https://file.aiquickdraw.com/mathbot/file/1729270601562z5puv7pn.jpg

The question asks: "If \(\triangle ADG \cong \triangle BCE\), what angle is congruent to \(\angle G\)?"

Since the triangles are congruent, corresponding angles are congruent as well. In congruent triangles, the order of the letters matters. The first letter corresponds to the first letter of the other triangle, the second letter to the second letter, and the third letter to the third letter.

Here, \(\angle G\) (the third letter of \(\triangle ADG\)) corresponds to \(\angle E\) (the third letter of \(\triangle BCE\)). 

Thus, the correct answer is:

**d) \(\angle E\)**.

Would you like more details on how triangle congruence works?

Here are 5 related questions you can consider:
1. What are other congruence criteria for triangles (like SAS, ASA)?
2. How can you prove triangles congruent using the SSS criterion?
3. What are corresponding sides in congruent triangles?
4. What is the difference between similarity and congruence in triangles?
5. Can you solve a problem involving non-right triangles using congruence?

**Tip**: Remember to always check the order of the vertices when identifying corresponding parts in congruent triangles.

If △ADG ≅ △BCE, what angle is congruent to ∠G?

Solve the problem of finding which angle is congruent to ∠G when △ADG ≅ △BCE. Learn about corresponding angles in congruent triangles and apply the CPCTC theorem. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation