A. Reasoning: Inductive and Deductive
B. Undefined terms and basic definitions
C. Angles
D. Basic constructions
E. Proofs
F. Theorems

II. CONGRUENT TRIANGLES AND BASIC THEOREMS

A. Proving corresponding parts equal
B. Theorems on isosceles triangles

III. PARALLELS AND PARALLELOGRAMS

A. Indirect proofs
B. Angle sums (triangles and polygons)
C. Parallelograms
D. Rectangles/rhombus/trapezoid

IV. AREAS

A. Polygon areas
B. Circle areas
C. Pythagorean theorem
D. Surface area and volume

V. RATIO, PROPORTION, AND SIMILARITY

VI. CIRCLES

A. Arcs
B. Chords and secants
C. Tangents

VII. LOCI

A. Basic locus theorems
B. Concurrence theorems

VIII. REGULAR POLYGONS

A. Circumscribed circles
B. Inscribed circles

*IX. LOGIC

A. Validity
B. Converses
C. Contrapositives

*X. INTRODUCTION TO ANALYTIC GEOMETRY

A. Cartesian coordinate system
B. Straight line