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Transcript
Name: Date: CHAPTER B.4 AND 8.5 SIMILAR TRIANGLEs PROVING THAT TWO TRIANGLES ARE SIMILAR K Angle-Angle (AA) Similarity Postulate - If two angles of one triangle are CONGRUENT to two angles of another triangle, then the ~o triangles are similar. Why do you NOT need to state that the third pair of angles is congruent when proving the triangles are similar? Side-Side-Side (SSS) Similarity Theorem - If the lengths of the corresponding sides of two triangles are PROPORTIONAL, then the triangles are similar. A P c 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 the~e angles are proportional, then the triangles are similar. X M P z N Y Examples Name a postulate or theorem that can be used to prove that the two triangles are similar. Then write a similarity statement. A B C GEOMETRY . Name: Similar Triangles Practice Period: Date: Directions: Determine whether the triangles are simlilarl If yes, state which postulate or theorem was used, write a similarity statement, and solve for the variable. H .. 2 X 5 4 /~ G i01° 8 J Y q