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4. Match each of the following arc lengths to the appropriate measurement in degrees. M 78 42 w D X Note: MX and WY are diameters of the circle. 1. mMY а. 60° b. 42° 2. mDX c. 180° 3. mDY d. 78° 4. mMX

4. Match each of the following arc lengths to the appropriate measurement in degrees. M 78 42 w D X Note: MX and WY are diameters of the circle. 1. mMY а. 60° b. 42° 2. mDX c. 180° 3. mDY d. 78° 4. mMX

Elementary Geometry For College Students, 7e
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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Match each of the following arc lengths to the appropriate measurement in degrees.

**4. Match each of the following arc lengths to the appropriate measurement in degrees.** The diagram shows a circle with center labeled as 'O', and four points labeled as M, W, X, and Y on the circle's circumference. The circle is divided into sections by lines connecting these points, creating arcs. The arc YD is labeled with an angle of 78°, and the arc DX is labeled with an angle of 42°. **Note:** \( MX \) and \( WY \) are diameters of the circle. \[ \begin{array}{l l} 1. \quad m\overset{\frown}{MY} & \quad \text{a. } 60^\circ \\ 2. \quad m\overset{\frown}{DX} & \quad \text{b. } 42^\circ \\ 3. \quad m\overset{\frown}{DY} & \quad \text{c. } 180^\circ \\ 4. \quad m\overset{\frown}{MX} & \quad \text{d. } 78^\circ \\ \end{array} \] The task is to match each arc measurement with the correct angle in degrees provided in the options: 60°, 42°, 180°, and 78°. Since \( MX \) and \( WY \) are diameters, they divide the circle into two equal halves, each measuring 180°.
Transcribed Image Text:**4. Match each of the following arc lengths to the appropriate measurement in degrees.** The diagram shows a circle with center labeled as 'O', and four points labeled as M, W, X, and Y on the circle's circumference. The circle is divided into sections by lines connecting these points, creating arcs. The arc YD is labeled with an angle of 78°, and the arc DX is labeled with an angle of 42°. **Note:** \( MX \) and \( WY \) are diameters of the circle. \[ \begin{array}{l l} 1. \quad m\overset{\frown}{MY} & \quad \text{a. } 60^\circ \\ 2. \quad m\overset{\frown}{DX} & \quad \text{b. } 42^\circ \\ 3. \quad m\overset{\frown}{DY} & \quad \text{c. } 180^\circ \\ 4. \quad m\overset{\frown}{MX} & \quad \text{d. } 78^\circ \\ \end{array} \] The task is to match each arc measurement with the correct angle in degrees provided in the options: 60°, 42°, 180°, and 78°. Since \( MX \) and \( WY \) are diameters, they divide the circle into two equal halves, each measuring 180°.
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