Angle-Angle Similarity Theorem

True or False:

If two pairs of angles in two different triangles are congruent, then you know the two triangles are similar.

• True

• False

We can see that the two angles are not both the same. Can we stop and say they are not similar, or do we need to continue to check the third angles?

• Stop - you know the triangles are not similar

• Keep going! You need to find the third angles because those might match the others!

Which reason explains why these angles are congruent?

• They are corresponding angles

• They are alternate interior angles

• They are vertical angles

• They are supplementary angles

True or False:

We could have also said that  because they are alternate interior angles.

• True

• False