https://file.aiquickdraw.com/mathbot/file/1724544680558ln5ubepj.jpg

In the diagram, the perpendicular segments are marked with a small square at the intersection point.

The segments \(\overline{HG}\) and \(\overline{GF}\) are marked as perpendicular to each other. This is indicated by the small square at their intersection point \(G\), showing that the angle formed is \(90^\circ\).

So, \(\overline{HG}\) is perpendicular to \(\overline{GF}\).

Would you like more details or have any further questions?

Here are some related questions:
1. How can you determine if two lines are perpendicular using their slopes?
2. What are the properties of perpendicular lines in a coordinate plane?
3. How does the concept of perpendicularity apply to the sides of a right triangle?
4. Can you find other pairs of perpendicular segments in more complex geometric shapes?
5. How is perpendicularity used in defining the height of a shape like a triangle or trapezoid?

**Tip:** When identifying perpendicular lines, look for the right angle symbol or other indicators such as slopes that are negative reciprocals of each other.

Explore the concept of perpendicular lines in geometry with clear explanations and examples. Learn how to identify perpendicular segments using the Perpendicularity Theorem and understand their properties in different geometric shapes. Suitable for students in Grades 7-9.

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