Chapter 1 : Essentials of Geometry

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Presentation transcript:

Chapter 1 : Essentials of Geometry 1.2 Use Segments and Congruence

Postulates or axiom Postulates or axioms are rules of geometry that we accept as true without any proof.

Ruler Postulate Each point on a number line have a unique value The distance between two points A and B (AB) is equal to |A-B|

Segment Addition Postulate If Y is between X and Z, then XY + YZ = XZ

Equality (=) vs. Congruence() Objects such as a segment or an angle have a specific measurement associated with it. These measurements have numeric values which can be added, subtracted, multiplied, or divided. The objects themselves CAN NOT be added, subtracted, multiplied, or divided. However they can be COMPARED to one another. Objects can be similar (same shape and proportional size) or congruent (same shape and same size).

Congruent Segments Congruent Segments have the exact same shape (both are segments) and exact same size (length). Segments are congruent, lengths are equal.