For similar triangles, the following statements are true:

• C. They are the same shape, but not necessarily the same size.

  • Similar triangles have the same shape, but their sizes can vary as long as the proportions of the corresponding sides remain consistent.

• E. They have corresponding angles that are congruent.

  • A key property of similar triangles is that all corresponding angles are equal (congruent), which ensures the triangles maintain the same shape.

Thus, the correct answers are C and E.

Let me know if you'd like more details or have questions. Here are five follow-up questions to deepen your understanding:

1. How do you determine if two triangles are similar?
2. Can two triangles be similar if their corresponding sides are not proportional?
3. How do corresponding sides in similar triangles relate to each other?
4. What is the difference between congruent triangles and similar triangles?
5. How can similar triangles be used in real-world applications?

Tip: Always remember that in similar triangles, the ratio of corresponding sides is constant, even if the triangles are different in size!