Lines a,b,c,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
Based on the given information, lines a and b are not related. They are neither parallel nor perpendicular to each other.
Given that lines a and c are parallel, and lines b and c are perpendicular, we can conclude that lines a and b are neither parallel nor perpendicular to each other.
Based on the given information, we know that lines a and c are parallel, and lines b and c are perpendicular. Therefore, we can conclude that lines a and b are skew.
To understand why lines a and b are skew, we need to understand the concepts of parallel and perpendicular lines.
1. Parallel Lines: Two lines are considered parallel if they are coplanar (lie in the same plane) and do not intersect. In this case, line a is parallel to line c, which means they never intersect and are in the same plane.
2. Perpendicular Lines: Two lines are considered perpendicular if they intersect at a right angle (90 degrees). In this case, lines b and c are perpendicular to line d, which means they form a right angle where they intersect.
Skew Lines: When two lines are neither parallel nor intersecting, they are called skew lines. In this case, since lines a and b do not intersect and are not parallel, we can conclude that they are skew lines.
In summary, lines a and b are skew lines because they do not intersect and are not parallel to each other.