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Proving Segment Relationships Section 2-7 Ruler Postulate The points on any line can be paired with real numbers so that, given any 2 points A and B on the line, A corresponds to zero, and B corresponds to a positive number. Segment Addition Postulate If Q is between P and R, then PQ + QR = PR. If PQ + QR = PR, then Q is between P and R. P Q R Theorem 2.2 Congruence of segments is reflexive, symmetric, and transitive. Pythagorean Theorem In a right triangle, the sum of the squares of the measures of the legs equals the square of the measure of the c hypotenuse. a a2 b2 c2 a b c 2 2 2 b