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.(2 points)

Answer 1

Based on the given information, we can conclude that lines f and g are perpendicular to each other.

This is because line f is parallel to line h, and line h is perpendicular to line j. If two lines are parallel to the same line, they must be parallel to each other. Similarly, if one of the lines perpendicular to a second line, and the second line is perpendicular to a third line, then the first and third lines are also perpendicular to each other.

Therefore, since line f is parallel to line h and line h is perpendicular to line j, we can conclude that line f and line g are perpendicular to each other.