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?

  • AXâ‹…DX/CYâ‹…BY
  • PXâ‹…QX/PYâ‹…QY
  • (PM-XM)â‹…(MQ+XM)/(PM+MY)â‹…(QM-MY)
  • (PM)^2-(MX)^2/(PM)^2-(MY)^2 (correct)

What does the equation (AXâ‹…DX)/(CYâ‹…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 (PXâ‹…QX)/(PYâ‹…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)â‹…(MQ+XM)/(PM+MY)â‹…(QM-MY) signify based on the given equations and intersecting chords theorem?

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

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