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# Howard Geometry 2

### Chapter 2 Geometry Vocabulary

Adjacent Angles Two angle that share a common vertex and common side, but no common interior points
Theorem A true statement that follows from other true statements
Hypothesis The "if" part of an if-then statement
Transitive Property If AB=BC and BC=DE, then AB=DE
Bisect To divide into two equal halves
Angle Bisector A ray that divides and angle into two equal angles
Complementary Angles Two angles whose sum is 90 degrees
Deductive Reasoning Uses facts, definitions, properties, and laws of logic to make a logical argument
Supplementary Angles Two angles whose sum is 180 degrees
Conclusion The "then" part of an if-then statement
Conditional Statement An If-Then statement
Linear Pair Two adjacent angles whose non-common side is the same line
Segment Bisector A segment, ray, line, or plane that intersects a segment at its midpoint
Symmetric Property If AB=DE, then DE=AB
Vertical Angles Two non-adjacent angles whose sides are formed by 2 intersecting lines
Vertex The point where two sides on an angle meet
Congruent Segments Segments with the same length
Reflexive Property AB=AB
Addition Property If x = 6, then x + 2 = 6 + 2
Subtraction Property If m = 5, then m - 3 = 5 - 3
Multiplication Property If n = 2, then 3 ∙ n = 3 ∙ 2
Division Property If 8 = t, then 8 ÷ 2 = t ÷ 2
Substitution Property If n = 3 and y = 4∙ n, then y = 4 ∙ 3
Linear Pair Postulate Linear pairs are supplementary.
Vertical Angles Theorem Vertical angles are congruent.
Midpoint The point on a segment that divides it into two, congruent segments.
Midpoint Formula The midpoint of (a,b) and (c,d) is: ( [a+c]/2 , [b+d]/2 ) Average the x-coordinate and average the y-coordinates.
Created by: Brit Howard