Refer to the figure. What is another name for line p?
Understand the Problem
The question is asking for an alternative name for line p based on the information and options provided in the figure. To determine this, we need to analyze the relationships between various points and lines depicted in the figure.
Answer
The alternative name for line p is $\overline{CD}$ or $\overline{DC}$.
Answer for screen readers
The alternative name for line p is $\overline{CD}$ or $\overline{DC}$.
Steps to Solve
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Identify Line p Line p is indicated in the figure with points D and C on the line.
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Determine Points on Line p Look for points that are mentioned or indicated to lie on line p. In this case, point D and point C are points that determine the line.
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Find Alternative Naming Options According to geometric conventions, lines can be named using any two points on that line. The line can be referred to as $\overline{DC}$ or $\overline{CD}$, since both refer to the same line.
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Review Given Options The options state:
- A) $\overline{AB}$ or $\overline{BA}$
- B) $\overline{CD}$ or $\overline{DC}$
- C) $\overline{BE}$ or $\overline{EB}$
- D) $\overline{BC}$ or $\overline{AE}$
- Select the Correct Option From the analysis, the correct alternative name for line p, based on the points identified, is $\overline{CD}$ or $\overline{DC}$. So, the choice is option B.
The alternative name for line p is $\overline{CD}$ or $\overline{DC}$.
More Information
In geometry, lines can be represented by endpoints to uniquely identify them. By referring to line p with its endpoints, D and C, we can maintain clarity and accuracy in geometric discussions.
Tips
- Confusing line segments with lines: Remember that a line continues indefinitely in both directions, while a line segment has defined endpoints.
- Not recognizing that lines can be named in either order: $\overline{CD}$ is the same as $\overline{DC}$.
