# Blue – 3/9/2015 Gold – 3/10/2015.  Last 2 classes, we talked about 3 ways we can determine triangle congruence.  CPCTC – All 3 sides and 3 angles of.

## Presentation on theme: "Blue – 3/9/2015 Gold – 3/10/2015.  Last 2 classes, we talked about 3 ways we can determine triangle congruence.  CPCTC – All 3 sides and 3 angles of."— Presentation transcript:

Blue – 3/9/2015 Gold – 3/10/2015

 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

 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.

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

What is the side between two angles GI HI GH

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

 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.

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

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

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

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

SAS ASA SSS SSA

ASA SAS AAA SSA

SAS SAS SAS Reflexive Property Vertical Angles Reflexive Property SSA

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