Ctrl+k

Identify points, lines, line segments, and rays

A point represents an exact location, while a line is a straight path extending without endpoints in both directions, a line segment is the portion between two endpoints, and a ray has one endpoint and extends indefinitely in one direction. Learners interpret these objects in drawings and distinguish endpoint dots from directional arrows, including how the order of two labeled points affects naming a ray; formal proofs, coordinates, slopes, and angle relationships are not included.

Detailed Explanation: Identify points, lines, line segments, and rays

A point shows one exact location. It is drawn as a dot and named with one capital letter, such as AA.

To identify a geometric object in a drawing:

  • Line segment: Look for two endpoint dots with no arrows. It has a beginning and an end. Name it with BC\overline{BC} or CB\overline{CB}.
  • Line: Look for arrows in both directions. It continues forever both ways. Name it with DE\overleftrightarrow{DE} or ED\overleftrightarrow{ED}.
  • Ray: Look for one endpoint dot and one arrow. It begins at the endpoint and continues forever in one direction. Name it with the endpoint letter first.

Consider this drawing:

Point:    A •

Segment:  B •────────• C

Line:     ←────• D────────• E────→

Ray:      F •────────• G────→

Step 1: Find the point

AA is a single dot showing one exact location. It is point AA.

Step 2: Find the line segment

The drawing from BB to CC has two endpoint dots and no arrows. It is a line segment:

BC\overline{BC}

You could also write CB\overline{CB} because the order does not matter for a segment.

Step 3: Find the line

The drawing through DD and EE has arrows at both ends, so it continues forever in both directions. It is a line:

DE\overleftrightarrow{DE}

You could also write ED\overleftrightarrow{ED}.

Step 4: Find the ray

The drawing starts at the dot FF and has an arrow pointing past GG. It is a ray:

FG\overrightarrow{FG}

The endpoint must be named first, so GF\overrightarrow{GF} would name a different ray.

Learn by doing: Identify points, lines, line segments, and rays

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Practice with unlimited practice problems

Identify Lines, Segments, and Rays


    ?