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Published byBenjamin Freeman Modified over 3 years ago

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Warm UP Given that the following two pentagons are similar, find x. x

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Objective SWBAT use the AAA, SAS and SSS similarity postulates to decide which triangles are similar and find unknowns.

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Homework P. 433 – 434: # 5 – 9, 12 – 19

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Congruence vs. Similarity The match of the century! Who will win?

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Congruence vs. Similarity Congruence implies that all angles and sides are equal/identical whereas...

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Congruence vs. Similarity Similarity implies that only the angles are congruent and the sides are proportional

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Congruence vs. Similarity What can be congruent? What can be similar?

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Back to Triangles Since we talked about congruent triangles so much, we should mention similar triangles.

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Back to Triangles How could triangles be congruent? SSS SAS ASA AAS HL

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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

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SSS Similarity Postulate ABC ~ EDF

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

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SAS Similarity Postulate A B C D E F

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SAS Similarity Postulate ABC ~ FED

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AAA 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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ABC ~ FED

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Example 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 AAA~ SAS~ SSS~

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Practice 10-2 Answer Example sets 2 and 3. Be sure to include the similarity statement.

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