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