https://file.aiquickdraw.com/mathbot/file/1729271267962jxem8t0w.jpg

The problem you're working on is about corresponding parts of congruent triangles. The given information is:

"If ΔLMK ≅ ΔLMT, then ∠K ≅ ____."

Since the triangles are congruent, corresponding angles are equal. From the triangle names (ΔLMK and ΔLMT), you can deduce that:

- ∠L in ΔLMK corresponds to ∠L in ΔLMT,
- ∠M corresponds to ∠M,
- Therefore, ∠K in ΔLMK corresponds to ∠T in ΔLMT.

Thus, the correct answer is **∠T**.

Would you like more details or have any questions? Here are five related questions:

1. What does it mean for two triangles to be congruent?
2. How can you identify corresponding parts of congruent triangles?
3. What are the congruence theorems used for proving triangles congruent?
4. How do side lengths correspond in congruent triangles?
5. Can two triangles be congruent if only two angles are equal?

**Tip:** When naming triangles in a congruence statement, the order of the letters matters because it shows which parts correspond to each other.

This geometry problem involves congruent triangles and corresponding angles. Given that ΔLMK ≅ ΔLMT, the solution shows how to determine the congruent angle for ∠K based on the properties of corresponding angles in congruent triangles. Suitable for students in Grades 7-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation