SB Geom 11 Completed.notebook September 13, 2012 Geometry Chapter 1 Essentials of Geometry Aug 198:17 AM Lesson 1.1 Identify Points, Lines, and Planes Geometry The mathematics of the properties, measurement, and relationships of points, lines, angles, surfaces, and solids undefined terms words with no formal definition point location with no dimension. represented with a dot named with a capitol letter line a collection of points in one direction, or dimension represented with a line with two arrowheads named with a lowercase letter or two points and double arrow plane a collection of points in two directions, or dimensions represented with a shape that looks like a floor or a wall named with a bold capitol letter or three points Aug 198:18 AM 1 SB Geom 11 Completed.notebook September 13, 2012 What do you notice about these three points? collinear points points that lie on the same line coplanar points points that lie on the same plane Expl 1, in your book. a. Give two other names for PQ and for plane R. b. Name three points that are collinear. Name four points that are coplanar. Guided Practice. 1. Give two other names for ST. Name a point that is not coplanar with points Q, S, and T. Aug 198:30 AM defined terms terms that can be described using known words such as point, line, and plane Segment consists of the endpoints A and B and all points between named by the two endpoints and a line segment Endpoint one of two points at the end of a line segment Ray consists of one endpoint and all the points on one side of the endpoints, goes in one direction named by the two endpoints and an arrow going the same direction opposite rays rays with the same endpoint, lying on the same line, and extending in opposite directions Aug 198:35 AM 2 SB Geom 11 Completed.notebook September 13, 2012 Expl 2. in your book, page 4. a. Give another name for GH. b. Name all rays with endpoint J. Which of these rays are opposite rays? Guided Practice 2. Give another name for EF. 3. Are HJ and JH the same ray? Are HJ and HG the same ray? Explain. Aug 198:49 AM Intersection the intersection of two figures is the point or set of points the figures have in common What is the intersection of a ... Line and a line Line and a plane Plane and a plane Aug 198:52 AM 3 SB Geom 11 Completed.notebook September 13, 2012 Expl 3. Sketch intersections of lines and planes. Use labels. a. Sketch a plane and a line that is in the plane. b. Sketch a plane and a line that does not intersect the plane. c. Sketch a plane and a line that intersects the plane at a point. Expl 4. Sketch two planes that intersect in a line. Aug 198:54 AM Guided Practice. in your book, page 5. 4. Sketch two different lines that intersect a plane at the same point. 5. Name the intersection of PQ and line k. 6. Name the intersection of plane A and plane B. 7. Name the intersection of line k and plane A. Aug 198:56 AM 4 SB Geom 11 Completed.notebook September 13, 2012 Homework Lesson 11 130 Aug 198:59 AM 5
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