How would you correctly label this circle? D Ø с m

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Circle Labeling Diagram Explanation**

In this diagram, we have a labeled circle with various points and line segments. Here's a detailed explanation of each component:

- **Circle:** A round shape with all points equidistant from the center point \( O \).

- **Center (O):** The point in the middle of the circle from which all points on the circumference are equidistant.

- **Line Segment \( \overline{OY} \):** This is a radius of the circle, which is a line segment from the center \( O \) to a point \( Y \) on the circumference.

- **Chord \( \overline{CD} \):** A line segment with endpoints \( C \) and \( D \) on the circle. A chord does not necessarily pass through the center.

- **Line \( m \):** A tangent to the circle. Line \( m \) touches the circle at point \( Y \) and extends in both directions without crossing into the interior of the circle.

This diagram is a useful tool in understanding concepts related to circles, including radius, chord, and tangent lines.
Transcribed Image Text:**Circle Labeling Diagram Explanation** In this diagram, we have a labeled circle with various points and line segments. Here's a detailed explanation of each component: - **Circle:** A round shape with all points equidistant from the center point \( O \). - **Center (O):** The point in the middle of the circle from which all points on the circumference are equidistant. - **Line Segment \( \overline{OY} \):** This is a radius of the circle, which is a line segment from the center \( O \) to a point \( Y \) on the circumference. - **Chord \( \overline{CD} \):** A line segment with endpoints \( C \) and \( D \) on the circle. A chord does not necessarily pass through the center. - **Line \( m \):** A tangent to the circle. Line \( m \) touches the circle at point \( Y \) and extends in both directions without crossing into the interior of the circle. This diagram is a useful tool in understanding concepts related to circles, including radius, chord, and tangent lines.
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