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2.5 Addition and Subtraction

2.5 Addition and Subtraction. Theorem 8: If a segment is added to two congruent segments, then the sums are congruent. Theorem 9: If an angle is added to two congruent angles, then the sums are congruent.

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2.5 Addition and Subtraction

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  1. 2.5 Addition and Subtraction

  2. Theorem 8: If a segment is added to two congruent segments, then the sums are congruent.

  3. Theorem 9: If an angle is added to two congruent angles, then the sums are congruent. Theorem 10: If congruent segments are added to congruent segments, then the sums are congruent. Theorem 11: If congruent angles are added to congruent angles, then the sums are congruent.

  4. Given: Prove: • Statements Reasons 1. 1. Given • 2. 2. Reflexive • 3. 3.( – ) Prop of segs

  5. Theorem 12: If a segment (or angle) is subtracted from congruent segments ( or angles) , then the differences are congruent. Theorem 13: If a segment (or angle) is subtracted from the same segment ( or angle) , then the differences are congruent.

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