Type of Congruency
Congruency can be of different types depending upon its geometrical shape. Congruency can be defined in line segments with same length, angles with same measure, triangles where sides and angles are equal, circles with same diameter or radius, etc. Depending upon the identification of Congruency, it is divided into three major types.
- Reflectional Congruence
- Rotational Congruence
- Translational Congruence
Reflectional Congruence
Reflectional congruence to a congruency where two figures remain same after flipping through a line of reflection. This congruency involves a reflection, which is a type of transformation where a figure is flipped over a line. Here the two figures are identical after getting reflected across a line of reflection which acts like a line of symmetry.
Two figures that are reflectionally congruent can be overlapped on each other after aligning corresponding vertexes. This property helps in identifying symmetry between two geometrical shapes.
Rotational Congruence
Rotational Congruence refers to the congruency where two shapes become same(congruent) when one is turned around a center point.
In simple terms, two figures are congruent rotationally if one of the figures can be transformed to other figure after a specific number of rotations around a center of rotation. Here, one figure is matched with the other figure by rotating it by a specific angle and direction to make them identical or congruent.
Translational Congruence
Translational congruence involves a translation, where a figure is moved from one location to another without changing its orientation or shape. Here two geometric shapes are congruent if they are translated to a specific direction, both the figures can be overlapped on each other by moving the figure parallel to the direction of the translation.
One important thing in translational congruency is that the orientation remains the same, only the figure is slides in a specific direction without rotating or flipping it.
Congruency
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.
Table of Content
- What is Congruency?
- Type of Congruency
- Properties and Characteristics of Congruent Figures
- Congruent and Similar Figure