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(4) Listen What notation is used to represent the distance from point \( A \) to \( B \) ? \( \overline{A B} \) \( O A-B \) O \( \overleftrightarrow{A B} \) \( O A B \)

Ask by Sullivan Lyons. in the United States
Feb 03,2025

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Answer

The distance from point \( A \) to point \( B \) is represented by \( \overline{A B} \).

Solution

The correct notation to represent the distance from point \( A \) to point \( B \) is \( \overline{A B} \). Here's a brief explanation of the options: 1. \( \overline{A B} \): This notation indicates the line segment connecting points \( A \) and \( B \), which represents the distance between them. 2. \( O A-B \): This notation is not standard for representing distance. 3. \( \overleftrightarrow{A B} \): This notation represents a line that extends infinitely in both directions through points \( A \) and \( B \), not just the distance between them. 4. \( O A B \): This notation does not represent distance and is not standard. Thus, the correct answer is \( \overline{A B} \).

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You would commonly use \( \overline{AB} \) to represent the distance between points \( A \) and \( B \). This notation designates a line segment and indicates the physical space between these two points on a geometric plane, making it essential for calculations in geometry and other related fields. In practical applications, this concept not only finds utility in mathematics but also in real-world contexts like navigation and architecture. For instance, when planning a route on a map, the distance vector between two locations can help to assess travel times, thereby enabling better logistical decision-making!

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