| A | B |
| Postulate 1-1 (p. 12) 2points | Through any two points there is exactly one line. |
| Postulate 1-2 (p. 12) 2 lines | If two lines intersect, then they intersect in exactly one point |
| Postulate 1-3 (p. 12) 2 planes | If two planes intersect, then they intersect in exactly one line. |
| Postulate 1-4 (p. 13) 3 points | Through 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 |