TOPICS

RELATED PROBLEMS

Chapter 1

• using The Geometer’s Sketchpad
• constructing geometric objects
• basic language of geometry
• congruent triangles
• exterior angle of a triangle and its relation to the other angles
• inscribed angles and central angles in a circle, and how they are related
• cyclic quadrilaterals
• transversals on parallel lines

•  
• A6, E29
• E6, E7, E9, E26
• E3, E18, E26, E29
• A5, E21
  
• A7, A8
  
• A9, E23
• A3, E26

Chapter 2

• altitudes, medians, angle bisectors, perpendicular bisectors of sides
• points defined by concurrence: orthocenter, etc.
  
• proving congruence of triangles
• similar triangles and proportions
• circumcircle of a triangle
• Ceva’s Theorem and its converse

• A1, A2, A3, A4
  
• A1, A2, A3, A4, E37, E38, E40
• E25, E26, E29
•  
• E43, E44
• A7, E36, E37

Chapter 3

• calculating the power of a point (three methods)
• why the three methods for power are equivalent
• arbelos
• orthogonal circles
• Pythagorean Theorem
• incircles and excircles of a triangle

• A2, A3, A5, A6
• A5, A6, E20, E21
• A7, E24
• A8, E17
• A1, E11, E12, E13
• A9, E15, E16