Congruency is a mathematical term that means two or more objects have the same shape and size or if one is the mirror image of the other. In this article, we will understand the basic geometric concept of congruency, how they are related, their types, some practical applications of congruency, and solve some problems in trigonometry. Two objects are congruent if they have the same dimensions and shape. Very loosely, you can think of it as meaning 'equal', but it has a very precise meaning that you should understand completely, especially for complex shapes such as polygons. Congruent line segments Two line segments are congruent if they have the same length. Illustrated definition of Congruent: The same shape and size (but we are allowed to flip, slide or turn). In this example the shapes are congruent,... Congruent means corresponding, agreeing, or matching exactly. In mathematics, it refers to geometric figures or numbers that have the same shape or size when superimposed or divided.