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The points of a line can be put into _____ ___ _____ ___________________ with the _______ _____________ so that the _________ between any two points is.

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Presentation on theme: "The points of a line can be put into _____ ___ _____ ___________________ with the _______ _____________ so that the _________ between any two points is."— Presentation transcript:

1 The points of a line can be put into _____ ___ _____ ___________________ with the _______ _____________ so that the _________ between any two points is the _____________________ of the difference of the corresponding numbers (___________________).

2 Assign a coordinate to each point. Lets set G=0. Then remember that AB= I a-b I where a and b are the numbers associated with the point’s location on the number line, or RULER. Examples: AF = CD= BG= CF= DF=

3 If three points: A,B, and C are COLLINEAR and B is _____________ A and C, then AB+ BC= AC.

4 So… EUCLID! Now all the parts of a segment sum to the total length of the segment LEGALLY. We’ve got a postulate to lean on!

5 The Protractor Postulate

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8 Angle Addition Postulate If point B lies in the _________________ of ∡ AOC, then m∡AOB + m∡BOC = m∡AOC This means that if an angle is divided into two or more angles, then the sum of the measures of the smaller angles adds up to the measure of the large angle!

9 1.If m ∡1 = 42, and m∡ABC = 88, then what is m∡2? 2.If m∡AOC = 7x-2, m∡AOB = 2x+8, and m∡BOC= 3x +14


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