## Definition of a Congruent

### In mathematics, the term “congruent” refers to the relationship between two or more geometric figures that have exactly the same shape and size

In mathematics, the term “congruent” refers to the relationship between two or more geometric figures that have exactly the same shape and size. When two figures are congruent, it implies that all corresponding sides and angles of the figures are equal.

To formally prove that two figures are congruent, we typically use congruence postulates or theorems. These statements provide certain conditions and criteria that establish congruence between figures.

Congruence can be applied to various geometric objects, such as triangles, quadrilaterals, circles, and more. For example, if two triangles have the same lengths for their corresponding sides and the same measures for their corresponding angles, then they are congruent triangles.

The notation widely used to represent congruence is the symbol ≅, which is similar to the equal sign but with a tilde above it. For instance, if we have two congruent triangles, we can write it as triangle ABC ≅ triangle DEF.

It is important to note that congruence is different from similarity. Similar figures have the same shape but different sizes, while congruent figures have both the same shape and size.

Understanding congruence is crucial in geometry as it allows us to establish relationships between different geometric objects and make accurate measurements and comparisons.

##### More Answers:

Understanding the Angle Addition Postulate | Exploring the Relationship Between Adjacent Angles and Their MeasuresUnderstanding Bisectors in Geometry | Exploring Line Segment and Angle Bisectors

Understanding the Segment Addition Postulate in Geometry | How to Combine and Measure Line Segments