1. Logic Scheme of Main Results in Euclidean Geometry (part I)
Supplements.
Opposite angles.
Basic definitions
Equal alternate angles, corresponding angles, formed by parallel lines
Sum of angles in a triangle is 180 deg.
Euclid’s fifth postulate
and
Midline properties
Parallelogram properties.
Rectangle Properties.
Rhombus properties.
Properties of medians
Centroid
Isosceles triangles
Properties of angle bisectors
Incentre
SSS
SAS, ASA
Congruent triangles
Properties of segment bisectors
Circumcentre
RHS
Pythagora’s theorem
Properties of altitudes
Orthocentre
Properties of circles:
angles, secants, tangents