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

2. Concept Ch 9.1

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

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

5. Concept Ch 9.2 Definition of Similar Polygons

6. Concept Ch 9.2 Theorem 9-10

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

8. Ch 9.2 13) 5x + 8x + 10x = 276; x = 12; 10(12) = 120 Answers: 14) 3x + 2x = 12; x = 2 ⅖ ; 3(2 ⅖ ) = 7 ⅕, 2(2 ⅖ ) = 4 ⅘

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

10. Concept Ch 9.3 Postulate 9-1

11. Concept Ch 9.3 9-2 9-3

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. Concept Ch 9.4 Theorem 9-5

14. Concept Ch 9.5 Theorem 9-6

15. Concept Ch 9.4 4x4x = 5 12 x = 9.6 8 18 = 10 x x = 22.5 240 200 = 300 x x = 250

16. Concept Ch 9.5 Theorem 9-7

17. Concept 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