Properties and Characteristics of Congruent Figures
Two figures which overlap on each other with identical shape and dimension are known as congruent figures. However, Properties and characteristics of congruent figures are different depending upon the figure i.e if the figure is a line segment, an angle, circle or any other polygonal shape.
For instance, in triangles, there are various congruency rules to check if the two triangles are congruent to each other or not.
Some of the properties of congruent figures are explained below:
Congruent Angles and Sides
Two angles are said to be congruent if measure of both figures are exactly equal. Similarly, with sides the length of each side should be equal, in order to be congruent.
Figures like triangle, square and other polygons use this congruency rule to prove congruency between two figures.
Corresponding Parts of Congruent Figures
Corresponding parts of congruent figures refers to the equal sides and angles of two figure, where we can overlap or superimpose one figure on the other.
For example if two triangles ABC and CDA are congruent, it would mean sides AB = CD and BC = DA. Corresponding angles are also equal in congruent figures, which means that angle A,B and C are equal to C, D, and A respectively. Hence, if ABC ≅ CDA, then it means sides and angles are equal accordingly.
Other than angles and sides, other corresponding parts can also be equal in congruent figures. For example, any diagonal in square or in parallelogram will also be equal.
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