Congruent Segments In Geometry: Definition, Properties, And Applications

Congruent Segments

If two segments the have the same length

Congruent segments are line segments or parts of line segments that have the same length. In other words, they are identical in size and shape.

There are several ways to show that two line segments are congruent. One way is to simply measure the lengths of the segments and compare them. If the lengths are equal, then the segments are congruent.

Another way to show that two line segments are congruent is to use common endpoints. If two line segments have the same endpoint and the same length, then they are congruent. This is called the segment addition postulate.

Congruent segments are denoted using the symbol “≅” which means “congruent to”. For example, if segment AB and segment CD are congruent, we can write it as AB ≅ CD.

Congruent segments have many applications in geometry, including in proofs and in the construction of various shapes and figures. For example, in constructing an equilateral triangle, all three sides must be congruent to each other. In congruence proofs, congruent segments are often used to show that two triangles are congruent.

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