The question asks which two line segments are perpendicular to $AB$. From the image:

1. $AB$ is marked as a horizontal line segment.
2. Right angles are explicitly marked at both ends of $AB$, at points $A$ and $B$.

Perpendicular Line Segments

• $AE$: At $A$, this vertical line segment is perpendicular to $AB$.
• $BC$: At $B$, this vertical line segment is also perpendicular to $AB$.

Conclusion:

The two line segments perpendicular to $AB$ are $AE$ and $BC$.

Let me know if you have further questions or would like a detailed explanation!

Follow-up Questions:

1. What does it mean for two line segments to be perpendicular?
2. How do markings (such as the right-angle symbols) help in identifying perpendicularity?
3. Could $CD$ or $DE$ ever be perpendicular to $AB$? Why or why not?
4. What properties does this polygon have based on the given markings?
5. How can perpendicularity be confirmed using slopes or coordinates in analytical geometry?

Tip:

When solving geometry problems, look for symbols like right-angle markers or parallel indicators—they often provide essential clues!