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  • John Rhodes
  • June 21, 2023
  • Algebra

Quadratic Equations: Positive Non-Perfect Square Discriminant Results In Two Distinct Irreducible Roots

if the discriminant is positive, > 0 but NOT a perfect square irrational If the discriminant is positive but not a perfect square, then the roots of...
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  • John Rhodes
  • June 21, 2023
  • Geometry

The Properties And Applications Of Parallel Lines In Mathematics: A Comprehensive Guide

parallel lines Coplanar lines that do not intersect. Parallel lines are two or more lines that are always the same distance apart and never intersect. They have...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Skew Lines: Properties And Examples In 3-Dimensional Space

skew lines Lines that do not intersect and are not coplanar. Skew lines are lines in 3-dimensional space (i.e. not in the same plane) that do not...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Parallel Planes In Geometry: Definition, Distance, And Importance In Various Fields

parallel planes Two planes that do not intersect. Parallel planes are two or more planes that do not intersect, i.e., they are always separated by the same...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Mastering Transversals In Geometry: Corresponding, Alternate, Vertical, And Interior Angles

transversal A line that intersects two coplanar lines at two distinct points. In geometry, a transversal refers to a line that intersects two or more other lines,...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Corresponding Angles: A Key Concept In Geometry For Measuring Angle Relationships

corresponding angles Angles formed by a transversal cutting through 2 or more lines that are in the same relative position. Corresponding angles refer to pairs of angles...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Mastering Math: The Concept Of Alternate Interior Angles In Parallel Lines

alternate interior angles Angles that lie within a pair of lines and on opposite sides of a transversal. Alternate interior angles are a type of angles formed...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Mastering Alternate Exterior Angles: Properties And Applications In Geometry

alternate exterior angles Angles that lie outside a pair of lines and on opposite sides of a transversal. Alternate exterior angles are a pair of angles that...
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