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Published byKaiden Alan Modified over 3 years ago

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Blue – 3/9/2015 Gold – 3/10/2015

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Last 2 classes, we talked about 3 ways we can determine triangle congruence. CPCTC – All 3 sides and 3 angles of one triangle are congruent with its corresponding triangle Side-side-side is when all the sides are congruent to another triangle Side-angle-side is when 2 sides and their included angle are congruent to a corresponding triangle. Today We are going to talk about ASA and AAS

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Angle–Side–Angle (ASA)– If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

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1. A D 2. AB DE 3. B E ABC DEF B A C E D F included side If true…

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What is the side between two angles GI HI GH

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Name the included Side: Y and E E and S S and Y SY E YE ES SY

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Angle-Angle-Side – (AAS) - If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

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1. A D 2. B E 3. BC EF ABC DEF B A C E D F Non-included side If true…

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A C B D E F NOT CONGRUENT There is no such thing as an SSA postulate!

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A C B D E F There is no such thing as an AAA postulate! NOT CONGRUENT

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SSS correspondence ASA correspondence SAS correspondence AAS correspondence SSA correspondence AAA correspondence

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SAS ASA SSS SSA

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ASA SAS AAA SSA

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SAS SAS SAS Reflexive Property Vertical Angles Reflexive Property SSA

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If three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. If AB = DE, BC = EF, AC.

If three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. If AB = DE, BC = EF, AC.

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