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How do you name a ray, given its endpoint and another point on the ray? For example, name the ray shown in the image.

Mathematics

ScanSolve AI Answer

Answer

ST→\overrightarrow{ST}

Step-by-step solution

4 steps

To name a ray, you must start with its endpoint and then list another point on the ray, with an arrow symbol above pointing in the direction of extension.

  1. Identify the endpoint of the ray.

    The ray in the image starts at point S. This is its endpoint.

  2. Identify another point on the ray.

    The ray passes through point T.

  3. Determine the direction of the ray.

    The ray extends infinitely from S, through T, and beyond T.

  4. Choose the correct notation.

    The notation for a ray starts with the endpoint, followed by another point on the ray, with a single-headed arrow above pointing to the right.
    Therefore, the ray starting at S and passing through T is written as ST→\overrightarrow{ST}.

    Let's check the given options:

    • ST→\overrightarrow{ST}: This represents a ray starting at S and extending through T. This matches the diagram.
    • ST: This represents a line segment between S and T.
    • TS→\overrightarrow{TS}: This represents a ray starting at T and extending through S. This is incorrect as the ray starts at S.
    • ST↔\overleftrightarrow{ST}: This represents a line passing through S and T, extending infinitely in both directions.

    The correct way to write the name of this ray is ST→\overrightarrow{ST}.

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