Question

What is the difference between congruence and equality?

Answer 1

Congruence is a relationship of sizes and shapes, such as segments, triangles, and geometrical figures, while equality is a relationship of sizes, such as heights, widths, and lengths.

Explanation:

Congruence deals with objects, while equality deals with quantities.

Ex: You do not say that two shapes are equal or two numbers are congruent.

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Answer 2

See below.

Explanation:

In Geometry, an item is equal only to itself.

Congruence means the lengths of segments or measures of angles are equal. Congruence of polygons means the dimensions are equal.

Two different segments that have the same length are not equal to each other since they are different segments. Since their lengths are equal, the segments are congruent.