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.
Based on the given information, we can conclude that lines a and b are neither parallel nor perpendicular to each other.
To determine how lines a and b are related, we need to analyze the given information. Here's a step-by-step explanation:
1. The lines a, b, c, and d are in the same plane.
- This means that all four lines lie within a two-dimensional space without intersecting each other.
2. Line a is parallel to line c.
- Parallel lines never intersect and always lie in the same plane. Therefore, lines a and c will never cross each other.
3. Line b and line c are perpendicular to line d.
- Perpendicular lines meet at a right angle (90 degrees). Since line b and line c are both perpendicular to line d, they are also perpendicular to each other.
Based on this information, we can conclude that lines a and b are perpendicular to each other.