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Transcript
Question about homework? • Any questions on the homework? (choose random problems) 7.3 Proving Triangles Similar Related Topic • Remember we had to prove triangles congruent? Proving triangles similar is similar to proving triangles congruent but different • The theorems to prove triangles similar are different Postulate 7.1 Angle-Angle similarity (AA~) Postulate • If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar P T R S L TRS ~ PLM M Theorem 7.1 Side-Angle-Side Similarity (SAS~) Theorem • If an angle of one triangle is congruent to an angle of a second triangle, and the sides including the two angles are proportional, then the triangles are similar • Examples: Notice the difference Theorem 7.2 Side-Side-Side (SSS~) Theorem • If the corresponding sides of two triangles are proportional, then the triangles are similar • Examples: Are the triangles similar? Why? Write the similar statement W V S 45 45 R B Are the triangles similar? Why? Write the similar statement P X 8 6 Q R 4 Z Y 3 If the triangles are similar, find DE A 12 10 B 24 D C 16 18 E Vocabulary • Indirect measurement – You use similar triangles and measurements to find distances that are difficult to measure directly Example of indirect measurement Homework/Classwork • Pgs 385-387 #1,2, 4-20, 24-27, 32