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Mathematics 1448 SAS Curriculum Pathways Triangles: Proving Similarity: Follow-up Worksheet NAME(S): CLASS: DATE: Applying the Postulate and Theorems Review the following postulate and theorems. Then complete the problems below. Angle-Angle (AA) Similarity Postulate If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. Side-Side-Side (SSS) Similarity Theorem If the corresponding sides of two triangles are proportional, then the triangles are similar. Side-Angle-Side (SAS) Similarity Theorem If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar. Determine whether the pairs of triangles in Problems 1 - 6 are similar. If they are similar, write a similarity statement in this format: AABC -AXYZ . If the triangles are not similar, write "not similar". (Hint: You will need to use additional postulates and theorems.) 1) (2) 70 570 A 530 70 530 570 C Similarity statement: Similarity statement: 3) 4) R 186 3.4 32 3.72 5.3 1.94 3.88 U 80 1.7 6.6 2.56 80 Similarity statement: Similarity statement: 5) 6) 340_ 730- D 3.8 2.8 3.3 1.4 780 1.65 A 2.2 E Similarity statement: Similarity statement: Copyright @ 2011, SAS Institute Inc., Cary, NC, USA, All Rights Reserved 3/1/2011 Page 1 of 3