Identify a set of parallel and a set of perpendicular lines in this image.

Question

An image shows that line BF intersects both line AD and line EH at 90 degree angles and that line CG intersects both line AD and line EH at 90 degree angles. At the points of intersections, a right angle symbol is shown, indicating that line BF is perpendicular to line AD and to line EH and line CG is perpendicular to line AD and line EH.

Answer 1

In the given image, the lines BF and CG are both perpendicular to lines AD and EH. This means that lines BF and CG are not parallel to each other, but they share the property of being perpendicular to the same lines.

To summarize:

• Perpendicular lines:

  • Line BF is perpendicular to line AD.
  • Line BF is perpendicular to line EH.
  • Line CG is perpendicular to line AD.
  • Line CG is perpendicular to line EH.

• Parallel lines: There are no lines indicated in the image that are parallel to each other based on the given information. If there were lines that did not intersect and maintained a consistent distance apart, those would be considered parallel. However, since only perpendicular relationships are described in the image, we can conclude that there are no identified sets of parallel lines in this context.