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Chapter 8.3 Proving triangles similar.notebook D.I.R.T? February 27, 2013 Are the following polygons similar? 2) 1) Solve for x. Given reasons. 2(x+3) 7 = 13 8 Statement Reason 4 2 3 3) 50 6 50 80 5 12 80 10 4) Find the area of the parallelogram. 12 5) Find the area of the rhombus. A= _____________ 10 60 10 6 Feb 194:04 PM Feb 259:28 AM Feb 259:51 AM Feb 259:55 AM 8.3 Proving Triangles Similar Objective: To use AA, SAS, and SSS similarity statements M.1 MX AB. Explain why the triangles are similar. Write a similarity statement. Performance Standard: 1.5, 1.6, 3.1, 3.2, 3.4 DOK2 Knowledge: MA 2, MA 4 AA Similarity Postulate: If 2 angles of one triangle are congruent to 2 angles of another triangle, then they are similar SAS Similarity Postulate: The sides must be in equal proportion and the angle in between has to be congruent. Explain why the triangles must be similar. Write a similarity statement. SSS Similarity Theorem: If a three sides are in proportion to each other, then the triangles are similar. Apr 71:10 PM Apr 22:23 PM 1 Chapter 8.3 Proving triangles similar.notebook February 27, 2013 Use the theorem and postulates to prove the whether the following triangles are similar 1) G M 3 6 H 10 O I 4 R 2) A 2 3 P 3 B J 3.33 5 8 C Apr 71:14 PM Feb 2510:19 AM Prove Triangles Similar 8.3 part 1 Assignment: pg. 435 #2, 4-6, 10-12, 16-19 Name:____________________ 4. Show work: 2. Show work: Answer: yes or no why______________ if yes: RST ________ 5. Show work: Answer: yes or no why______________ if yes: FHG ________ 6. Show work: Answer: ______________ Answer: ______________ 10. Show work: 11. Show work: Answer: x= ____________ Postulate: _____________ Answer: x= __________ Postulate: ___________ 12. Show work: Answer: x= ____________ Postulate: _____________ 16. Show work: Answer: x= ____________ Postulate: _____________ 17. Show work: 18. Show work: Answer: x= ____________ Answer: x= ____________ Postulate: _____________ Postulate: _____________ 19. Show work: Answer: x= ____________ Postulate: _____________ Feb 2510:21 AM Feb 51:51 PM 2