PPT-Geometry Chapter 9 Properties of Transformations

This Slideshow was developed to accompany the textbook Larson Geometry By Larson R Boswell L Kanold T D amp Stiff L 2011 Holt McDougal Some examples and diagrams are taken from the textbook. a 12 22 a a mn is an arbitrary matrix Rescaling The simplest types of linear transformations are rescaling maps Consider the map on corresponding to the matrix 2 0 0 3 That is 7 2 0 0 3 00 brPage 2br Shears The next simplest type of linear transfo Ch. 2 Lesson 3. Pg. 123. What will you will learn?. Enlarge Photographs. Make something from a pattern. Identify Similarity. Two figures are . similar. if the second can be obtained from the first by a sequence of transformations and dilations. Lecture 3. Jitendra. Malik. Pose and Shape. Rotations and reflections are examples. of orthogonal transformations . Rigid body motions. (Euclidean transformations / . isometries. ). Theorem:. Any rigid body motion can be expressed as an orthogonal transformation followed by a translation.. Manufacturing materials. Instructor: Dr. . Mohamed Ali . Eissa. . Saleh. Room: ………….... . 2A 128/1. Phone: …………... . 467-3703. . Grading. Midterm #1: ………. . .……….....…… 15%. Affine transformations . preserve. affine combinations of points. . . Affine transformations preserve lines and planes.. . Parallelism of lines and planes is preserved. . The columns of the matrix reveal the transformed coordinate frame.. Objectives: . I CAN . duplicate a segment using a patty paper and a straightedge. I CAN . duplicate . an angle . using a patty paper and a . straightedge or a straightedge and a compass. .. 1. Serra - Discovering Geometry. SketchUp. Dr. Carl Lee – University of Kentucky. Dr. Craig Schroeder – Fayette County Public Schools. Overview of Project. Integrated STEM Course – . 7. th. Grade. 8 weeks, 2-3 days a week. Students had completed instruction on transformational geometry. Reflections, Rotations , Oh My!. Janet Bryson & Elizabeth Drouillard. CMC 2013. What does CCSS want from us in High School Geometry?. The expectation . in Geometry . is to understand that . rigid . Learning Targets: 8.G.2,8.G.3, 8.G.4. Follow the slides to learn more about transformations. Students should have paper and a pencil for notes at their desk while going through this presentation.. Transformation: a transformation is a change in position, shape or size.. Anthony Bonato. Ryerson University. 1. st. Symposium on Spatial Networks. Oxford University. 1. Friendship networks. network of on- and off-line friends form a large web of interconnected links. 2. Geometry of Social Networks. 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.. Chapter 10. 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.. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: . 29. th. August 2015. Introduction. A matrix (plural: matrices) is . simply an ‘array’ of numbers. , e.g.. But the power of matrices comes from being able to multiply matrices by vectors and matrices by matrices and ‘invert’ them: we can:. A workshop prepared for the Rhode Island Department of Education. . by. Monique . Rousselle. Maynard. momaynard86@gmail.com. Transformations. “. Means to an end. .”. . . Hung-Hsi . Wu.