Geometry Posts, Definitions, Theorems (2-5 to 3-3)

  1. If two lines are perpendicular,
    then they form congruent, adjacent angles
  2. If two lines form congruent, adjacent angles,
    then the lines are perpendicular
  3. If the exterior of two acute, adjacent angles are perpendicular,
    then the angles are complementary
  4. If two angles are supplements of congruent angles (or of the same angle),
    then the two angles are congruent
  5. If two angles are complements of congruent angles (or of the same angle),
    then the two angles are congruent
  6. Parallel Lines
    coplanar lines that do not intersect
  7. Skew Lines
    noncoplanar lines that are neither intersecting nor parallel
  8. Parallel Planes
    planes that do not intersect
  9. A line and a plane are parallel...
    if they do not intersect
  10. If two parallel planes are cut by a third plane,
    then the lines of intersection are parallel
  11. Transversal
    a line that intersects two or more coplanar lines in different points
  12. Alternate-Interior Angles
    two non-adjacent interior angles on opposite sides of the transversal (always congruent)
  13. Same-Side Interior Angles
    two interior angles on opposite sides of the transversal (always supplementary)
  14. Corresponding Angles
    two angles in corresponding positions relative to the two lines (always congruent)
  15. If two parallel lines are cut by a transversal,
    then corresponding angles are congruent
  16. If two parallel lines are cut by a transversal,
    then alternate-interior angles are congruent
  17. If two parallel lines are cut by a transversal,
    then same side interior angles are supplementary
  18. If a transversal is perpendicular to one of two parallel lines,
    then it is perpendicular to the other one also
  19. If two lines are cut by a transversal and alternate interior angles are congruent,
    then the lines are parallel
  20. If two lines are cut by a transversal and same-side interior angles are supplementary,
    then the lines are parallel
  21. In a plane, two lines perpendicular to the same line...
    are parallel
  22. Through a point outside a line
    there is exactly one line parallel to the given line
  23. Through a point outside a line,
    there is exactly one line perpendicular to the given line
  24. Two lines parallel to a third line
    are parallel to each other
Author
Anonymous
ID
241773
Card Set
Geometry Posts, Definitions, Theorems (2-5 to 3-3)
Description
Postulates, Definitions, and Theorems for 2-5 to 3-3
Updated