Triangle Congruence Statement Definition. This means that the corresponding sides are equal and the corresponding angles are equal. The equal sides and angles may not be in the same position if there is a turn or a flip but they are there.
We can tell whether two triangles are congruent without testing all the sides and all the angles of the two triangles. For example a congruence between two triangles abc and def means that the three sides and the three angles of both triangles are congruent. When two triangles are congruent they will have exactly the same three sides and exactly the same three angles.
If in triangles abc and def ab de ac df and angle a angle d then triangle abc is congruent to triangle def.
Congruent triangles are triangles that have the same size and shape. The equal sides and angles may not be in the same position if there is a turn or a flip but they are there. Although congruence statements are often used to compare triangles they are also used for lines circles and other polygons. If two sides in one triangle are congruent to two sides of a second triangle and also if the included angles are congruent then the triangles are congruent.