Congruent polygonal refers to polygons that have the same shape and size. In other words, if you were to superimpose one polygon on top of another, they would completely overlap each other. This means that all corresponding sides of the polygons are equal in length and all corresponding angles are equal in measure.
For example, if you have two triangles and they are congruent, it means that their corresponding sides and angles are equal. The notation used to show that two polygons are congruent is the symbol ≅, so if two triangles, for instance, are congruent, you would write it as triangle ABC ≅ triangle DEF.
It's important to note that the order of vertices matters when identifying congruent polygons. That means that if you have two triangles with the same side lengths and angles, but the vertices are in a different order, they are not considered congruent.
Understanding congruent polygons is important in geometry because it allows us to make comparisons and draw conclusions about different shapes and figures. It also helps in solving problems related to finding unknown side lengths and angles of polygons.
Overall, congruent polygonal is an important concept in geometry that helps us understand the similarity and equality of shapes and figures.
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