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### Transcript of Proving Triangles Congruent Free powerpoints at :

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Proving Triangles Congruent Free powerpoints at http://www.worldofteaching.comhttp://www.worldofteaching.com Slide 2 Two geometric figures with exactly the same size and shape. The Idea of a Congruence A C B DE F Slide 3 How much do you need to know... need to know...... about two triangles to prove that they are congruent? Slide 4 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 1.AB DE 2.BC EF 3.AC DF 4. A D 5. B E 6. C F Slide 5 Do you need all six ? NO ! SSS SAS ASA AAS Slide 6 Side-Side-Side (SSS) 1. AB DE 2. BC EF 3. AC DF ABC DEF B A C E D F Slide 7 Side-Angle-Side (SAS) 1. AB DE 2. A D 3. AC DF ABC DEF B A C E D F included angle Slide 8 The angle between two sides Included Angle G I H Slide 9 Name the included angle: YE and ES ES and YS YS and YE Included Angle SY E E S Y Slide 10 Angle-Side- Angle (ASA) 1. A D 2. AB DE 3. B E ABC DEF B A C E D F include d side Slide 11 The side between two angles Included Side GI HI GH Slide 12 Name the included angle: Y and E E and S S and Y Included Side SY E YE ES SY Slide 13 Angle-Angle-Side (AAS) 1. A D 2. B E 3. BC EF ABC DEF B A C E D F Non-included side Slide 14 Warning: No SSA Postulate A C B D E F NOT CONGRUENT There is no such thing as an SSA postulate! Slide 15 Warning: No AAA Postulate A C B D E F There is no such thing as an AAA postulate! NOT CONGRUENT Slide 16 The Congruence Postulates SSS correspondence ASA correspondence SAS correspondence AAS correspondence SSA correspondence AAA correspondence Slide 17 Name That Postulate SAS ASA SSS SSA (when possible) Slide 18 Name That Postulate (when possible) ASA SAS AAA SSA Slide 19 Name That Postulate (when possible) SAS SAS SAS Reflexive Property Vertical Angles Reflexive Property SSA Slide 20 HW: Name That Postulate (when possible) Slide 21 HW: Name That Postulate Slide 22 Lets 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 Slide 23 HW Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: For SAS: For AAS: