Geometry: Segments and Rays Flashcards

Segments

• A segment is a portion of a line defined by two endpoints and all points in between.

Naming Segments

• To name a line segment, use the endpoints and place a line segment symbol above the two points.

Rays

• A ray begins at a point and extends infinitely in one direction, lacking measurable length.

Naming Rays

• Rays are named by stating the endpoint first, followed by a second point on the ray's path. The same endpoint and direction designate identical rays.

Opposite Rays

• Opposite rays share the same endpoint but extend in opposite directions, forming a straight line.

Naming Opposite Rays

• Named using two points, with the first as the endpoint, and the second as any point on the ray extending outward.

Parallel Lines

• Parallel lines are coplanar and do not intersect, maintaining a constant distance from each other.

Skew Lines

• Skew lines are non-coplanar; they are neither parallel nor do they intersect.

Parallel Planes

• Parallel planes are defined as planes that do not intersect.

Parallel Segments

• Parallel segments lie in the same plane and do not intersect in the lines that contain them.

Skew Segments

• Skew segments do not reside within the same plane, indicating their non-coplanarity.

Conditions for Parallel Planes

• Planes are considered parallel if they do not intersect.