congruent
In mathematics, congruent is a term used to describe two figures or objects that have the same shape and size
In mathematics, congruent is a term used to describe two figures or objects that have the same shape and size. It means that when you compare these figures, they are identical in all aspects, including angles and side lengths. It is denoted by the symbol ≅.
For example, if we have two triangles ABC and DEF, we say that triangle ABC is congruent to triangle DEF if and only if all corresponding angles are equal (angle A ≅ angle D, angle B ≅ angle E, and angle C ≅ angle F) and all corresponding side lengths are equal (side AB ≅ side DE, side BC ≅ side EF, and side AC ≅ side DF).
Congruence is an important concept in geometry as it allows us to identify and work with geometric figures that have the same properties. It enables us to prove geometric theorems, establish relationships between shapes, and solve various geometric problems.
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