The problem presents a diagram of a shape with labeled points A, B, and C. We need to identify: 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 DE? Note that point D is not on the figure. Assuming DE is meant to be AC.

1. Problem Description

The problem presents a diagram of a shape with labeled points A, B, and C. We need to identify:

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 DE? Note that point D is not on the figure. Assuming DE is meant to be AC.

2. Solution Steps

a) Parallel lines: Parallel lines never intersect. In the diagram, the line segment AB and BC have tick marks on them indicating the lengths are equal. Since the problem asks for line segments that are parallel and the arrows are present on one line, it suggests that line segment is parallel to line segment BC.

b) Equal lengths: The diagram indicates equal lengths using tick marks on the line segments. Segment AB and BC each have one tick mark, meaning they have the same length.

c) Perpendicular to AC: The line segment from point A to the bottom is vertical, and has arrows on it. The vertical line must be perpendicular to the line segment AC. We are not given any labeled points for where the vertical line ends. Let's call that vertical line segment AF. AF is perpendicular to segment AC. Therefore, two line segments that are perpendicular to AC is AF and AC.

3. Final Answer

a) There is no line segment that is explicitly indicated. I will assume the bottom vertical line is meant to be parallel to line segment BC.

b) AB and BC

c) Assuming that the question is really asking for line segments perpendicular to AC. There are two line segments, AC and AF, which are perpendicular.

Final Answer: AF and AC