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Geometry Chapter 1 Postulates and Theorems

AB
Postulate 1-1 (p. 12) 2pointsThrough any two points there is exactly one line.
Postulate 1-2 (p. 12) 2 linesIf two lines intersect, then they intersect in exactly one point
Postulate 1-3 (p. 12) 2 planesIf two planes intersect, then they intersect in exactly one line.
Postulate 1-4 (p. 13) 3 pointsThrough any three noncollinear points there is exactly one plane.
Postulate 1-5 Ruler Postulate (p. 25)The distance between any two points is the absolute value of the difference of the corresponding numbers.
Postulate 1-6 Segment Addition Postulate (p. 26)If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC.
Postulate 1-7 Protractor Postulate (p. 28)Let ray OA and ray OB be opposite rays in a plane. Ray OA, ray OB, and all the rays with endpoint O that can be drawn on one side of line AB can be paired with the real numbers from 0 to 180 so that
Postulate 1-8 Angle Addition Postulate (p. 28)If point B is in the interior of ﮮAOC, then mﮮAOB + mﮮBOC = mﮮAOC.
The Distance Formula (p. 43)d = √ (x2 - x1)2 + (y2 - y1)2
The Midpoint Formula (p. 45)The coordinates of the midpoint M of AB with endpoints A(x1, y1) and B(x2, y2). M ((x1+ x2)/2 , (y1 + y2)/2)
The Distance Formula (Three Dimensions) (p. 48)d = √ (x2 - x1)2 + (y2 - y1)2 + (z2 - z1)2
Postulate 1-9 congruent figures (p. 54)If two figures are congruent, then their areas are equal.
Postulate 1-10 Area (p. 54)The area of a region is the sum of the areas of its

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