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12 Cards in this Set

  • Front
  • Back

through any 2 points there is exactly one line

postulate

through any 3 non collinear points there is exactly one plane containing them

postulate

if 2 points lie in a plane, then the line containing the points lie in the plane

postulate

if 2 lines intersect, then they intersect in exactly one point

postulate

if 2 planes intersect, then they intersect in exactly one line

postulate

if 2 angles form a linear pair, then they are supplementary

linear pair theorem

if 2 angles are supplementary to the same angle (or to 2 congruent angles), then the 2 angles are congruent

congruent supplements theorem

all right angles are congruent

right angle theorem

if 2 angles are complementary to the same angle (or to 2 congruent angles), then the 2 angles are congruent

congruent complements theorem

given collinear points A, B, C, and D arranged as shown, if seg. AB is congruent to seg. CD, then seg. AC is congruent to seg. BD.

common segment theorem

vertical angles are congruent

vertical angles theorem

if 2 congruent angles are supplementary, then each angle is a right angle

theorem