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It appears that the document contains several geometric problems, many involving triangles and the calculation of sides or angles. The tasks include calculating values such as \( FG \), \( DE \), and \( QM \), as well as solving for \( x \) in different figures. The focus is on congruence, similarity, and the use of heuristic strategies in geometry.

Would you like me to solve one of these problems in detail or clarify a specific part of the document?

Here are 5 related questions to deepen understanding:
1. How do you determine triangle congruence using side lengths?
2. What is the difference between congruent and similar triangles?
3. Can the Pythagorean theorem be applied to any of the triangles in the document?
4. How can you use proportions to solve for unknown sides in similar triangles?
5. What are the notable lines in a triangle and how do they relate to solving these problems?

**Tip:** When working with triangles, always check if right triangles are present as this allows the use of the Pythagorean theorem for easier calculations.

The document contains several geometric problems, many involving triangles and the calculation of sides or angles, such as calculating values for FG, DE, and QM, and solving for x in different figures.

This guide covers problems involving triangle congruence, similarity, and heuristic strategies in geometry. Learn how to calculate side lengths and angles using notable triangle properties, including solving for unknowns such as FG, DE, QM, and x. Suitable for students in Grades 9-10.

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