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Geometry - Definitions, Postulates, Properties & Theorems

Geometry - Definitions, Postulates, Properties & Theorems Geometry Page 1 Chapter 1 & 2 Basics of Geometry & Reasoning and Proof Definitions 1. Congruent Segments (p19) 2. Congruent Angles (p26) 3. Midpoint (p35) 4. Angle Bisector (p36) 5. Vertical Angles (p44) 6. Complementary Angles (p46) 7. Supplementary Angles (p46) 8. Perpendicular Lines (p79) Postulates 1. Ruler Postulate: The points on a line can be matched one to one with the real numbers. The real numbers that correspond to a point is the coordinate of the point. The distance between points A and B, written as AB, is the absolute value of the difference between the coordinates A and B. 2. Segment Addition Postulate: If B is between A and C, thenAB BCAC+=, then B is between the coordinates of A and C. 3. Protractor Postulate: Consider a point A on one side of OBsuur. The rays of the form OAuuur can be matched one to one with the real numbers from 0 to 180. The measure of AOB is equal to the absolute value of the difference between the real numbers for OAuuur andOBuuur.

5.7 Concurrency of Medians of a Triangle: The medians of a triangle intersect at a point that is two thirds of the distance from each vertex to the midpoint of the opposite side. 5.8 Concurrency of Altitudes of a Triangle: The lines containing the altitudes of a triangle are concurrent. 5.9 Midsegment Theorem: The segment connecting the ...

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