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4.2 Triangle Congruence by SSS and SAS 2010.pdf

4.2 Triangle Congruence by SSS and SAS 2010.pdf

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<strong>4.2</strong> <strong>Triangle</strong> <strong>Congruence</strong> <strong>by</strong> <strong>SSS</strong> <strong>and</strong> <strong>SAS</strong> 2010October 26, 20104­2 <strong>Triangle</strong> <strong>Congruence</strong> Theorems<strong>SSS</strong> <strong>and</strong> <strong>SAS</strong>Objective:Prove that two triangles are congruentusing the <strong>SSS</strong> <strong>and</strong> <strong>SAS</strong> Postulates.Oct 28­6:54 AM1


<strong>4.2</strong> <strong>Triangle</strong> <strong>Congruence</strong> <strong>by</strong> <strong>SSS</strong> <strong>and</strong> <strong>SAS</strong> 2010October 26, 2010Nov 16­7:30 AM2


<strong>4.2</strong> <strong>Triangle</strong> <strong>Congruence</strong> <strong>by</strong> <strong>SSS</strong> <strong>and</strong> <strong>SAS</strong> 2010October 26, 2010Review:Nov 16­7:32 AM3


<strong>4.2</strong> <strong>Triangle</strong> <strong>Congruence</strong> <strong>by</strong> <strong>SSS</strong> <strong>and</strong> <strong>SAS</strong> 2010October 26, 2010Open AttachmentsOct 28­6:57 AM4


<strong>4.2</strong> <strong>Triangle</strong> <strong>Congruence</strong> <strong>by</strong> <strong>SSS</strong> <strong>and</strong> <strong>SAS</strong> 2010October 26, 2010Example #1: The bridge girders are the same size, as marked.Statements Reasons1. 1. Given2. 2. Given3. 3. Reflexive Property of ≅4. 4. <strong>SSS</strong>Nov 16­7:33 AM5


<strong>4.2</strong> <strong>Triangle</strong> <strong>Congruence</strong> <strong>by</strong> <strong>SSS</strong> <strong>and</strong> <strong>SAS</strong> 2010October 26, 2010Example #2:Statements Reasons1. 1.2. 2.3. 3.4. 4.Nov 16­7:59 AM6


<strong>4.2</strong> <strong>Triangle</strong> <strong>Congruence</strong> <strong>by</strong> <strong>SSS</strong> <strong>and</strong> <strong>SAS</strong> 2010October 26, 2010Nov 16­8:00 AM7


<strong>4.2</strong> <strong>Triangle</strong> <strong>Congruence</strong> <strong>by</strong> <strong>SSS</strong> <strong>and</strong> <strong>SAS</strong> 2010October 26, 2010Example #3:Nov 16­8:00 AM8


<strong>4.2</strong> <strong>Triangle</strong> <strong>Congruence</strong> <strong>by</strong> <strong>SSS</strong> <strong>and</strong> <strong>SAS</strong> 2010October 26, 2010Example #4:Nov 16­8:04 AM9


<strong>4.2</strong> <strong>Triangle</strong> <strong>Congruence</strong> <strong>by</strong> <strong>SSS</strong> <strong>and</strong> <strong>SAS</strong> 2010October 26, 2010So, here are the two triangle congruence shortcuts for today!<strong>SSS</strong>Side-Side-Side<strong>SAS</strong>Side-Angle-Side(The angle is included within the sides.)Oct 28­7:00 AM10


<strong>4.2</strong> <strong>Triangle</strong> <strong>Congruence</strong> <strong>by</strong> <strong>SSS</strong> <strong>and</strong> <strong>SAS</strong> 2010October 26, 2010HOMEWORK:p. 208 #2-13,20-26Oct 28­7:10 AM11


Attachments<strong>Triangle</strong>s.gsp

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