PPT-Planes and Lines: the Concepts of Parallel, Skew and Transversal

Section 31 Big Ideas Geometry Parallel Lines Two lines that do not intersect and are coplanar The symbol for parallel is and is read is parallel to So mn reads line m is parallel to line n. Ashutosh Chakraborty. and David Z. Pan. ECE Department, University of Texas at Austin. ashutosh@cerc.utexas.edu. . dpan@cerc.utexas.edu. International Symposium on Physical Design 2010. 1. Outline. Parallel and Perpendicular Lines. Perpendicular lines. are two lines that intersect to form a 90º. . angle. . Parallel and Perpendicular Lines. Parallel lines. are two lines that, if extended indefinitely, would never cross or touch. Lines Are Parallel. Objective:. After studying this section, you will be able to apply the exterior angle inequality theorem and use various methods to prove lines are parallel.. An exterior angle of a triangle is formed whenever a side of the triangle is extended to form an angle supplementary to the adjacent interior angle.. in . IC Implementation. Tuck-Boon Chan, Andrew B. Kahng, . Jiajia Li. . VLSI CAD LABORATORY, . UC. San Diego. Outline. Background and Motivation . Problem Statement. Our Methodologies. Experimental Setup and Results. Angle Relationships . Parallel Lines are j & k. Transversal is l. Corresponding Angles. “Corresponding” means “matching”, so corresponding angles are the ones at the same location at each intersection.. Objective Learn to recognize parallel and perpendicular lines. . Parallel and Perpendicular Lines…. A . plane. is an infinite, flat surface. Lines in a plane that never meet are called . parallel Lines. A point is an exact location in space.. You are here.. A true point has no length, no width, and no height.. In fact, you cannot see a true point.. A point is named by a letter.. P. Point P. Lines are 1-dimensional objects that have only length. Lines continue forever in both directions.. Geometry. Chapter 3. This Slideshow was developed to accompany the textbook. Larson Geometry. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Section 3.1 – Lines and Angles. I CAN identify relationships between figures in space.. I CAN identify angles formed by two lines and a transversal.. Key Vocabulary:. Parallel Lines. Skew Lines. Parallel Planes. Algebra 1 Unit 5: Writing equations of lines. Parallel Lines. What are parallel lines?. Parallel lines are two lines that never intersect each other.. Where have you seen examples in real-life?. Lines on a road. Pgs. 26, 28, 30. Warmup. (pg. 23) . The measures of 2 Vertical Angles are 90 and (5x 10). Find the value of x.. The measure of an angle is twice the measure of its compliment. . What’s a Transversal? . Ashutosh Chakraborty. and David Z. Pan. ECE Department, University of Texas at Austin. ashutosh@cerc.utexas.edu. . dpan@cerc.utexas.edu. International Symposium on Physical Design 2010. 1. Outline. Lesson Menu. Five-Minute. Check. CCSS. Then/Now. New Vocabulary. Key Concept: Undefined Terms. Example 1: Name Lines and Planes. Example 2: Real-World Example: Model Points, Lines, and Planes. Example 3: Draw Geometric Figures. i.e. . they do not meet).. What is the shortest distance between them?.  .  .  .  . Also find the co-ordinates of . and . ..  . shortest distance. must be perpendicular to both lines.. Let . Then .