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GEOMETRY: Chapter 8 8.5: Prove Triangles Similar by SSS and SAS Theorem 8.2: Side-Side-Side (SSS) Similarity Theorem If the corresponding side lengths of two triangles are proportional, then the triangles are similar. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 388. Ex. 1: Is either PQR STU similar to XYZ ? Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 389. Ex. 1: Is either PQR STU similar to XYZ ? Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 389. Ex. 2: Find the value of x that makes XYZ PQR. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 389. Ex. 2: Find the value of x that makes XYZ PQR. Answer: 8 Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 389. Theorem 8.3: 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. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 390. Ex. 3. You enlarge XYZ to JHK as shown. Is XYZ similar to JHK? Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 390. Ex. 3. You enlarge XYZ to JHK as shown. Is XYZ similar to JHK? A: yes Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 390. Triangle Similarity Postulates and Theorems Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 390. Ex.4 Tell what method you would use to show that the triangles are similar Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 391. Ex.4 Tell what method you would use to show that the triangles are similar Answer: SSS similarity Theorem Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 391. 8.5, p. 492, #1-14 all, 18-23 all (20 questions)