The diagram shows several horizontal and vertical lines, with two vertical lines intersecting five horizontal lines labeled $a$, $b$, $c$, $d$, and $e$. The small squares at intersections indicate right angles, which implies that the vertical lines are perpendicular to the horizontal lines.

To determine which pairs of horizontal lines are parallel, observe that:

1. Lines that are perpendicular to the same vertical line, at the same angles, are parallel.
2. If two horizontal lines remain the same distance apart, they are parallel.

Based on the configuration of the diagram, we can conclude the following:

1. Lines $a$, $b$, $c$, $d$, and $e$ are all parallel to each other, as they are all horizontal and run parallel to the two vertical lines, intersecting them perpendicularly at right angles.

Thus, the true statements regarding parallel lines from the provided options are:

• $e \parallel c$
• $a \parallel d$
• $a \parallel e$
• $b \parallel e$
• $b \parallel d$
• $a \parallel c$
• $b \parallel c$

These statements are all correct because each pair consists of lines that are parallel to each other.

Would you like a more detailed explanation on parallel lines, or have any questions?

Here are 5 related questions to deepen your understanding:

1. How can you identify parallel lines in a complex diagram with multiple lines?
2. What properties make two lines parallel when they intersect perpendicular lines?
3. How would adding another perpendicular line affect the relationships among the horizontal lines?
4. How can we prove lines are parallel using angles formed by intersecting lines?
5. In what scenarios would two lines be perpendicular rather than parallel?

Tip: When analyzing diagrams, look for right-angle indicators; they often help confirm parallel or perpendicular relationships among lines.