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Twenty Conjectures in Geometry:

  1. Vertical Angle Conjecture: Non-adjacent angles formed by two intersecting lines.
  2. Linear Pair Conjecture: Adjacent angles formed by two intersecting lines.
  3. Triangle Sum Conjecture: Sum of the measures of the three angles in a triangle.
  4. Quadrilateral Sum Conjecture: Sum of the four angles in a convex four-sided figure.
  5. Polygon Sum Conjecture: Sum of the angles for any convex polygon.
  6. Exterior Angles Conjecture: Sum of exterior angles for any convex polygon.
  7. Isosceles Triangle Conjectures: Isosceles triangles have equal base angles.
  8. Isosceles Trapezoid Conjecture: Isosceles trapezoids have equal base angles.
  9. Midsegment Conjectures: Lengths of midsegments for triangles and trapezoids.
  10. Parallel Lines Conjectures: Corresponding, alternate interior, and alternate exterior angles.
  11. Parallelogram Conjectures: Side, angle, and diagonal relationships.
  12. Rhombus Conjectures: Side, angle, and diagonal relationships.
  13. Rectangle Conjectures: Side, angle, and diagonal relationships.
  14. Congruent Chord Conjectures: Congruent chords intercept congruent arcs.
  15. Chord Bisector Conjecture: The bisector of a chord passes through the center of the circle.
  16. Tangents to Circles Conjectures: A tangent to a circle is perpendicular to the radius.
  17. Inscribed Angle Conjectures: An inscribed angles has half the measure of intercepted arc.
  18. Inscribed Quadrilateral Conjecture: Opposite angles are supplements.
  19. The Number "Pi" Conjectures: Circumference and diameter relationship for a circle.
  20. Arc Length Conjecture: Formula to calculate the length of an arc on a circle.
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