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Ch 9.1 thru 9.5 Review

Ch 9.Rev. Learning Target: I will be able to use proportions to determine similarity and parallel line segments of a triangle. Standard: various. Ch 9.1 thru 9.5 Review. Ch 9.1. Concept. a b. a b. c d. c d. =. =. Ch 9.1. Theorem 9-1. Property of Proportions.

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Ch 9.1 thru 9.5 Review

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  1. Ch 9.Rev Learning Target: I will be able to use proportions to determine similarity and parallel line segments of a triangle. Standard: various Ch 9.1 thru 9.5Review

  2. Ch 9.1 Concept

  3. a b a b c d c d = = Ch 9.1 Theorem 9-1 Property of Proportions For any numbers a and c and any nonzero numbers b and d, if , then ad = bc. Likewise, if ad = bc, then Concept

  4. Ch 9.1 Answers: 10) x = -15 9) x = 49 12) x = 4.5 11) x = ± 10

  5. Ch 9.2 Definition of Similar Polygons Concept

  6. Ch 9.2 Theorem 9-10 Concept

  7. 4 10 15 9 6 16 10 6 ≠ = Ch 9.2 15) not similar 16) PQRS~WXYZ Concept

  8. Ch 9.2 Answers: 13) 5x + 8x + 10x = 276; x = 12; 10(12) = 120 14) 3x + 2x = 12; x = 2 ⅖; 3(2 ⅖) = 7⅕, 2(2 ⅖) = 4 ⅘

  9. 3 50 15 + 10 + 13 x = Ch 9.2 x = 633 ⅓ Concept

  10. Ch 9.3 Postulate 9-1 Concept

  11. Ch 9.3 9-2 9-3 Concept

  12. Ch 9.3 not similar (shapes are not the same) IJK ~ HFG SSS Similarity not similar (angles are not congruent) TUV ~ TSR AA Similarity

  13. Ch 9.4 Theorem 9-5 Concept

  14. Ch 9.5 Theorem 9-6 Concept

  15. 240 200 8 18 4 x 5 12 10 x 300 x = = = Ch 9.4 x = 22.5 x = 9.6 x = 250 Concept

  16. Ch 9.5 Theorem 9-7 Concept

  17. Ch 9.5 (Justify your answer) IJ = 10.5 • Since FI = IG, then I is the midpoint. • Since FJ = JH, then J is the midpoint. • By definition, IJ is the midsegment. • By the Triangle Midsegment Theorem, IJ = ½ GH Concept

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