Logic Scheme of Main Results in Euclidean Geometry (part I)

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Presentation transcript:

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