Which is NOT one of the four congruence proofs for triangles?

The reason D is the correct choice is that it does not represent a recognized method for proving triangle congruence. The congruence proofs that are widely accepted and taught in geometry are SSS, AAS, and RHS.

SSS stands for Side-Side-Side, which states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

AAS refers to Angle-Angle-Side, which means if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

RHS, or Right angle-Hypotenuse-Side, applies specifically to right triangles. It states that if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle, then the triangles are congruent.

In contrast, D, Dihedron-Side-Distance, is not a valid proof for triangle congruence and is not recognized in standard geometry, making it the option that does not belong among the other three.