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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.
Congruent segments are simply line segments that are equal in length. Congruent means equal. Congruent line segments are usually indicated by drawing the same amount of little tic lines in the middle of the segments, perpendicular to the segments.