The image shows a right triangle with labeled points and an instruction asking to "name the similar triangles."

To identify similar triangles, we would need to check if the two triangles in question share the same shape, meaning that their corresponding angles are equal, and their corresponding sides are proportional.

In the image, triangle DEF appears to be the larger triangle, and triangle DGF seems to be the smaller one. Based on the labeling, and given that there is a shared angle at vertex D, we can conclude that the two triangles could be similar by the AA (Angle-Angle) criterion for similarity (two angles being equal).

If you'd like further details or explanations on similarity and proportional sides, feel free to ask! Would you like me to continue explaining how to check this similarity more rigorously, or do you have another question related to this?

Here are some related questions:

1. What is the AA criterion for triangle similarity?
2. How do we determine proportionality of sides in similar triangles?
3. What are other criteria for triangle similarity?
4. How does the Pythagorean theorem apply to right triangles?
5. Can two triangles have the same area and still not be similar?

Tip: Always check for shared angles and proportional sides when determining if two triangles are similar!