Understanding Congruent Figures in Geometry | Explained and Illustrated

Congruent

Congruent is a term used in geometry to describe two or more figures that have the same shape and size

Congruent is a term used in geometry to describe two or more figures that have the same shape and size. When two figures are congruent, it means that all corresponding sides are equal in length and all corresponding angles are equal in measure.

To determine if two figures are congruent, we need to examine their corresponding sides and angles. For example, if we have two triangles, we can check if all three pairs of corresponding sides are equal, and if all three pairs of corresponding angles are equal. If this is the case, then the triangles are congruent.

Congruent figures can be moved, rotated, or flipped without changing their shape or size. This means that if we have two congruent figures, we can superimpose one on top of the other and they will match perfectly.

Congruence can be denoted using various symbols, such as ≅ (congruent symbol), ≡ (identical symbol), or by stating that the figures are congruent in words. For example, we can say “Triangle ABC is congruent to triangle DEF” or write it as ΔABC ≅ ΔDEF.

Congruent figures play a crucial role in geometry and can be used to prove various geometric theorems and facts. The concept of congruence is fundamental in understanding the properties and relationships between different geometric figures.

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