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Identify points and line segments

A point represents an exact location, often identified by a capital letter, while a line segment is the straight path connecting two distinct endpoints, including the endpoints themselves. These ideas support interpreting and labeling geometric drawings, distinguishing a segment from a line that extends indefinitely or a ray with one endpoint, and recognizing segments as the basic parts of polygons and measurable lengths.

Detailed Explanation: Identify points and line segments

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

A line segment is a straight path connecting two different points. It includes both endpoints. A segment with endpoints AA and BB is named AB‾\overline{AB} or BA‾\overline{BA}.

Example

Look at this drawing:

        C
       / \
      /   \
     A-----B

Step 1: Identify the points.
The capital letters mark the points:

A, B, and CA,\ B,\ \text{and } C

So, the drawing has three points.

Step 2: Find each straight path connecting two points.

  • The path from AA to BB is AB‾\overline{AB}.
  • The path from AA to CC is AC‾\overline{AC}.
  • The path from BB to CC is BC‾\overline{BC}.

Step 3: Check the endpoints.
Each segment has two endpoints:

  • AB‾\overline{AB} has endpoints AA and BB.
  • AC‾\overline{AC} has endpoints AA and CC.
  • BC‾\overline{BC} has endpoints BB and CC.

So, the drawing shows 3 points and 3 line segments.

Learn by doing: Identify points and line segments

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Identify Lines, Segments, and Rays - First Time


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