Lesson 2 – 7 Proving Segment Relationships

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Presentation transcript:

Lesson 2 – 7 Proving Segment Relationships Geometry Lesson 2 – 7 Proving Segment Relationships Objective: Write proofs involving segment addition. Write proofs involving segment congruence.

Postulate Postulate 2.8 The points on any line or line segment can be put into one-to-one correspondence with real numbers.

Postulate Segment Addition Postulate If A, B, and C are collinear, then point B is between A and C if and only if AB + BC = AC

Given: Prove:

Complete the proof

Segment Properties of Congruence Reflexive Symmetric Transitive

The route for a charity fitness run is shown The route for a charity fitness run is shown. Checkpoint X and Z are the midpoints between the starting line and Checkpoint y and Checkpoint Y and the finish line F, respectively. If Checkpoint Y is the same distance from Checkpoint X and Z, prove that the route from Checkpoint Z to the finish line is congruent to the route from the starting line to the Checkpoint X.

Given: Prove: (Or substitution)

Homework Pg. 145 1, 2, 4, 30 – 36