congruent
In mathematics, the term “congruent” refers to objects or shapes that have the same size and shape
In mathematics, the term “congruent” refers to objects or shapes that have the same size and shape. When two shapes or objects are congruent, it means that they are identical in every aspect, including length, angles, and side measures.
To determine if two shapes or objects are congruent, we typically compare their corresponding parts. For example, in triangles, if the corresponding sides of two triangles have the same lengths and their corresponding angles have the same measures, then the triangles are congruent.
There are several ways to denote congruence, with the most common being the congruence symbol, which is an equal sign with a tilde on top: ≅. For example, if triangle ABC is congruent to triangle DEF, we write it as ΔABC ≅ ΔDEF.
Congruence is not limited to just two-dimensional shapes; it can also apply to three-dimensional objects. In this case, we compare not only the lengths, angles, and side measures but also other properties such as surface area and volume.
In summary, congruence is a concept used in mathematics to describe objects or shapes that have the same size and shape. We determine congruence by comparing corresponding parts and denote it using the ≅ symbol.
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