Lines a, b, c, and d are in the

same plane. Line a is parallel to
line c. Lines b and c are
perpendicular to line d. Based on
this, tell how lines a and b are
related. Justify your answer.

Lines a and b are neither parallel nor perpendicular to each other.

This can be justified by the fact that line a is parallel to line c, while line b is perpendicular to line d. Since line a and line c are parallel, and line d makes a right angle with line b, lines a and b must intersect at some point, making them neither parallel nor perpendicular.