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Understanding Angles and Geometry Fundamentals

This guide covers essential concepts in geometry, including the Angle Addition Postulate, angle classifications such as acute, obtuse, right, and straight angles, and the Segment Addition Postulate. It further explains the coordinate plane's structure, axes, and quadrants, and introduces the distance formula for calculating the distance between two points. Key geometric concepts like vertical angles and bisectors are reviewed for better understanding. Perfect for students seeking to solidify their foundational knowledge in geometry.

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Understanding Angles and Geometry Fundamentals

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  1. 8/29/2011 Geometry

  2. Angle Addition Postulate • <ABC =300 & <CBD = 350 Then <ABD = ? A C A C D D B B B

  3. Segment Addition Postulate • IfAB = 10 and BC =15 then AC =? B C B A A C

  4. Types of Angles • Acute angles are angles that have a measure greater than 00 and less than 900 • Obtuse angels are angles that have a measure greater than 900 and less than 1800 • Right angles are angles that measure 900 • Straight angles are angles that measure 1800 (a line)

  5. Coordinate Plane • Made up of two axis; x-axis (horizontal) & y-axis (vertical) • Axis intersect at the origin (0,0) • Breaks up a two dimension space into quadrants. Numbered 1-4. • Each point corresponds to an ordered pair (x,y)

  6. Distance Formula • The distance d between two points A(x1,y1) and B(x2,y2) is • d=√(x2-x1)2 + (y2-y1)2 • Find the distance between (-3,4) (8,-6) & (4,8) (2,3)

  7. Review • Vertical angles - What are they? • Angle Bisector – What is it? • Perpendicular bisector – What does it do?

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