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Sec 2 5.2 AA, SSS, SAS Similarity 5.2 SIMILAR TRIANGLES have the same shape but can be different sizes (or rotated/reflected) a) Angles are congruent (same measure) b) Sides are proportional (same scale factor) 1) If 2 triangles are congruent, are they similar? If 2 triangles are similar, are they congruent? 2) Find all angles and side lengths give that βπ΄π΅πΆ~βπ·πΈπΉ (β π ππππππππ‘π¦ π π‘ππ‘πππππ‘ ) Ways to prove similarity: Angle-Angle (AA) - If two angles of one triangle are congruent (equal) to two angles of another triangle, then the triangles are SIMILAR. Side-Side-Side (SSS) - If the measures of the corresponding sides of two triangles are proportional (scale factor), then the triangles are SIMILAR Side-Angle-Side (SAS) - If the measures of two sides of a triangle are proportional (scale factor) to the measures of two corresponding sides of another triangle, and the included angles (between these corresponding sides) are congruent, then the triangles are SIMILAR. AA SSS SAS 5 3 15 9 Determine whether the triangles are similar. Write a similarity statement (ex: βπ΄π΅πΆ~βπ·πΈπΉ) if they are similar. Write βnot similarβ if the triangles are not similar. 3) 4) a) AA/SAS/SSS b) Prove it: a) AA/SAS/SSS b) Prove it: c) Similarity statement: c) Similarity statement: 5) 6) 7) a) AA/SAS/SSS b) Prove it: a) AA/SAS/SSS b) Prove it: a) AA/SAS/SSS b) Prove it: c) Similarity statement: c) Similarity statement: c) Similarity statement: 9) 10) 8) a) AA/SAS/SSS b) Prove it: c) Similarity statement: a) AA/SAS/SSS b) Prove it: c)Similarity statement: The following triangles are similar. Find the missing length. 11) 12) a) AA/SAS/SSS b) Prove it: c) Similarity statement: