Congruent plane figures, superimposition proofs of congruence,
plane isometries (superimposing the plane onto itself), symmetries

Congruent segments and angles; addition/subtraction of segments and angles; 
supplementary angles, vertical angles

broken lines, polygons, triangles

axiom: there is a unique line thru any two distinct points; corollaries

existence and uniqueness of a perpendicular to a given line thru a given point

isosceles triangle, properties

congruence tests for triangles

exterior angles; inequalities between angles and sides in a triangles 
(the greater side is opposite the greater angle, etc)

the triangle inequality, its generalization to broken lines; applications using additional constrcutions such as symmetries

right triangles; theorems on lengths of perpendicular and slants 

notion of geometric locus, proving direct and converse theorems to 
find geometric loci; examples: perpendicular segment bisector, angle bisector, circle.

tests for parallel lines (corresponding angles etc)

the parallel postulate, corollaries 

sum of angles in a triangle, in convex polygons

parallelograms, rectangles, rhombi, trapezoids, their properties
and testing for them

constructions with circle and straightedge, using all the geometry from above (remember that constructions always require proofs!)