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Published byBenjamin Freeman Modified over 4 years ago

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

8 12 x 4 14 4 5 6 7 10

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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**

B 21 13 9 27 C 7 A D 39 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**

B 12 8 C 4 A D 6 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**

B C A D F

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**AA Similarity Postulate**

∆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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(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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