Information Age
World Wide Web
CNote
Han Dynasty
Internet
Technology
Tags: 
world
history
Rome
china
Han
Parallel
Imperial
empire
AP

Imperial Parallels in Rome and Han China Family headed by all-powerful patriarch Strong loyalties bound family members Agriculture: fundamental economic activity Revenues from percentage of annual harvest Depended on free peasantry for military service and forced labor Rulers secured power by breaking the powers of old aristocratic families, seizing land, and doling it out to farmers (kept large tracts for themselves as well) State declined when wealthy noblemen took it back Spread out from ethnically homogeneous core to widespread territories Brought cultural unity to the region Skilled farmers with high crop yields led to population boom Less space ( migration to new territories Advanced Roads Created network of cities and towns
Subscribe to RSS - Parallel

Need Help?

We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.

For general help, questions, and suggestions, try our dedicated support forums.

If you need to contact the Course-Notes.Org web experience team, please use our contact form.

Need Notes?

While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!