TOPICS 
RELATED PROBLEMS 
Chapter 1
 using The Geometer’s Sketchpad
 constructing geometric objects
 basic language of geometry
 inscribed angles and central angles in a circle, and how they are related
 cyclic quadrilaterals


 A1, A2, A3, A6, A7, A8
 E4, E7, E15, E16, E21, E28
 A4,A5
 A9, E20

Chapter 2
 negations and implications
 congruent triangles
 exterior angle of a triangle and its relation to the other angles
 transversals on parallel lines
 constructions

 A5, A6, A7, E12, E13
 A1, E4, E5
 A8, E16, E25
 A9, A10
 A2, A3, A4, E30b

Chapter 3
 more on negations and implications
 Pythagorean Theorem
 altitudes, medians, angle bisectors, perpendicular bisectors of sides
 points defined by concurrence: orthocenter, etc.
 proving congruence of triangles
 circumcircle of a triangle
 Ceva’s Theorem and its converse

 A1. A2, E11, E15
 A3, E6, E9
 A4, A5, A6, A7, E29a
 A4, A5, A6, A7, E42
 E16, E19, E20, E21
 E31, E43
 A9, A10, E37, E38, E39

Chapter 4
 cyclic quadrilaterals
 calculating the power of a point (three methods)
 why the three methods for power are equivalent
 arbelos
 incircles and excircles of a triangle
 radical axis

 A1, A2, E8, E14
 A3, A5, A6, E3
 E27
 A7, E29a
 A8, E15
 E18, E19, E21
