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GBK Geometry

GBK Geometry. Jordan Johnson. Today’s plan. Greeting Hand in Unit 9 Test Analysis AA Similarity Proof Homework / Questions Clean-up. The AA Similarity Theorem. Given: ΔABC and ΔDEF A = D and B = E Prove: ΔABC ~ ΔDEF Setup: ΔABC is either larger, smaller, or congruent to ΔDEF

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GBK Geometry

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  1. GBK Geometry Jordan Johnson

  2. Today’s plan • Greeting • Hand in Unit 9 Test Analysis • AA Similarity Proof • Homework / Questions • Clean-up

  3. The AA Similarity Theorem • Given: • ΔABC and ΔDEF • A = D and B = E • Prove:ΔABC ~ ΔDEF • Setup: • ΔABC is either larger, smaller, or congruent to ΔDEF • If ΔABC  ΔDEF, ΔABC ~ ΔDEF by our previous proof. • Suppose (without loss of generality) ΔABC is larger. • AB > DE, so choose point X on AB such that AX = DE, and choose point Y on AC such that AXY = E.

  4. Homework • 25+ minutes: • Asg #68, #69, or #70. • Prove using the AA Theorem: • Theorem: Similarity (of triangles) is transitive. • Given:ABC ~ XYZ and XYZ ~ DEF. • Prove:ABC ~ DEF.

  5. Clean-up / Reminders • Pick up all trash / items. • Push in chairs (at front and back tables). • See you tomorrow!

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