Proving Segment Relationships

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Presentation transcript:

Proving Segment Relationships Chapter 2 Section 7

Remember…properties of segment congruence Reflexive Property AB ≅ AB Symmetric Property If AB ≅ CD, then CD ≅ AB Transitive Property If AB ≅ CD and CD ≅ EF, then AB ≅ EF

Postulate 2.9 Segment Addition Postulate If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC

Using Segment Addition in Proofs Segement Addition Substitution Distributive Combine like terms Subtraction division

Proving Segments Given Def. of midpoint Substitution Subtraction Division

Proving Segments In the figure, KM = 35. Solve for x. Justify each step. 1. Segment Addition 2. Substitution 3. combine like terms 4. Addition 5. Division 1. KL + LM = KM 2. 2x - 5 + 2x = 35 3. 4x - 5 = 35 4. 4x = 40 5. x = 10

Have a great day! 