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Math 1 February 27 th Turn in homework – page 34
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Proving Triangles Congruent Powerpoint hosted on www.worldofteaching.comwww.worldofteaching.com Please visit for 100’s more free powerpoints
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Two TRIANGLES with exactly the same size and shape. Congruent Triangles A C B DE F
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Side-Side-Side (SSS) 1. AB DE 2. BC EF 3. AC DF ABC DEF B A C E D F
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Side-Angle-Side (SAS) 1. AB DE 2. A D 3. AC DF ABC DEF B A C E D F included angle
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Angle-Side- Angle (ASA) 1. A D 2. AB DE 3. B E ABC DEF B A C E D F Included side
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The side between two angles Included Side GI HI GH
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Name the included angle: Y and E E and S S and Y Included Side SY E YE ES SY
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Angle-Angle-Side (AAS) 1. A D 2. B E 3. BC EF ABC DEF B A C E D F Non-included side
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Warning: No SSA Postulate A C B D E F NOT CONGRUENT There is no such thing as an SSA postulate!
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Warning: No AAA Postulate A C B D E F There is no such thing as an AAA postulate! NOT CONGRUENT
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The Congruence Postulates SSS correspondence ASA correspondence SAS correspondence AAS correspondence SSA correspondence AAA correspondence
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Name That Postulate SAS ASA SSS SSA (when possible) 1. 2. 3. 4.
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Name That Postulate (when possible) ASA SAS AAA SSA 5. 6. 7. 8.
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Name That Postulate (when possible) SAS SAS SAS Reflexive Property Vertical Angles Reflexive Property SSA 9. 10. 11.12.
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HW: Name That Postulate (when possible) 13. 14. 15. 16.
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(when possible) HW: Name That Postulate 17. 18. 19.
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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 A F AC FE
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HW Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: For SAS: For AAS: 20. 21. 22.
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HOMEWORK COMPLETE PAGE 35 (ALL)
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