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  • explorations in euclidean geometry
  • building relationships between points
  • constructing unique triangles
  • parallel lines
  • similarity

explorations in euclidean geometry

Author:
eileen mooney
Topic:
Geometry
explorations in euclidean geometry

Table of Contents

  • building relationships between points

    • exploring the relationship between three points
    • triangle inequality
    • reflecting a segment across a line
    • Circle as a set of equidistant points
    • the equidistance of points in relation to a segment.
    • equidistance in relation to two points
    • exploration: equidistance and slope
    • median-altitude relationship in different triangles
  • constructing unique triangles

    • side angle side
    • side side side triangles
    • two angles and a side in between
    • ssa acute angle situation.
    • ssa obtuse triangle situation
    • ssa unique situation.
  • parallel lines

    • Same Side Interior
    • Corresponding Angles
    • angles around a transversal
    • pile of points equidistant to a line
  • similarity

    • shapes of triangles
    • triangle similarity, given side lengths
    • similar parallelograms
    • AAAA similarity?
    • Bri's Conjecture
    • angle bisector in a triangle
Next
exploring the relationship between three points

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