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Sec. 1.2: Use Segments and Congruence

Sec. 1.2: Use Segments and Congruence. Postulate/axiom: A postulate or axiom is a rule/fact that is accepted true without proof. Theorem: A theorem is a rule/fact only because it has been proven true. Meaning of Between. A point is between two others only if they are collinear.

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Sec. 1.2: Use Segments and Congruence

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  1. Sec. 1.2: Use Segments and Congruence Postulate/axiom: A postulate or axiom is a rule/fact that is accepted true without proof. Theorem: A theorem is a rule/fact only because it has been proven true.

  2. Meaning of Between A point is between two others only if they are collinear.

  3. Segment Addition Postulate If B is between A and C, then AB + BC = AC.

  4. Example 1

  5. Example 2 If S is between R and T, and RS = 2x + 10, ST = x – 4, and RT = 21, find RS.

  6. Congruent Segments Line segments that have the same length are said to be congruent segments.

  7. Definition of Congruent Segments If Then and If Then

  8. Example 3 If , AB = 2x – 5, and CD = 7x – 55, find AB.

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