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Circle Geometry Theorems and Relationships

Learn about angle relationships in circles such as tangents, chords, secants, and arcs. Understand how intersecting chords and tangents create specific angles based on the arc measure. Explore various theorems and solve geometry problems related to circle interactions.

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Circle Geometry Theorems and Relationships

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  1. 10.4 Other Angles Relationships In Circles

  2. Theorem A tangent and a chord intersect at a point, it makes angles that are ½ the intercepted arc.

  3. Theorem A tangent and a chord intersect at a point, it makes angles that are ½ the intercepted arc.

  4. Theorem A tangent and a chord intersect at a point, it makes angles that are ½ the intercepted arc.

  5. Theorem If two chords intersect in the circle, then the angles made are ½ the sum of the intercept arcs.

  6. Theorem If two chords intersect in the circle, then the angles made are ½ the sum of the intercept arcs.

  7. Theorem A tangent and a secant make two intercept arc, the angle made is ½ ( the big arc minus the small arc) ½(arcAC-arcBC)

  8. Theorem A tangent and a secant make two intercept arc, the angle made is ½ ( the big arc minus the small arc) ½(arcAC-arcBC)

  9. Theorem A tangent and a secant make two intercept arc, the angle made is ½ ( the big arc minus the small arc) ½(arcAC-arcBC)

  10. Theorem Two tangents make two intercept arc, the angle made is ½ ( the big arc minus the small arc) ½(arcACB-arcAB)

  11. Theorem Two tangents make two intercept arc, the angle made is ½ ( the big arc minus the small arc) ½(arcACB-arcAB)

  12. Theorem Two secants make two intercept arc, the angle made is ½ ( the big arc minus the small arc) ½(arcAC - arcBD)

  13. Theorem Two secants make two intercept arc, the angle made is ½ ( the big arc minus the small arc) ½(arcAC - arcBD)

  14. Homework Page 624 – 627 # 8 – 34, 42, 46, 47, 49 – 51 Thank you http://literacy.calumet.purdue.edu/student/bakerl3/10_5tutorial.html

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