To agree; to be equal; to correspond.

“Their interests didn't match, so it took a long time to agree what to do together.”

To agree with; to be equal to; to correspond to.

“His interests didn't match her interests.”

To make a successful match or pairing.

“They found out about his color-blindness when he couldn't match socks properly.”

The process by which things are matched together or paired up.

A set of independent edges in a given graph, i.e. a set of edges which do not intersect, such that pairs of vertices are "matched" to each other one to one.

The same as another; sharing the same design.

“We bought a new sofa and matching armchairs.”