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Question

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Explanation:

Identify the geometric notation

Using the Geometric Notation knowledge point, we recognize that the notation \(AD\) represents the length of the line segment connecting point \(A\) and point \(D\).

Apply the properties of distance

By definition, the distance between any two points in geometry (the length of a segment) is a measure of size. According to the Ruler Postulate, distance is always a non-negative real number. Therefore, a segment length cannot be negative, which eliminates the options \(-7\) and \(-7\text{ units}\).

Determine the correct unit representation

In standard geometric notation, when we write \(AD = \dots\), the value represents a pure numerical value representing the distance in terms of the coordinate system's units. Unless a specific physical unit (like inches or centimeters) is defined in the context, the length is expressed as a pure number. Therefore, \(AD = 7\) is the standard mathematical convention.

Answer:

  • -7
  • -7 units
  • 7 (Correct answer)
  • 7 units