https://file.aiquickdraw.com/mathbot/file/1728597169822n81fjrw0.jpg

The problem is asking for the corresponding angle in two congruent triangles, △TGS ≅ △KEL. Specifically, it wants to know which angle in △KEL corresponds to ∠T in △TGS.

Since the triangles are congruent, their corresponding angles and sides will be equal. The order of the letters in congruent triangles is important because it shows which angles and sides correspond to each other.

In this case:
- ∠T in △TGS corresponds to ∠K in △KEL because both are the first letters in the triangle names (T ↔ K).

Thus, the correct answer is **∠K**.

Would you like more details or have any other questions?

Here are some related questions for further exploration:
1. How do you determine corresponding sides in congruent triangles?
2. What are some real-world applications of congruent triangles?
3. What is the importance of the triangle congruence theorems?
4. Can two triangles be congruent if their angles are equal but sides are not?
5. What is the difference between congruence and similarity in triangles?

**Tip**: Always pay close attention to the order of the letters in congruence statements—this helps to match corresponding parts correctly.

If △TGS ≅ △KEL, which angle in △KEL corresponds to ∠T?

Learn how to determine corresponding angles in congruent triangles with this example involving △TGS ≅ △KEL. Understand how the order of letters helps identify the matching angles, such as ∠T in △TGS corresponding to ∠K in △KEL. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation