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Verifying Segment Relationships
2-5 Verifying Segment Relationships Objectives: To complete proofs using segment theorems.
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Vocabulary
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Theorem 2-1 Congruence of segments is reflexive, symmetric, and transitive.
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Example 1
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Example 2 Given Segment Addition Postulate Segment Addition Postulate
Substitution (=)
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Example 3 Statements Reasons 1. Given 2. AB = XY, BC = YZ
2. Def.of congruent segments 3. AB + BC = XY + YZ 3. Addition Property (=) 4. AB + BC = AC XY + YZ = XZ 4. Segment Addition Post. 5. AC = XZ 5. Substitution Property (=) 6. Def. of congruent segments
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Homework 2-5 Worksheet
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