In △ABC and △A'B'C', if AB: A'B'=AC:A'C' and ∠A=∠A', then△ABC ~△A'B'C'
In △ABC and △A'B'C', if AB: A'B'=AC:A'C'=BC:B'C', then△ABC ~ △A'B'C'
SSS
Prove by Relationships in Corresponding Angles and Corresponding Sides
Prove by Relationships in Corresponding Sides
SAS
Methods to Prove Two Given Triangles Are Similar
Instruction: show your understanding in proving similarity triangles by building the relations ships with the other floating topics to the main topic. (One of the example is done for you). Pair up the given picture to the related topic. Feel free to add additional pictures or notes.
Prove by Relationships in Corresponding Angles
PICTURE EXAMPLE
AA
In △ABC and △A'B'C', if ∠A=∠A', B=∠B', then△ABC ~ △A'B'C'