We are given a pentagon ABCDE. We need to answer the following questions: a) Which two line segments are parallel to each other? b) Which two line segments are equal lengths? c) Which two line segments are perpendicular to $AB$?

1. Problem Description

We are given a pentagon ABCDE. We need to answer the following questions:

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

b) Which two line segments are equal lengths?

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

2. Solution Steps

a) Parallel lines are lines that never intersect. In the given figure, $AE$ and $BC$ have arrows indicating that they are parallel. So $AE$ and $BC$ are parallel to each other.

b) Equal length line segments are marked with single strokes. $ED$ and $CD$ both have a single stroke indicating they have the same length. So $ED$ and $CD$ are of equal length.

c) Perpendicular lines are lines that intersect at a right angle. The figure indicates right angles at vertex $A$ and vertex $B$. This means $AE$ is perpendicular to $AB$ and $BC$ is perpendicular to $AB$.

3. Final Answer

a) $AE$ and $BC$ are parallel to each other.

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

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