Descubramos la relación entre la congruencia de dos figuras y la correspondencia de sus lados y de sus ángulos.
Required Preparation
None
Las partes correspondientes son las partes que están en las mismas posiciones relativas de una figura original y su copia a escala. Las partes pueden ser puntos, segmentos, ángulos o distancias. Cuando dos figuras son congruentes, todas sus partes correspondientes son congruentes.
Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.