How do you name a ray, and what is the correct notation for a ray starting at U and passing through V?

Question

ScanSolve AI Tutor · Accepted Answer

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.

Identify the endpoint of the ray.
The ray in the image starts at point U. This is its endpoint.
Identify another point on the ray.
The ray passes through point V.
Determine the direction of the ray.
The ray extends infinitely from U, through V, and beyond V.
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 U and passing through V is written as $\overrightarrow{UV}$ .

Let's check the given options:
- UV: This represents a line segment between U and V.
- $\overrightarrow{UV}$ : This represents a ray starting at U and extending through V. This matches the diagram.
- $\overrightarrow{VU}$ : This represents a ray starting at V and extending through U. This is incorrect as the ray starts at U.
- $\overleftrightarrow{UV}$ : This represents a line passing through U and V, extending infinitely in both directions.
The correct way to write the name of this ray is $\overrightarrow{UV}$ .

The final answer is $\boxed{\overrightarrow{UV}}$
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How do you name a ray, and what is the correct notation for a ray starting at U and passing through V?

Answer

Step-by-step solution

Identify the endpoint of the ray.

Identify another point on the ray.

Determine the direction of the ray.

Choose the correct notation.

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