6.5 – Prove Triangles Similar by SSS and SAS

6.5 – Prove Triangles Similar by SSS and SAS

Side-Side-Side Similarity (SSS~): Two triangles are similar if the 3 corresponding side lengths are proportional A D C F E B

Side-Angle-Side Similarity (SAS~): Two triangles are similar if 2 corresponding sides are proportional and the included angle is congruent A D C F E B

1. Verify that ABC ~ DEF. Find the scale factor of ABC to DEF. ABC: AB = 12, BC = 15, AC = 9 DEF: DE = 8, EF = 10, DF = 6 A 9 D 12 Scale Factor: 8 6 C F 10 E B 15

2. Is either LMN or RST similar to ABC? Explain. ABC ~ RST by SSS~

3. Determine whether the two triangles are similar. If they are similar, write a similarity statement and find the scale factor of Triangle B to Triangle A. L  X YES or NO ______ ~______ Scale Factor: YXZ JLK

3. Determine whether the two triangles are similar. If they are similar, write a similarity statement and find the scale factor of Triangle B to Triangle A. YES or NO ______ ~______ Scale Factor:

4. Determine whether the triangles are similar. If they are similar, state which postulate or theorem that justifies your answer. Show all work! 15 4 6 10 GKH  NKM YES or NO Reason: ___________ SAS ~

4. Determine whether the triangles are similar. If they are similar, state which postulate or theorem that justifies your answer. Show all work! ABC  DEC B  E YES or NO Reason: ___________ AA ~

4. Determine whether the triangles are similar. If they are similar, state which postulate or theorem that justifies your answer. Show all work! YES or NO Reason: ___________

HW Problem #10 18 15 16.5 24 20 ∆HGJ ~ ∆HFK By SSS~ 22

6.5 – Prove Triangles Similar by SSS and SAS