Equal triangles
author: Петя
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Българска версия: 
§Two triangles which have respectively equal sides and respectively equal angles are equal triangles.
A basic property of equal triangles (an axiom for drawing a triangle in a half-plane):
If АВС is a triangle , Оp - a ray, а - a half-plane with a contour a line that contains the ray,t hen there is only one point Р from the ray Оp and one point Q in the half-plane а and this point Q is specific because we have to draw it that the triangle АВС is equal to triangle OPQ.
§First sign for equality of triangles:
If two sides and an angle which is between the given sides are respectively equal to two sides and angle between them, then the triangles are equal.a
§Second sign for equal on triangles:
If a side and two adjacent to it in one triangle are respectively equal on a side and two adjacent to it in other triangle, then the triangles are equal.
§Third sign for equal on triangles:
If all the sides of one triangle are respectively equal to the sides of another triangle,t hen the triangles are equal.
§In two equal triangles heights, medians, angle bisectors trough respectively vertexes are called respectively heights, medians and angle bisectors.
§If two lines are parallel, then points lying in one of them are on equal distances from the other line.