Methods to Prove Two Given Triangles Are Similar

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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

In △ABC and △A'B'C', if ∠A=∠A', B=∠B', then△ABC ~ △A'B'C'

AA

PICTURE EXAMPLE

SAS

Prove by Relationships in Corresponding Sides

Prove by Relationships in Corresponding Angles and Corresponding Sides

SSS

In △ABC and △A'B'C', if AB: A'B'=AC:A'C'=BC:B'C', then△ABC ~ △A'B'C'

In △ABC and △A'B'C', if AB: A'B'=AC:A'C' and ∠A=∠A', then△ABC ~△A'B'C'

PICTURE EXAMPLE

PICTURE EXAMPLE