Objective

To prove triangles similar by AA~, SSS~, or SAS~

Flashback to Triangle Congruence:

Recall AAA could not be used to prove two triangles congruent

But we now know that if corresponding angles are congruent and lengths of corresponding side are in proportion then two triangles are similar.

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Is there a rule for proving triangles similar with less than all six pieces of information?​

Turns out there are three

• ​Angle Angle Similarity (AA~)

• Side Side Side Similarity (SSS~)

• Side Angle Side​ Similarity (SAS~)

Angle Angle Similarity

If two corresponding angles are congruent, then the triangles are similar.

If all corresponding sides are proportional, then the triangles are similar.

Side Side Side Similarity

Some text here about the topic of discussion

Side Angle Side Similarity

If two corresponding sides are proportional and the included angles are congruent, then the triangles are similar.

Now try #16 on your own

​Are the triangles similar? Show your work and write a similarity statement.