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Proving Segment Relationships

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.

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Proving Segment Relationships

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  1. Proving Segment Relationships Section 2-7

  2. 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.

  3. 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

  4. Theorem 2.2 • Congruence of segments is reflexive, symmetric, and transitive.

  5. 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

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