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Geometry – 3.7 – SSS~ Name Pd. 1. State the 3 ways to prove triangles are similar and what you need to show to use each. ___________ , need to show ______________________________________________________________________ ___________ , need to show ______________________________________________________________________ ___________ , need to show ______________________________________________________________________ 2. To prove ∆ACB ~ ∆PXQ by using SSS Similarity Theorem, complete the proportion that is needed 𝐴𝐶 = 𝑋𝑄 = 𝐴𝐵 3. Is ∆ABC ~ ∆DEF (yes or no)? Show work and state the scale factor. ∆ABC: AB = 10, BC = 16, AC = 20 Yes ∆DEF: DE = 25, EF = 40, DF = 50 or No scale factor = __________ Determine whether the triangles are similar using SSS ~. Show work by showing the ratios! If they are similar, write a similarity statement. 4. 5. Yes or No Yes If Yes, ∆DEF ~ ∆____________ 6. or No If Yes, ∆DEF ~ ∆____________ 7. Yes or No If Yes, ∆PQR ~ ∆____________ Yes or No If Yes, ∆ACF ~ ∆____________ Determine whether the triangles are similar. Show work! If they are, tell which method was used to show the triangles are similar. If SAS~ or SSS~, then show ratios! 8. 9. Yes or If Yes, why? AA~ No or SAS~ or SSS~ 10. Yes or No If Yes, why? AA~ or SAS~ or SSS~ 11. Yes or If Yes, why? AA~ No or Yes SAS~ or SSS~ or No If Yes, why? AA~ or SAS~ or SSS~ Solve for the missing information, given that the two triangles are SIMILAR. Set up a proportion and solve. Show work! 12. 13. y = _________ 14. z = _________ 15. Review: The angles of a triangle have the extended ratio of 3:5:10. Find the measures of the angles of the triangle. (show work!) ZV = _________ ______ , ______ , ______