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Theorems and Postulates for Geometry

Theorems and Postulates for Geometry. Unit 6. Reflexive Property. This is one of the two properties that are the most common that you will see. The Reflexive property just states that something is congruent to itself. AD ≡ AD. A B. C D. Vertical Angles .

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Theorems and Postulates for Geometry

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  1. Theorems and Postulates for Geometry Unit 6

  2. Reflexive Property • This is one of the two properties that are the most common that you will see. The Reflexive property just states that something is congruent to itself. • AD ≡ AD A B C D

  3. Vertical Angles • This is the second of the two. Vertical angles are congruent. • / 1 ≡ / 2 1 2

  4. Linear Pairs • If two angles are linear pairs then they are supplementary (add up to 180).

  5. Triangle Sum • The sum of all three angles in a triangle add up to 180 degrees.

  6. Midpoint • A midpoint is the middle of a segment. If B is the midpoint of AC then AB ≡ BC.

  7. Bisector • A bisector bisects something. If something is bisected it is cut up into two equal parts.

  8. Parallel lines • The following things will be based off of this drawing copy it down in your notes. 1 2 4 3 5 6 7 8

  9. Corresponding Angles • If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

  10. Alternate Interior Angles • If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

  11. Alternate Exterior Angles • If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent.

  12. Interiors on the same side • If two parallel lines are cut by a transversal, then the interior angles on the same side of the transversals are supplementary.

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