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Guided Notes Chpt. 1 Geometry 1-1 A grid system for plotting points is called the Cartesian ______________ plane. X axis is __________________ Y axis is __________________ Quadrants Collinear --- set of points that lay on the same ___________________ Noncollinear --- points that _______________ lay on the same line Y = MX + B Slope -- m= _______________ rise / __________ Example positive slope 1-2 Point---Line ---Plane ---Coplanar--- b = _____________ formula Example negative slope Labeling & examples Point line segment line ray Angle 1-3 Formulas Perimeter --- ___________up all the sides of a polygon Area Rectangle- triangle- Square- C = 5/9 (F-32) ___________________________ F = 9/5 (C + 32) __________________________ 1-4 Measuring Segments A _________________ is a statement that is assumed to be true Ruler Postulate -- (distance) is always _____________________ Segment Addition Postulate - Part + Part is a __________________ Examples- plane Distance formula ----- Pythagorean Theorem --examples 1-5 Midpoint Midpoint formula- ** find the horizontal distance – cut in half find the vertical distance – cut in half Definition of Midpoint – Definition of Bisect- Definition of Congruent- 1-6 Angles Part of an angle- A ______________________ is a tool to measure the degrees of an angle. Angle Additon Postulate Example Definitions of AnglesAcute ---- __________ ---- greater then 90 degrees Right ----- Angle Bisector—cuts an angle into ___________ equal parts 1-6 Angle Relationships Lines that meet at exactly 90 degrees are ________________ lines Types of Angles ___________________ angles that are side by side example Vertical angles – angles that are formed by ________________ lines example _____________________________ a pair of angles that are adjacent angles that form a line (opposite rays) example _________________ angles add up to be 90 degrees example Supplementary angles add up to be _______ degrees example Postulates- Vertical Angles are __________________ _____________________ lines form 4 right angles Vocabulary WordsAcute angle, adjacent angles, angle bisector, collinear, complementary angles, congruent, coplanar, linear pair, midpoint, noncollinear, obtuse angle, perimeter, perpendicular line, plane, postulate, pythagorean theorem, segment bisector, supplementary angles, vertical angles, vertex, ordered pair, quadrants, distance formula, midpoint formula