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2/15 Geometry Bell Ringer Given that DE // AB, find EB and AB. Homework: Similarity Proofs Day 1 Independent Practice
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2/15 News and Notes Perfection Award: 1 st Period HW Checked? Quiz Make-ups and retakes today in 218 Need to serve a detention? Today in 218
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Quiz Make-ups 1 st : Brishanika, Kenneth, 7 th : Kaneisha, D’Antoinette, Selena, Tatyana, Leslie 8 th : Cristian E, Angela, Coraima, Daniel, Lorena, Brittany, Jasmine Z
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Today’s Goal Use our Similarity Postulates to prove two triangles are similar. What were our 3 Similarity Postulates? SSS, SAS, and AA
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In order for two triangles to be similar, what must be true? 1. Corresponding angles congruent 2. Corresponding sides proportional
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Example 1 This example is just to get us comfortable with the process of a proof. Given: AC = 5, BE = 10, CB = 3, DE = 6, Prove: ∆ACB~ ∆BED Step 1: Mark Given Information Step 2: Check sides. A B C D E
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Example 2 Given: Prove: ∆ACB~ ∆BED Step 1: Mark Given Information Step 2: Check sides. A B C D E
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Guided Practice Let’s take it up a notch - Given: AC = BC = 6cm EC = DC = 4cm Prove: ∆ACB~ ∆ECD StatementReason 1. AC = BC = 6cm; EC = DC = 41. Given 2.2. Substitution 3. 3. Vertical Angles 4. ∆ACB~ ∆ECD4. SAS
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Independent Practice If you finish, here’s the bonus question:
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