Section 6.5: Prove Triangles are Similar by SSS and SAS Chapter 6: Similarity Section 6.5: Prove Triangles are Similar by SSS and SAS

Section 6.5: Prove Triangles are Similar by SSS and SAS Side-Side-Side Similarity Theorem (SSS): If the corresponding sides of two triangles are proportional, then the triangles are similar IF then ΔABC ~ ΔFGH A F B G H C

Section 6.5: Prove Triangles are Similar by SSS and SAS Determine whether the triangles are similar. If they are similar, write a similarity statement. J 25 F 10 40 H 16 12 G 30 K

Section 6.5: Prove Triangles are Similar by SSS and SAS All three figures below are rectangles. Is either GHJK or LMNP similar to CDEF? 3 C D 2 E F 6 M 5 L G H 3 4 K J P N

Section 6.5: Prove Triangles are Similar by SSS and SAS Side-Angle-Side Similarity Theorem (SAS): If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the included sides are in proportional, then the triangles are similar If <X ≅ <M, and then ΔXYZ ~ ΔMNP X M Z Y P N

Section 6.5: Prove Triangles are Similar by SSS and SAS Determine whether the triangles are similar. If they are similar, write a similarity statement. G K 18 24 32 H J

Section 6.5: Prove Triangles are Similar by SSS and SAS Show that ΔLMQ ~ ΔLNP N 40 M 16 L 14 P Q 35

Section 6.5: Prove Triangles are Similar by SSS and SAS Try together: Pg. 389 #1-4

Section 6.5: Prove Triangles are Similar by SSS and SAS Homework: Pg. 391 #3-17 (all)