Let's analyze the image and classify the pairs of lines as either Parallel, Perpendicular, or Cannot Be Determined based on their relationships in the diagram.

Analysis:

1. Lines AB and CD:

   • These two lines are horizontal and both appear to be straight and equidistant from each other across their lengths. Hence, they are parallel.

2. Lines CD and GH:

   • Line CD is horizontal, while line GH is vertical. As horizontal and vertical lines meet at a right angle (90°), they are perpendicular.

3. Lines AB and GH:

   • Line AB is horizontal, while line GH is vertical. Since horizontal and vertical lines form a right angle (90°), these lines are also perpendicular.

4. Lines IJ and CD:

   • Both IJ and CD are horizontal and appear to be equidistant from each other, making them parallel.

Classification:

1. AB and CD - Parallel
2. CD and GH - Perpendicular
3. AB and GH - Perpendicular
4. IJ and CD - Parallel

If you'd like further clarification or additional details, feel free to ask! Below are 5 related questions and a tip to explore this further:

Related Questions:

1. How can you identify parallel lines from a diagram?
2. What are the geometric properties of perpendicular lines?
3. Are there any exceptions where lines that look perpendicular may not be?
4. Can two lines be perpendicular in 3D space but not in 2D space?
5. How do you calculate the angle between two lines if they are neither parallel nor perpendicular?

Tip:

When determining if lines are parallel, always check for equal spacing and alignment. To verify perpendicularity, ensure the lines form a 90° angle using visual cues or tools like a protractor.