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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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(AA, SSS, SAS). AA Similarity (Angle-Angle) If 2 angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar.

(AA, SSS, SAS). AA Similarity (Angle-Angle) If 2 angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar.

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