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Proving Segment Relationships

This section covers the proving of segment relationships using the ruler postulate and the segment addition postulate. It also introduces the concept of congruence of segments and explores the Pythagorean theorem in right triangles.

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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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