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Transcript
Use similarity theorems to prove that two triangles are similar Use similar triangles to solve reallife problems If the corresponding sides of two triangles are proportional, then the triangles are similar. P A B C AB BC CA PQ QR RP Q R THEN ∆ABC ~ ∆PQR X 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. M Z Y P N ZX XY If ÐX @ÐM and = , PM MN then VXYZ : VMNP SSS Similarity Theorem S 65° 18 T 24 SAS Similarity Theorem U J 6 K 65° 8 L