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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'

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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'