review - First Semester Exam Review Worksheet PreAP/GT...

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First Semester Exam – Review Worksheet Pre–AP/GT Geometry A. Definitions. Chapter 1 • undefined terms, p. 2 point, line, plane • defined terms, p. 3 • line segment, endpoints, p. 3 • ray, opposite rays, p. 3 • postulate, axiom, p. 9 • congruent segment s, p. 11 • midpoint, p. 15 • segment bisector, p. 15 • acute, right, obtuse, straight angles, p. 25 • congruent angles, p. 26 • angle bisector, p. 28 • linear pair, p. 37 • vertical angles, p. 37 • polygon, p. 42 • convex, concave, p. 42 n -gon, p. 43 • e quilateral, equiangular, regular, p. 43 Chapter 2 • conjecture, p. 73 • inductive reasoning, p. 73 • counterexample, p. 74 • conditional statement, p. 79 converse, inverse, contrapositive • if -then form, p. 79 hypothesis, conclusion • negation, p. 79 • eq uivalent statements, p. 80 • perpendicular lines, p. 81 • biconditional statement, p. 82 • deductive reasoning, p. 87 • proof, p. 112 • two -column proof, p. 112 • theorem, p. 113 Chapter 3 • parallel lines, p. 147 • skew lines, p. 147 • parallel planes, p. 147 • transversal, p. 149 • corresponding angles, p. 149 • alternate interior angles, p. 149 • alternate exterior angles, p. 149 • consecutive interior angles, p. 149 • paragraph proof, p. 163 • slope, p. 171 • slope -intercept form, p. 180 • standard for m, p. 182 • distance from a point to a line, p. 192 Chapter 4 • triangle, p. 217 scalene, isosceles, equilateral, acute, right, obtuse, equiangular • interior angles, p. 218 • exterior angles, p. 218 • corollary, p. 220 • congruent figures, p. 225 • corre sponding parts, p. 225 • right triangle, p. 241 legs, hypotenuse • flow proof, p. 250 • isosceles triangle, p. 264 legs, vertex angle, base, base angles • transformation, p. 272 translation, reflection, rotation Chapter 5 • midsegment of a triangle, p. 295 • coordinate proof, p. 296 • perpendicular bisector, p. 303 • equidistant, p. 303 • point of concurrency, p. 305 • circumcenter, p. 306 • incenter, p. 312 • median of a triangle, p. 319 • centroid, p. 319 • altitude of a triangle, p. 320 • orthocente r, p. 321 • indirect proof, p. 337 Chapter 6 • ratio, p. 356 • proportion, p. 358 means, extremes • geometric mean, p. 359 • scale drawing, p. 365 • scale, p. 365 • similar polygons, p. 372 • scale factor of two similar polygons, p. 373 • dilation, p. 409 • center of dilation, p. 409 • scale factor of a dilation, p. 409 • reduction, p. 409 • enlargement, p. 409 B. Properties Algebraic PoE p.105 Reflexive, Symmetric, Transitive PoE, p.107 C. Postulates 1. Ruler Pos. (p. 9) 2. Segment Addition Pos. (p. 10) 3. Protractor Pos. (p. 24) 4. Angle Addition Pos. (p. 25 ) 5. Through any two points there exists exactly one line. (p. 96) 6. A line contains at least two points. (p.
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review - First Semester Exam Review Worksheet PreAP/GT...

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