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  • John Rhodes
  • June 21, 2023
  • Geometry

Scale Factor: The Key To Resizing Figures In Geometry And Beyond

Scale Factor A ratio of the lengths of the corresponding sides of two similar polygons. Scale factor refers to the ratio of corresponding lengths of two similar...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Exploring Regular Polygons: Properties, Formulas, And Real-World Applications

Regular Polygon A convex polygon that is both equilateral and equiangular. A regular polygon is a closed shape with straight sides and equal angles. All of its...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Inscribed Shapes And Angles In Geometry

Inscribed A polygon inside a circle, with each vertex of the polygon falling on the circumference of the circle. Inscribed refers to any object or shape that...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Exploring The Multi-Faceted Meanings Of ‘Center’: From Geometry To Culture, Politics, Spirituality, And Sports

Center A coplanar point that is equidistant from every vertex of a polygon. The center can refer to different things depending on the context in which it...
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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

Span{U,V} As A Plane: Linear Dependencies, Points, Cross Products, And Equations

sometimes Span{u,v} is a plane linearly independent If Span{u, v} is a plane, then it means that the two vectors u and v lie on the same...
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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

Vector Spaces: When {U,V} Is More Than A Point Or A Line

sometimes {u,v} is just a point or a line linearly dependent The statement sometimes {u,v} is just a point or a line makes sense in the context...
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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

Linear Independence In Linear Algebra: Importance And Applications

linearly independent a set of vectors v1, …, vp in R^n is linearly independent if the vector equation x1v1 + x2v2 + … xpvp = 0 has...
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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

Determinant Test: Linear Independence Of Vectors In R^N

{v1…vp} in R^n is linearly independent if and only if x1v1 … + xpvp = 0 has only the trivial solution (x1=0, xp=0)Ax=0 has only the trivial...
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