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Elementary geometry

Prove Lines Are Parallel

Subject: 
Geometry
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0
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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
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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
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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??>?`?

Use Postulates and Diagrams

Subject: 
Geometry
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Tags: 
Elementary geometry
line
Plane
Perpendicular

#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?

Use Segments and Congruence

Subject: 
Geometry
Rating: 
0
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Tags: 
Linear algebra
Elementary geometry
Line Segment

#OPYRIGHT???-C$OUGAL?,ITTELL?(OUGHTON?-IFFLIN?#OMPANY?? ,ESSON?????s?'EOMETRY?.OTETAKING?'UIDE? ? ? 9OUR?.OTES ??? 5SE?3EGMENTS?AND?#ONGRUENCE 'OAL? +??5SE?SEGMENT?POSTULATES?TO?IDENTIFY?CONGRUENT? SEGMENTS? 6/#!"5,!29 0OSTULATE??AXIOM???????i???>?????>VVi??i`????????? ????v 4HEOREM???????i???>??V>??Li?????i` #OORDINATE??/?i??i>?????Li????>??V???i????`?????>? ????? $ISTANCE??/?i?`???>?Vi?Li??ii??????????????? >?`? ]??????i??>??? ]??????i?>L?????i??>??i??v???i? `?vvi?i?Vi??v???i?V???`??>?i???v???>?`? ? "ETWEEN??7?i?????ii????????>?i?V?????i>?]?????V>?? ?>????>????i??????????Li??ii????i????i?????? #ONGRUENT?SEGMENTS?????i??i}?i??????>???>?i???i? ?>?i??i?}?? 0/345,!4%??? 25,%2?0/345,!4% 4HE?POINTS?ON?A?LINE?CAN?BE? ? ?? ?????? ? ??? ????? ????????? ? ??? ? ???? ?

AP Calc AB 2004 Scoring Guidelines (Form B)

Subject: 
Calculus
Rating: 
0
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Tags: 
Mathematical analysis
Mathematics
Functions and mappings
Integral calculus
Analytic geometry
Differential geometry
Elementary geometry
Tangent
integral
Calculus
Mean value theorem
Antiderivative
education

AP? Calculus AB 2004 Scoring Guidelines Form B The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the association is composed of more than 4,500 schools, colleges, universities, and other educational organizations. Each year, the College Board serves over three million students and their parents, 23,000 high schools, and 3,500 colleges through major programs and services in college admissions, guidance, assessment, financial aid, enrollment, and teaching and learning. Among its best-known programs are the SAT?, the PSAT/NMSQT?, and the Advanced Placement Program? (AP?). The College Board is committed to the principles of

6.2 Notes

Subject: 
Algebra
Rating: 
0
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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 ______.

Geometry: Line Segment

Subject: 
Geometry
Rating: 
0
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Tags: 
behavior
Human development
Interpersonal relationships
Love
Psychoanalysis
Human behavior
Elementary geometry
Attachment theory
Line Segment
Personal life
Technology

Geometry When drawing a line segment make sure to have the two endpoints marked and correctly labeled. A B This is the proper label to a line segment
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