Chapters
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Defining terms, drawing geometric figures, exploring geometry and The Geometer's Sketchpad, applications: Structures
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Types of symmetry, translation, rotation, reflection, dilation, applications: Graphic Design
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Discovering relationships, verifying the truth of conjectures, deductive & inductive reasoning, applications: History of Geometry
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Proving triangles congruent, making conclusions from congruent triangles, deductive reasoning, applications: Tangrams
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Types of triangles, discovering properties, lines in triangles, equidistance, centers, Pythagoras, applications: Origami
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Right triangles, The Pythagorean Theorem, Special right triangles, applications: graphic design, right triangle spirals
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Parallels, coordinates, slope, draw & visualize in 3-D, Plane, & solid geometries, applications: Perspective Drawing
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Types of polygons, quadrilateral properties, sum of exterior and interior angles, applications: Tessellations
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Defining similarity, proving triangles similar, using ratio and proportion, applications: Indirect Measurement
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Chords & angles in circles, angles & arcs, inscribe & circumscribe, ¹ , applications: Graphs and Charts
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Methods of finding perimeter and area, maximum and minimum questions, applications: Architecture
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Methods of finding surface area and volume, area and volume ratios, applications: Castles
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