The problem describes a geometrical figure and asks three questions: a) Which two line segments are parallel to each other? b) Which two line segments are equal in length? c) Which two line segments are perpendicular to $AB$?

1. Problem Description

The problem describes a geometrical figure and asks three questions:

a) Which two line segments are parallel to each other?

b) Which two line segments are equal in length?

c) Which two line segments are perpendicular to $AB$?

2. Solution Steps

a) Parallel line segments are indicated by arrow markings. In the figure, $AE$ and $BC$ have arrow markings, meaning they are parallel.

b) Equal length line segments are indicated by tick marks. In the figure, $ED$ and $CD$ have tick marks, meaning they are equal in length.

c) Perpendicular line segments form a right angle ($90$ degrees). In the figure, there are right angle symbols between line segment $AB$ and line segments $AE$ and $BC$. Thus $AE$ and $BC$ are perpendicular to $AB$.

3. Final Answer

a) $AE$ and $BC$ are parallel.

b) $ED$ and $CD$ are equal in length.

c) $AE$ and $BC$ are perpendicular to $AB$.