70 likes | 90 Views
Objectives :. Use similarity theorems to prove that two triangles are similar Use similar triangles to solve real-life problems. Side Side Side(SSS) Similarity Theorem. If the corresponding sides of two triangles are proportional, then the triangles are similar. THEN ∆ABC ~ ∆PQR.
E N D
Objectives: • Use similarity theorems to prove that two triangles are similar • Use similar triangles to solve real-life problems
Side Side Side(SSS) Similarity Theorem • If the corresponding sides of two triangles are proportional, then the triangles are similar. THEN ∆ABC ~ ∆PQR
Side Angle Side Similarity Thm. • 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.
Ex 2: Are the triangles similar? If so, state the theorem/ postulate which justifies the similarity statement. SSS Similarity Theorem
Draw the triangles. Name the postulate/ theorem that proves they are similar. S SAS Similarity Theorem 65° J 18 24 65° 8 6 T U K L