Congruent
In mathematics, when we say that two figures or shapes are congruent, it means that they are identical in shape and size
In mathematics, when we say that two figures or shapes are congruent, it means that they are identical in shape and size. In other words, if we were to place one figure on top of the other, they would completely overlap each other. Congruent figures have the same measures for all corresponding sides and angles.
To determine if two figures are congruent, we need to compare their corresponding sides and angles. For example, if we have two triangles and all three pairs of corresponding sides are equal in length, and all three pairs of corresponding angles are equal in measure, then we can conclude that the two triangles are congruent.
Congruent figures can be transformed, or moved, using rigid transformations such as translations, rotations, and reflections, without changing their size or shape. This property is important in geometry and plays a significant role in proving geometric theorems and solving problems related to congruent figures.
Congruent figures are denoted using the symbol ≅ (congruent sign). For example, if we have two triangles ABC and DEF and they are congruent, we can write it as ΔABC ≅ ΔDEF. The order of the vertices is important when indicating congruence.
Overall, congruence allows us to establish relationships between geometric figures and make precise comparisons based on their size and shape.
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