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Example 2: Find the following values for OP. mAC = (4x)° and mBC = (x + 78)° %3D A) mAC = P. B) mDC = %3D C) mĀB = %3D C D) MLDPA = Rule 2 If a diameter (or radius) is perpendicular to a chord, then it bisects the chord and the arc. B. AT

Example 2: Find the following values for OP. mAC = (4x)° and mBC = (x + 78)° %3D A) mAC = P. B) mDC = %3D C) mĀB = %3D C D) MLDPA = Rule 2 If a diameter (or radius) is perpendicular to a chord, then it bisects the chord and the arc. B. AT

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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### Example 2: Finding Values for Circle OP Given: - \( m\overset{\frown}{AC} = (4x)^\circ \) - \( m\overset{\frown}{BC} = (x + 78)^\circ \) Find the following values: A) \( m\overset{\frown}{AC} = \) B) \( m\overset{\frown}{DC} = \) C) \( m\overset{\frown}{AB} = \) D) \( m\angle DPA = \) ### Diagram Explanation The accompanying diagram depicts a circle with center \( P \). Points \( A \), \( B \), \( C \), and \( D \) are on the circumference. The lines \( AP \), \( BP \), and \( DP \) are radii of the circle, and \( DC \) is a chord perpendicular to the diameter at point \( P \). ### Rule 2 "If a diameter (or radius) is perpendicular to a chord, then it bisects the chord and the arc." This information is helpful for solving the problem as it provides a geometric property that can simplify calculations. Please use this information as a guide for solving the equations and understanding the geometric properties involved.
Transcribed Image Text:### Example 2: Finding Values for Circle OP Given: - \( m\overset{\frown}{AC} = (4x)^\circ \) - \( m\overset{\frown}{BC} = (x + 78)^\circ \) Find the following values: A) \( m\overset{\frown}{AC} = \) B) \( m\overset{\frown}{DC} = \) C) \( m\overset{\frown}{AB} = \) D) \( m\angle DPA = \) ### Diagram Explanation The accompanying diagram depicts a circle with center \( P \). Points \( A \), \( B \), \( C \), and \( D \) are on the circumference. The lines \( AP \), \( BP \), and \( DP \) are radii of the circle, and \( DC \) is a chord perpendicular to the diameter at point \( P \). ### Rule 2 "If a diameter (or radius) is perpendicular to a chord, then it bisects the chord and the arc." This information is helpful for solving the problem as it provides a geometric property that can simplify calculations. Please use this information as a guide for solving the equations and understanding the geometric properties involved.
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