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Reference Tables for Geometry

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List of Reasons for Geometric Proofs

  1. A median divides a line segment into two congruent line segments.
  2. A midpoint divides a line segment into two congruent line segments.
  3. A segment bisector divides a line segment into two congruent line segments.
  4. A perpendicular bisector divides a line segment into two congruent line segments.
  5. A perpendicular bisector creates congruent right angles.
  6. An altitude creates congruent right angles.
  7. An angle bisector divides an angle into two congruent angles.
  8. Two intersecting lines form congruent vertical angles.
  9. Two parallel lines cut by a transversal create congruent alternate interior angles.
  10. Two parallel lines cut by a transversal create congruent alternate exterior angles.
  11. Two parallel lines cut by a transversal create congruent corresponding angles.
  12. Isosceles triangles have two congruent sides.
  13. Isosceles triangles have two congruent base angles.
  14. All right angles are congruent.
  15. Perpendicular lines form congruent right angles.
  16. SAS SAS
  17. SSS SSS
  18. AAS AAS
  19. HL HL
  20. ASA ASA
  21. AA AA
  22. Opposite sides of a parallelogram are congruent
  23. Opposite angles of a parallelogram are congruent
  24. Opposite sides of a parallelogram are parallel.
  25. CPCTC
  26. Reflexive Property
  27. Substitution Postulate
  28. Subtraction Postulate
  29. Addition Postulate
  30. Right triangles contain only one right angle.
  31. Corresponding parts of similar triangles are in proportion.
  32. The product of the means is equal to the product of the extremes.

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