Congruent Shapes In Geometry: Definition, Properties, And Applications

Congruent

Have the same angles

Congruent describes objects or figures that have the same shape and size. Two objects are said to be congruent if they have the same length, angles, and geometric qualities. Congruent objects can be moved, rotated or reflected while still maintaining their original shape and size. It is denoted by the symbol ≅. For example, two triangles are said to be congruent if all the corresponding sides and angles of the triangles are identical. Congruent objects have unique properties such as equal area and congruent corresponding parts. In addition to triangles, other shapes such as squares, rectangles, and circles can also be congruent. Congruent shapes have important applications in many fields including construction, engineering, and design.

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