Which property do similar triangles have?

Similar triangles are characterized by having equal corresponding angles and proportional corresponding sides. When two triangles are similar, this means that the angles in one triangle are congruent to the angles in the other triangle, leading to a consistent ratio between the lengths of their corresponding sides. This proportional relationship allows for the scaling of the triangles while maintaining their shape, which is a fundamental aspect of similarity in geometry.

On the other hand, claiming that similar triangles have equal area is inaccurate because the area of similar triangles can differ significantly depending on the ratio of their corresponding sides. The idea of equal perimeter is also not applicable to similar triangles, as they can have different perimeters while still being similar. Finally, asserting that similar triangles have equal height only overlooks the critical aspect of angle congruence and side proportionality that defines their similarity. Thus, the statement about equal angles and proportional sides accurately reflects their defining properties.