Are the triangles similar? Yes. Explanation: AA Congruence Theorem
Practice makes perfect
Let's notice that the drawn triangles have one corresponding angle congruent. Since we have no information about the side lengths, let's think how we can prove similarity using angle measures.
Now, recall the Corresponding Angles Postulate.
If parallel lines are cut by a transversal,
then the pairs of corresponding angles
are congruent.
Since we know that these triangles have parallel sides, then the pairs of corresponding angles are congruent.
As we can see, these two triangles have corresponding angles congruent. Therefore, by the Angle-Angle Similarity Theorem, they are similar.
