Learn Geometry I

Description

In this course, you will :

• Solve fun geometry puzzles while also developing a solid foundation of problem-solving skills with angles, triangles, and polygons.
• You'll also improve your visual intuition and learn how to devise clever, creative solutions to difficult problems.
• If you know how to measure angles and calculate the areas of rectangles, circles, and triangles and want to learn the next level of geometric problem-solving techniques, this course is a great place to start (or continue) your exploration of geometry.

Syllabus :

1. Angles

• Angle Hunting Axioms
• Advanced Mental Shortcuts
• Internal Angles in a Polygon
• Invariant Angle Sets

 

2. Triangles

• The Triangle Inequality
• Congruent and Similar Triangles
• Bass Fishing
• Curry's Paradox

 

3. Composite Polygons

• Adding Lines and Grids
• Add lines to help clarify your thinking.
• Complementary Areas
• Inclusion and Exclusion

 

4. Regular Polygons

• Angles of Regular Polygons
• Is It Regular?
• Polygon Areas and Lengths
• Matchstick Polygons

 

5. When Geometry Gets Tough

• When It Gets Tough
• Challenging Composites
• Coordinate Geometry
• Advanced Angle Hunting

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