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Geometry Chapter 1 Discovering Points, Lines, Planes and Angles Dates Assignments Objectives Vocabulary 8/19-8/20 Use the construction reference guide posted on smart school or the textbook pages to construct each of the figures under vocabulary Due 8/25-8/26 (quiz grade) pp. 6-12 Introductions Geometry vocabulary Constructions Congruent Segments p 14 Perpendicular Bisector p 172 Midpoint p 172 Congruent angles p 22 Bisect an angle p 23 Perpendicular line through a point NOT on a line p 179 Perpendicular line through a point ON a line. p 179 8/21-8/24 exercises 20-24; 28,29,39-41 Use http://www.mathopenref.com/tocs/constructionstoc.html for web support textbook my.hrw.com username: grickson password:fancy 1.1 Points, Lines, and Planes • Identify and model points, lines, and planes. • Identify coplanar points and intersecting lines and planes. Due 8/25-8/26 8/25-8/26 pp. 13-19 exercises 11-15; 31-33; 35; 36-39 1.2 Measuring and Constructing Segments • Find the distance between two points on a number line and between two points in a coordinate plane. • Use length and midpoint of a segment • Construct midpoints and congruent segments Due 8/27-8/28 Undefined term Point line segment endpoint ray opposite rays plane space coplanar collinear non-collinear postulates (know the first 5) Between Distance length measure midpoint bisect postulate ruler postulate distance formulas d = a b segment addition postulate congruent congruence of segments construction: copy a segment construct a midpoint segment bisector 8/27-8/28 Pp 20-27 exercises 12-26; 29-32; 41-45; Due 8/31-9/1 1.3 Measuring and Constructing Angles Identify angles and classify angles. Use the angle addition postulate and a protractor to find the measures of Identify and use congruent angles and the bisector of an angle. Construct congruent angles (copying an angle) and Angle Ray Opposite rays Sides vertex degree Angle measure (more on back) the bisector of an angle 8/31-9/1 Pp 28-33 exercises 1-11; 26-32 even 39-42 Due 9/2-9/3 1.4 Pairs of Angles Identify and use adjacent, vertical, complementary, supplementary angles, linear pairs of angles and perpendicular lines. 9/2-9/3 No homework 9/4-9/8 Pp 43-49 12-20 even 1.5 Using formulas QUIZ on 1.1-1.4 1.6 Midpoint and Distance on the Coordinate Plane To graph ordered pairs To graph a line using y=mx+b To use the midpoint, distance and pythagorean formulas Due 9/9-9/10 Protractor Protractor postulate Angle addition postulate Right, acute, obtuse Congruence of Angles Constructions: Copy an angle Angle bisector adjacent angles, vertical angles, complementary angles supplementary angles, linear pairs of angles perpendicular lines. Midpoint Formula x1 x2 y1 y2 , 2 2 Distance formula d ( x2 x1 )2 ( y2 y1 )2 Pythagorean Theorem a 2 b2 c2 9/9-9/10 Pp 50-55 1-12 all 29-32 1.7 Transformations in the coordinate plane Identify reflections, translations and rotations Graph the transformations on a coordinate plane Due 9/11-9/14 9/11-9/14 9/15-9/16 Text test Page64 1-24 all Due 9/15-9/16 Review quiz Chapter One Test Leg and hypotenuse Coordinate plane x-axis y-axis origin quadrants ordered pair x-coordinate y-coordinate collinear non-collinear slope intercept equation Transformation Reflection Translation Rotation Pre-image image