Geometry Circle Problem

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Questions and Answers

What type of angle is formed by the line segment from the center point to the chord XY?

  • Acute angle
  • Right angle
  • Obtuse angle (correct)
  • Straight angle

What is the length of each part of the chord VW?

  • 10 units
  • 20 units (correct)
  • 15 units
  • 25 units

What is the distance from the center point to the chord XY?

  • 20 units
  • 25 units
  • 15 units (correct)
  • 10 units

What can be said about the line segment from center point N?

<p>It is perpendicular to chord VW (B)</p> Signup and view all the answers

What is the radius of ⊙Z?

<p>25 (D)</p> Signup and view all the answers

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Study Notes

Circle with Center Z and Chords VW and XY

  • The circle has center point Z and two chords: VW and XY.
  • A line segment from the center point Z to the chord XY makes an obtuse angle.
  • The distance from the center point Z to the chord XY is 15 units.
  • A second line segment from the center point Z, perpendicular to chord VW, divides the chord VW into two equal parts of 20 units each.

Radius of Circle Z

  • The radius of the circle (⊙Z) is unknown and needs to be found.
  • The possible answers are: 25, 20, 15, or 10 units.

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