7.3 - Proving Triangles Similar

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

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?​

• ​Angle Angle Similarity (AA~)

• Side Side Side Similarity (SSS~)

• Side Angle Side​ Similarity (SAS~)

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

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

Some text here about the topic of discussion

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

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