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GT Geometry 3/2/11 Turn in CW/HW from yesterday by the time the bell rings. Pick up a ditto and complete 1-6

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#3.16 Geo. Drill 3/2/11 Given that the following two pentagons are similar, find x. x 4 6 7 5 12 8 4 14 10

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Geometry Drill Can you list the 5 ways to prove triangles congruent

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Objective Students will use the AA, SAS and SSS similarity postulates to decide which triangles are similar and find unknowns.

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Congruence vs. Similarity Congruence implies that all angles and sides have equal measure whereas...

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Congruence vs. Similarity Similarity implies that only the angles are of equal measure and the sides are proportional

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AA Similarity Postulate Two triangles are similar if two pairs of corresponding angles are congruent

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AA Similarity Postulate A B C D E F

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SAS Similarity Postulate Two triangles are similar if two pairs of corresponding sides are proportional and the included angles are congruent

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SAS Similarity Postulate A B C D E F 4 6 8 12

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SSS Similarity Postulate Two triangles are similar if all three pairs of corresponding sides are proportional.

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SSS Similarity Postulate A B C D E F 7 21 9 27 13 39

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Example 1 APE ~ DOG. If the perimeter of APE is 12 and the perimeter of DOG is 15 and OG=6, find the PE.

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Conclusion Congruence vs. Similarity AA SAS SSS

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Classwork/Homework Page 433-434 5-19 skip 10, 11.

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Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.

Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.

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