congruent segments
segments that have the same length
Congruent segments are line segments that are equal in length. Two line segments AB and CD are said to be congruent if they have the same length, that is, AB = CD. The concept of congruent segments is an important one in geometry, as it allows us to identify pairs of line segments that have the same length and to use this information to make deductions about shapes and their properties.
Congruent segments are denoted by placing two ticks on top of the line segments that are equal in length. For example, if line segments AB and CD are congruent, we can write AB ≅ CD. Note that the symbol ≅ is used to denote congruence.
Congruent segments play a key role in many geometric constructions, such as constructing perpendicular bisectors, angle bisectors, and parallel lines. Knowing that two line segments are congruent can also help us identify other geometric properties, such as congruent angles, the symmetry of shapes, and the congruence of triangles and other polygons.
In summary, congruent segments are two line segments that are equal in length. They play a crucial role in geometry, and their properties are used to make deductions about shapes and their properties.
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