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Published byKaiden Alan Modified over 2 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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Congruent Figures. Two geometric figures with exactly the same size and shape. Corresponding angles are congruent. Corresponding sides are congruent.

Congruent Figures. Two geometric figures with exactly the same size and shape. Corresponding angles are congruent. Corresponding sides are congruent.

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