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Geometry Notes Section 1-2

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**What you’ll learn How to define postulate**

How to identify and model line segments How to apply the Segment Addition Postulate How to compute with measures How to identify congruent segments

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**Vocabulary Terms: Postulate Line segment Betweeness of points Between**

Segment Addition Postulate Unit Conversion Congruent Segments

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**Postulates Geometry is based on accepted rules and proven theories.**

Postulate is the term used for rules that are assumed to be true (postulates do not have to be proven).

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**Line Segment—a section of a line from one endpoint to another endpoint**

Draw it with 2 dots (one at each end) and a straight line between them P Q Name it by the endpts (with above) Fact: Segments are measureable. They have a beginning and end. The measure of a segment is written by naming the endpts with capital printed letters (PQ means the measure of PQ) Words/Symbols: PQ

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**Segments are measured with a ruler, yardstick or tape measure **

Segments have measure Segments are measured with a ruler, yardstick or tape measure Units of measure include Inches Feet Yards Centimeters Meters

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**Unit Conversion Standard**

Students will be able to convert units of measurement within and between systems Within the same system Like inches to feet Between systems Like inches to centimeters

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Betweeness There are infinitely many points between the endpoints of a line segment G O For Example Given DG D Would it be fair to say O is between D and G? What relationships do you see between the points? Do the points have to be collinear? Is there some connection between the measures DO, OG and DG?

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**Betweeness and the Segment Addition Postulate**

O is between D and G if and only if D, O , and G are collinear DO + OG = DG

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**Congruent Segments Congruent figures have the same size and shape**

Since all segments have the same shape we only need to verify that two segments have the same measure to be congruent Definition of Congruent Segments: Two segments are congruent if and only if they have the same measure. Using symbols: AB CD iff AB = CD A B C D

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**Have you learned. . . How to define postulate?**

How to identify and model line segments? How to apply the Segment Addition Postulate? How to compute with measures? How to identify congruent segments? Your assignment is Worksheet 1.2

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