Explore the relationships between points, lines, and planes.

• Students will identify parallel lines and planes.
• Students will identify perpendicular lines and planes.
• Students will recognize skew lines.
• Students will discuss the intersection of planes.

• Parallel lines
• Perpendicular lines
• Collinear
• Noncollinear
• Plane
• Skew

This lesson involves use of a cube to represent space. Points and segments flash when clicked. As a result students will:

• Click on vertices of a cube to identify planes, including an interior plane.
• Click on segments of a cube to identify parallel, perpendicular, and skew segments.
• Rotate the cube to visualize the relationships from different perspectives.
• Manipulate planes in space to show the intersection of two planes is a line, and the intersection of three planes can be a point or a line.