Butterfly Theorem in Euclidean Geometry
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Questions and Answers

What is the result of (MX/MY)^2 based on the given equations and intersecting chords theorem?

  • AX⋅DX/CY⋅BY
  • PX⋅QX/PY⋅QY
  • (PM-XM)⋅(MQ+XM)/(PM+MY)⋅(QM-MY)
  • (PM)^2-(MX)^2/(PM)^2-(MY)^2 (correct)

    • What does the equation (AX⋅DX)/(CY⋅BY) represent in the context of the intersecting chords theorem?

  • Ratio of lengths of intersecting chords (correct)
  • Sum of lengths of intersecting chords
  • Difference of lengths of intersecting chords
  • Product of lengths of intersecting chords

    • How is the ratio (PX⋅QX)/(PY⋅QY) relevant in the context of the given equations and intersecting chords theorem?

  • Indicates the perpendicular bisector of the intersecting chords
  • Describes the slope of the intersecting chords (correct)
  • Represents the midpoint of the intersecting chords
  • Determines the angle between the intersecting chords

    • What does the expression (PM-XM)⋅(MQ+XM)/(PM+MY)⋅(QM-MY) signify based on the given equations and intersecting chords theorem?

    <p>Ratio of vertical distances from the intersection point</p> Signup and view all the answers

    In the context of the equations and intersecting chords theorem, what does (MX)^2/(MY)^2 represent?

    <p>Ratio of squares of vertical distances</p> Signup and view all the answers

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