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Angle

ALL trig ratios in one place

Subject: 
Trigonometry
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trigonometry
Angle
Generalized trigonometry
Pythagorean Theorem
Identity

Trigonometric Identities Reference Angle Measures Basic Trigonometry Ratios Pythagorean Theorems Quotient Identities Reciprocal Identities 180?
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Prove Lines Are Parallel

Subject: 
Geometry
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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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0
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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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0
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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??>?`?

Prove Angle Pair Relationships

Subject: 
Geometry
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Tags: 
Triangles
Angle
Congruence

??? ? ,ESSON?????s?'EOMETRY?.OTETAKING?'UIDE? #OPYRIGHT???-C$OUGAL?,ITTELL?(OUGHTON?-IFFLIN?#OMPANY? ??? 0ROVE?!NGLE?0AIR?2ELATIONSHIPS 'OAL? +?5SE?PROPERTIES?OF?SPECIAL?PAIRS?OF?ANGLES? 4(%/2%-????? ? ?2)'(4?!.',%3?#/.'25%.#%? 4(%/2%- !LL?RIGHT?ANGLES?ARE?? V??}??i??? ? 4(%/2%-????? ? ?#/.'25%.4?3500,%-%.43? 4(%/2%- )F?TWO?ANGLES?ARE?SUPPLEMENTARY?TO?THE?? ? ? ? ? SAME?ANGLE??OR?TO?CONGRUENT?ANGLES ??? THEN?THEY?ARE?? V??}??i??? ? )F????AND????ARE?SUPPLEMENTARY?AND????AND????? ARE?SUPPLEMENTARY??THEN?????????? ? 4(%/2%-????? ? ?#/.'25%.4?#/-0,%-%.43? 4(%/2%- )F?TWO?ANGLES?ARE?COMPLEMENTARY?TO?THE?? ? ? ? ? SAME?ANGLE??OR?TO?CONGRUENT?ANGLES ??? THEN?THEY?ARE?? V??}??i??? ? )F????AND????ARE?COMPLEMENTARY?AND????AND????ARE? COMPLEMENTARY??THEN???{?????? ?

Proving Cyclic Quadrilateral Rules

Subject: 
Geometry
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0
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Tags: 
geometry
Quadrilaterals
Cyclic quadrilateral
Inscribed angle
Circle
Angle
Circumscribed circle
Tangential quadrilateral
Ex-tangential quadrilateral
education

A Development of Proof Through Cyclic Quadrilaterals Developed by Kimberly Aitken This lesson was developed for use in a geometry class as a stepping stone towards the mastery of proof writing skills. It incorporates knowledge on the geometry of circles as well as angles, and it provides students with additional exposure beyond the curriculum on writing proofs.

Geometry

Subject: 
Geometry
Rating: 
0
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Tags: 
geometry
Triangles
Triangle geometry
Euclidean plane geometry
Polygons
Quadrilaterals
Triangle
Euclidean geometry
Rectangle
Angle
Area
Circle

GRADUATE RECORD EXAMINATIONS? Math Review Chapter 3: Geometry Copyright ? 2010 by Educational Testing Service. All rights reserved. ETS, the ETS logo, GRADUATE RECORD EXAMINATIONS, and GRE are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. ?

Geometry

Subject: 
Geometry
Rating: 
0
No votes yet
Tags: 
geometry
Triangles
Triangle geometry
Euclidean plane geometry
Polygons
Quadrilaterals
Triangle
Euclidean geometry
Rectangle
Angle
Area
Circle

GRADUATE RECORD EXAMINATIONS? Math Review Chapter 3: Geometry Copyright ? 2010 by Educational Testing Service. All rights reserved. ETS, the ETS logo, GRADUATE RECORD EXAMINATIONS, and GRE are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. ?
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