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10-2: Proving triangles Similar: AA,SAS,SSS

AA~Postualte: If 2 angles of 1 triangle are congruent to 2 angles of another triangle, then the triangles are similar.

SAS~ Thm: If 2 sides of 1 triangle are proportional to 2 sides of another triangle and the included angles are congruent, then the triangles are ~.

SSS~ Thm: If all corresponding sides of 2 triangles are proportional, then the triangles are similar. Can you prove the triangles similar? If so, write a similarity statement and explain why.

SAS~ 3/6=4/8 1/2=1/2

Therefore, triangle LOA ~ triangle TOS.

10-2 Day 2

Are the triangles ~? If so, write a statement why!

Example:

AA~

Triangle ABC~Triangle XZY

Problem 10-2

Can you prove the triangles similar? If so, write a similarity statement and explain why.

SAS~ 3/6=4/8 1/2=1/2

Therefore, triangle LOA ~ triangle TOS.