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
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°.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F081dc05e-0bfb-4e54-b2bd-95ea18e8057c%2Fdb8360af-139e-46fa-8395-212f502c6c03%2Frowqh0h_processed.png&w=3840&q=75)
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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