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﻿ Geometric Relationships - Classwork

﻿ **﻿ Currently we are on our __Geometric Relationships Unit__ that will take approximately 2 full weeks to cover. The unit will start on December 6th and end on December 17th. In class students will learn about the different terms that relate to points, lines and planes, and the relationships between them, as well as the relationships between the different pairs of angles** **﻿ contained within parallel lines and transverals.**  **﻿ Throughout the unit students' understanding of the material and progress will be informally assessed through classwork, class participation, and their work on an interactive angle website. On the last day of the unit the students will be given a test consisting of T-F, multiple choice, and student constructed response questions in order to formally assess their knowledge of the material. The schedule for this unit is located below, and the homework and interactive websites for this unit can be found by clicking on the appropriate links at the bottom of the page.**





o Undefined terms: point, line, plane o Notation: point, line, parallel, perpendicular o Collinear, coplanar o Identify parts of postulate: hypothesis, conclusion o Application of line perpendicular to plane || »4 days || **__G.G.1__** Know and apply that if a line is perpendicular to each of two intersecting lines at their point of intersection, then the line is perpendicular to the plane determined by them **__G.G.2__** Know and apply that through a given point there passes one and only one plane perpendicular to a given line **__G.G.3__** Know and apply that through a given point there passes one and only one line perpendicular to a given plane **__G.G.4__** Know and apply that two lines perpendicular to the same plane are coplanar **__G.G.5__** Know and apply that two planes are perpendicular to each other if and only if one plane contains a line perpendicular to the second plane **__G.G.6__** Know and apply that if a line is perpendicular to a plane, then any line perpendicular to the given line at its point of intersection with the given plane is in the given plane **__G.G.7__** Know and apply that if a line is perpendicular to a plane, then every plane containing the line is perpendicular to the given plane **__G.G.8__** Know and apply that if a plane intersects two parallel planes, then the intersection is two parallel lines **__G.G.9__** Know and apply that if two planes are perpendicular to the same line, they are parallel **__G.G.27__** Write a proof arguing from a given hypothesis to a given conclusion || Undefined Term Point Line Plane Segment Endpoint Ray Opposite Rays Skew Lines Parallel Planes Parallel Lines Perpendicular Lines Collinear Coplanar ||
 * Geometric Relationships Unit - 10 days ||
 * **__ 1. Points, Lines and Planes __**
 * ** 2. __Pairs of Angles__ **

o Vertical o Complementary o Supplementary o Adjacent || ** » **** 2 days ** || __**G.G.1**__ Know and apply that if a line is perpendicular to each of two intersecting lines at their point of intersection, then the line is perpendicular to the plane determined by them **__G.G.6__** Know and apply that if a line is perpendicular to a plane, then any line perpendicular to the given line at its point of intersection with the given plane is in the given plane **__G.G.7__** Know and apply that if a line is perpendicular to a plane, then every plane containing the line is perpendicular to the given plane || Vertical Angles Linear Pairs Complementary Angles Supplementary Angles Adjacent Angles || Transversal Interior Angles Exterior Angles Consecutive Interior ﻿Angles Alternate Interior Angles Alternate Exterior Angles Corresponding Angles || Pre-assessment Regents/state exam style questions Tests and quizzes · T/F · Multiple choice Constructed response || __** Informal **__ Class participation discussions On-spot checks of class work Protractor use and navigator activities Do-Now’s ||
 * **3.** **__ Parallel Lines cut by a Transversal __** || ** » **** 2 days ** || __** G.G.35 **__ Determine if two lines cut by a transversal are parallel, based on the measure of given pairs of angles formed by the transversal and the lines || ﻿Parallel Lines
 * 4. **__Review and Assessment__** || **» 2 days ** || __** Formal **__

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