NAME and SECTION: MATH 9 - LAS 4 Competency and Code: Similar Triangles M9GE-llig-h-1 Recall Ratio and Proportion, where aib = cid Two triangles are Similar if the only difference is size (and possibly the need to turn or flip one around). For ex. Figure 4.1 A ABC is SIMILAR to A fgh f and only if AB BC AC fg fh A Or AB:fg = BC:gh = AC:fh Condition: In figure 4.1 AB:fg = BCigh = AC:fh AB = 2 cm, BC =5 cm, AC = 7 cm 2:4 = 5:10 = 7:14 g = 4 cm, gh = 10 cm, fh = 14 cm IF solve by lowest term then 1:2 = 1:2 = 1:2 Since the 3 Ratios are equal, then A ABC is SIMILAR to A fgh Also there Ratio is 1:2 A ABC ~A fgh Figure 4.2 A ABC is SIMILAR to A fgh f and only if AB BC AC fg gh - fh h Or AB:fg = BCigh = AC:fh Condition: In figure 4.2 AB:fg = BCigh = AC:fh AB =3 cm, BC = 5 cm, AC = 7 cm 3:6 = 5:6 = 7:14 fg = 6 cm, gh = 6 cm, fh = 14 cm IF solve by lowest term then 1:2 * 5:6 * 1:2 Since the 3 Ratios are NOT equal, then A ABC is NOT SIMILAR to A fgh Also there is NO ratio that is equalState if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. 1) 2) 39 U 16 72 12 E 84 G 40 T ACBA ~ AUTS ~ 3) 4) V 49 14 28 U 8 U AVUT ~ L K AJKL ~ 5 ) S C ASTU~