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BELL WORK 11/29 5 minutes

BELL WORK 11/29 5 minutes. Pay Day Planner & ID Pick up 8.3 WS Do BELL WORK on 8.3 WS. BELL WORK 11/29 5 minutes. Enlargement. Main Concept: Mana’o Nui. Similar Triangles. Skills & Content: Kumuhana Ha’awina. Intent: Mana’o Ho’okō. Unit Summary. Ratios Proportions Cross Products

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BELL WORK 11/29 5 minutes

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  1. BELL WORK 11/295 minutes • Pay Day • Planner & ID • Pick up 8.3 WS • Do BELL WORK on 8.3 WS

  2. BELL WORK 11/295 minutes Enlargement

  3. Main Concept: Mana’o Nui Similar Triangles Skills & Content: Kumuhana Ha’awina Intent: Mana’o Ho’okō Unit Summary • Ratios • Proportions • Cross Products • Geometric Mean • Similarity • Scale Factor • Dilation: Enlargement & Reduction • Similar Triangles • AA, SSS, SAS Similarity • Proportionality Conjectures • Ratios • Proportions • Cross Products • Geometric Mean • Similarity • Scale Factor • Dilation: Enlargement & Reduction • Similar Triangles • AA, SSS, SAS Similarity • Proportionality Conjectures Benchmark MA.G.5.2: Use corresponding parts to prove that triangles are similar. Use similar triangles to solve real-world problems. Unit 8: Similar Triangles & Indirect Measurements

  4. Intent: • Prove that triangles are similar • Skills: • AA, SSS, SAS Similarity • Proportionality Conjectures 8.3 Similar Triangles Unit 8: Similar Triangles & Indirect Measurements

  5. What is the Angle-Angle Similarity (AA~) Conjecture? (C-22) Need: 2 congruent angles Then: Triangles are similar IF THEN Unit 8: Similar Triangles & Indirect Measurements

  6. What is the Side-Side-Side Similarity (SSS~) Conjecture? (C-23) Need: All sides proportional Then: Triangles are similar IF THEN Unit 8: Similar Triangles & Indirect Measurements

  7. What is the Side-Angle-Side Similarity (SAS~) Conjecture? (C-24) Need: 2 sides in proportion Angle in between  Then: Triangles are similar IF THEN Unit 8: Similar Triangles & Indirect Measurements

  8. Similarity Summary Unit 8: Similar Triangles & Indirect Measurements

  9. Example 1 A flagpole casts a shadow that is 50 feet long. At the same time, a woman standing nearby who is five feet four inches tall casts a shadow that is 40 inches long. How tall is the flagpole to the nearest foot? 80 S: The flagpole is ___ feet tall. E: Flagpole shadow: 50 ft long Woman: 5 ft 4 in tall Woman shadow: 40 in long E: Unit 8: Similar Triangles & Indirect Measurements

  10. Example 2 1. Given Reasons Statements 2. Definition of Congruent Angles 3. Reflexive Property 4. AA Similarity Conjecture Unit 8: Similar Triangles & Indirect Measurements

  11. Example 3 Unit 8: Similar Triangles & Indirect Measurements

  12. Example 4 1. Given Reasons Statements • Ratio of Corresponding Side Lengths 3. Transitive Property 4. SSS Similarity Conjecture 5. Definition of Similar Polygons Unit 8: Similar Triangles & Indirect Measurements

  13. Example 5 1. Given Reasons Statements 2. Ratio of CorrespondingSide Lengths 3. Transitive Property 4. Vertical Angles Conjecture 5. SAS Similarity Conjecture 6. Corresponding Lengths inSimilar Polygons Unit 8: Similar Triangles & Indirect Measurements

  14. What is the Triangle Proportionality Conjecture? (C-25) Lines parallel to the base of a triangle divide the sides proportionally. IFF Unit 8: Similar Triangles & Indirect Measurements

  15. What is the Three Parallel Line Proportionality Conjecture? (C-26) Parallel lines divide transversals proportionally. IF THEN Unit 8: Similar Triangles & Indirect Measurements

  16. What is the Angle Bisector Proportionality Conjecture? (C-27) The angle bisector divides the opposite side proportional to the other two sides. IF THEN Unit 8: Similar Triangles & Indirect Measurements

  17. Example 6 Unit 8: Similar Triangles & Indirect Measurements

  18. S: Thus, the shelf is not parallel to the floor. Example 7 E: AB = 33 cm BC = 27 cm CD = 44 cm DE = 25 cm E: Unit 8: Similar Triangles & Indirect Measurements

  19. S: The distance between Main Street and South Main Street is _____ yards. Example 8 360 E: GF = 120 yd DE = 150 yd CD = 300 yd Angles 1, 2, and 3 are congruent. E: Corresponding angles are congruent, hence the streets are parallel. Unit 8: Similar Triangles & Indirect Measurements

  20. Example 9 15 – x Unit 8: Similar Triangles & Indirect Measurements

  21. Exit SlipSummary What 1 question do you have about this section? Be specific.

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