## opposite sides

### In mathematics, opposite sides refer to pairs of sides in a geometric shape or figure that are directly across from each other and do not share a common vertex or point of connection

In mathematics, opposite sides refer to pairs of sides in a geometric shape or figure that are directly across from each other and do not share a common vertex or point of connection. This concept is commonly encountered in shapes such as polygons and parallelograms.

In a polygon, each side is connected to two other sides, and opposite sides are the pairs of sides that are furthest apart. For example, in a rectangle, the opposite sides would be the longer pair of sides that are parallel to each other. Similarly, in a triangle, the three sides do not possess opposite sides since there are no pairs of sides that do not share a common vertex.

In a parallelogram, opposite sides are pairs of sides that are parallel to each other. Parallelograms have two pairs of opposite sides, and each pair is the same length. For instance, in a rectangle, all four sides are equal in length, and the two longer sides are parallel to each other, as are the two shorter sides.

Understanding the concept of opposite sides is essential when working with geometric shapes since it helps determine congruence, symmetry, and the calculation of various properties.

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