Proving Segment Relationships

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Proving Segment Relationships

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Presentation transcript:

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. R P Q

Congruence of segments is reflexive, symmetric, and transitive. 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 hypotenuse. c a b