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How can you determine if two triangles are similar?

Remember, you don't need to show that all three sides are in a common ratio and that all three corresponding angles are congruent in order to prove that two triangles are similar. There are other properties that make the process easier and more efficient, and the AA property is just one of them. Can you name the three triangle similarity properties? List them in your notebook or create a list in your mind. Then click the button below to confirm or clarify what you remember.

You'll need to be able to recall the exact meaning of each of these acronyms often in this course so that you can apply the properties to solve a problem. Use the tab below to review three properties of triangle similarity.

AA

SAS

SSS

How do you show that two triangles are similar by the AA property? Write you own explanation in your notebook. Then click the image below to check your work.

How do you show that two triangles are similar by the SAS property? Explain the property in writing. Then click the image below to check your work.

How do you show that two triangles are similar by the SSS property? Explain the property before clicking the image below to check your work.