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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.
The reflexive property of congruence is used to prove congruence of geometric figures. This property is used when a figure is congruent to itself. Angles, line segments, and geometric figures can be congruent to themselves. Congruence is when figures have the same shape and size.