Chapters

Defining terms, drawing geometric figures, exploring geometry and The Geometer's Sketchpad, applications: Structures



Types of symmetry, translation, rotation, reflection, dilation, applications: Graphic Design



Discovering relationships, verifying the truth of conjectures, deductive & inductive reasoning, applications: History of Geometry



Proving triangles congruent, making conclusions from congruent triangles, deductive reasoning, applications: Tangrams



Types of triangles, discovering properties, lines in triangles, equidistance, centers, Pythagoras, applications: Origami



Right triangles, The Pythagorean Theorem, Special right triangles, applications: graphic design, right triangle spirals



Parallels, coordinates, slope, draw & visualize in 3D, Plane, & solid geometries, applications: Perspective Drawing



Types of polygons, quadrilateral properties, sum of exterior and interior angles, applications: Tessellations



Defining similarity, proving triangles similar, using ratio and proportion, applications: Indirect Measurement



Chords & angles in circles, angles & arcs, inscribe & circumscribe, ¹ , applications: Graphs and Charts



Methods of finding perimeter and area, maximum and minimum questions, applications: Architecture



Methods of finding surface area and volume, area and volume ratios, applications: Castles
