Lines f, g, h and j are in the same plane. Line f is parallel to line h. Lines g and h are perpendicular to line j. Using this information how are lines f and g related? Justify your answer.

Answer 1

Based on the given information, we know that line f is parallel to line h and lines g and h are perpendicular to line j.

If two lines are parallel, they do not intersect and remain the same distance apart throughout their length. Since line f is parallel to line h, it means that line g, which is perpendicular to line h, will also be perpendicular to line f.

In other words, lines f and g are perpendicular to each other.