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A linear pair is formed when two adjacent angles have their non-common side in opposite rays. Their measures will always add up to 180 degrees. Vertival angles are formed by two intersecting lines. Two pairs are formed; they are across from each other (not adjacent), and are congruent.
Recall that in order for lines or angles to be congruent, they had to have equal measures. In that same way, congruent triangles are triangles with corresponding sides and angles that are congruent, giving them the same size and shape. Because side and angle correspondence is important, we have to be careful with the way we name triangles.