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Geometry Chapter 1 Study Guide I. Terms A. Line: Through any two points exists exactly one line. Lines have no defined endpoints. B. Collinear: Points on the same line C. Plane: Through any three noncollinear points form exactly one plane. D. Line Segment: A part of a line with two defined endpoints E. Ray: A part of a line with one defined endpoint and an arrowhead describing the direction of the ray. F. Opposite Rays: Form a line G. Angle Types: 1. Acute Angles are less than 90˚ 2. Obtuse Angles are greater than 90˚ but less than 180˚ 3. Right Angles are equal to 90˚ 4. Straight Angles are equal to 180˚ II. Formulas and Postulates A. Segment Addition Postulate 1. If B is between A and C, then AB + BC = AC 2. If AB + BC = AC, then B is between A and C A B C 3. Examples: a. Find XZ X 23 Y 50 Z b. Find GH F 37 144 G H c. Find AB 36 A -2x + 12 B 4x + 20 B. Angle Addition Postulate (Same as Segment Addition Postulate above) C