Download Geometry Chapter 2 Definitions/Postulates and Theorems

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Transcript
Geometry Chapter 2 Definitions/Postulates and Theorems
Acute angle
Adjacent angles
Angle bisector
Area
Biconditional statement
Collinear
Complementary angles
Concave
Conclusion
Conditional statement
Congruent
Congruent angles
Congruent segments
Conjecture
Contrapositive
Converse
Convex
Coplanar
Counterexample
Deductive reasoning
Equiangular
Equilateral
Equivalent statements
Hypothesis
If – Then form
Inductive reasoning
Inverse
Linear Pair
Line
Line Segment
Midpoint
Negation
Obtuse angle
Perimeter
Perpendicular Lines
Plane
Polygon
Regular
Right angle
Segment bisector
Straight angle
Supplementary angles
Symmetric Property
Vertex
Vertical angles
Addition Property
Subtraction Property
Division Property
Multiplication Property
Distributive Property
Substitution Property
Combine Like Terms
Segment Addition Postulate: If B is between A and C, then AB + BC = AC. (p. 10)
Angle Addition Postulate: If P is in the interior of  RST,
then m  RST = m  RSP + m  PST. (p. 25)
Linear Pair Postulate: If two angles form a linear pair, then they are supplementary. (p. 126)
Reflexive:
For any segment AB, AB = AB.
For any angle  A =  A.
Transitive: If AB = CD and CD =EF, then AB =EF. (p. 113)
If  A =  B and  B =  C, then  A =  C. (p. 113)
Right Angles Congruence Theorem: All right angles are congruent. (p. 124)
Congruent Supplements Theorem: If two angles are supplementary to the same angle (or to
congruent angles), then the two angles are congruent. (p. 125)
Congruent Complements Theorem: If two angles are complementary to the same angle (or to
congruent angles), then the two angles are congruent. (p. 125)
Vertical Angles Congruence Theorem: Vertical angles are congruent. (p. 126)