Geometry Postulates & Theorems
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- 1. Ruler Postulate
- The distance is the absolute between the coordinates
- 2. Segment Addition
- 2. ab+bc=ac
- 3. Protractor Postulate
- 3. AOB+BOC=AOC
- 4. Angle Addition Postulate
- 4. if B isn’t on AC, then AOB+BOC=180
- 5. A line a space, a plane, contains
- 5. line-2 points, plane-3 points, space-4 points not all in one plane
- 6. Through any 2 points
- 6. There is exactly one line
- 7. Through any 3 points, through any 3 noncolinear⬦
- 7. There is at least one plane, there is exactly one plane
- 8. If two points are in a plane
- 8. Then the line that contains those points is in that plane
- 9. Two planes intersect into
- 9. One line
- 10. Two parallel lines are cut by a transversal⬦
- 10. Then the corresponding angles are congruent
- 11. Two parallel lines are cut by a transversal, they make corresponding angles so⬦
- 11. And the lines are parallel
- 12. SSS
- 12. if all three sides of two triangles are congruent, then they are congruent
- 13. SAS
- 13. it two sides and the included angle of one triangle are congruent to another triangle than they are congruent
- 14. ASA
- 14. if two angles and the included side of some triangles are congruent, then they are congruent
- 15. AA
- 15. if two angles of a triangle are congruent to 2 angles of another, then they are congruent.
- 16. Arc Addition postulate
- 16. you get it
- 17. Area of a square
- 17. the area of a square is a side squared
- 18. Area Congruence
- 18. if two figures are congruent they have the same area