1-9th-Congruence of Triangles

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Published on May 31, 2013

Author: allwynasir

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KENDRIYA VIDYALAYA VIJAYANARAYANAM: KENDRIYA VIDYALAYA VIJAYANARAYANAM IX CLASS MathS Congruence of Triangles S.JASMINE SUGIRTHA 1 MATHS Congruence of Triangles: Congruence of Triangles S.JASMINE SUGIRTHA 2 MATHS PowerPoint Presentation: Two geometric figures with exactly the same size and shape. The Idea of a Congruence A C B D E F 3 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: How much do you need to know. . . . . . about two triangles to prove that they are congruent? 4 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: In Lesson 4.2, you learned that if all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent. Corresponding Parts ABC   DEF B A C E D F AB  DE BC  EF AC  DF  A   D  B   E  C   F 5 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: Do you need all six ? NO ! SSS SAS ASA AAS 6 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: Side-Side-Side (SSS) AB  DE BC  EF AC  DF ABC   DEF B A C E D F 7 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: Side-Angle-Side (SAS) AB  DE  A   D AC  DF ABC   DEF B A C E D F included angle 8 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: The angle between two sides Included Angle  G  I  H 9 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: Name the included angle: Y E and E S E S and Y S Y S and Y E Included Angle S Y E  E  S  Y 10 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: Angle-Side- Angle (ASA)  A   D AB  DE  B   E ABC   DEF B A C E D F included side 11 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: The side between two angles Included Side GI HI GH 12 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: Name the included angle:  Y and  E  E and  S  S and  Y Included Side S Y E YE ES SY 13 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: Angle-Angle-Side (AAS)  A   D  B   E BC  EF ABC   DEF B A C E D F Non-included side 14 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: Warning: No SSA Postulate A C B D E F NOT CONGRUENT There is no such thing as an SSA postulate! 15 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: Warning: No AAA Postulate A C B D E F There is no such thing as an AAA postulate! NOT CONGRUENT 16 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: The Congruence Postulates SSS correspondence ASA correspondence SAS correspondence AAS correspondence SSA correspondence AAA correspondence 17 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: Name That Postulate SAS ASA SSS SSA (when possible) 18 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: Name That Postulate (when possible) ASA SAS AAA SSA 19 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: Name That Postulate (when possible) SAS SAS SAS Reflexive Property Vertical Angles Vertical Angles Reflexive Property SSA 20 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: HW: Name That Postulate (when possible) 21 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: (when possible) HW: Name That Postulate 22 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: Let’s Practice Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: For SAS:  B   D For AAS:  A   F AC  FE 23 MATHS S.JASMINE SUGIRTHA PowerPoint Presentation: HW Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: For SAS: For AAS: 24 MATHS S.JASMINE SUGIRTHA THANK U: THANK U END S.JASMINE SUGIRTHA MATHS 25

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