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Transitive and Substitution Property

Lesson 2.7. Transitive and Substitution Property. Suppose  A   B and  A   C. Is B  C?. Theorem 16:. If angles (or segments) are congruent to congruent angles (or segments), they are congruent to each other. (Transitive Property).

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Transitive and Substitution Property

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  1. Lesson 2.7 Transitive and Substitution Property

  2. Suppose A B and A C. Is B  C?

  3. Theorem 16: • If angles (or segments) are congruent to congruent angles (or segments), they are congruent to each other. (Transitive Property) • If angles (or segments) are congruent to the same angle (or segment), they are congruent to each other. (Transitive Property) Theorem 17:

  4. FG  KJ • GH  KJ • FG  GH • KG bisects FH • Given • Given • If segments are  to the same segment, they are . (Transitive Property) • If a line divides a segment into two  segments, it bisects the segments.

  5. If A B, find m A. 2x – 4 = x + 10 x = 14 We can now substitute 14 in for x in mA = x + 10 to find mA = 14 + 10 = 24. This is the Substitution Property. It can be applied when you have variables or not.

  6. 1. 1 + 2 = 90° 2. 1  3 3. 3 + 2 = 90° • Given • Given • Substitution (step 2 into step 1)

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