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. And 57375en 57375ere Were None meets the standard for Range of Reading and Level of Text Complexity for grade 8 Its structure pacing and universal appeal make it an appropriate reading choice for reluctant readers 57375e book also o57373ers students 1 2D Transformations Given a point cloud polygon or sampled parametric curve w e can use transformations for several purposes 1 Change coordinate frames world window viewport devic e etc 2 Compose objects of simple parts with local scaleposition orie 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 . November 5, 2012. . Ms. Smith. Mrs. Malone. DO NOW. :. Date. : . November 5, 2012. 6.9C . demonstrate . energy transformations such as how energy in a flashlight battery changes from chemical energy to electrical energy to light energy.. Chapter 9. Molecular Shapes. Section 9.1. Lewis structures only provide a 2-D representation of a molecule. However, by including the bond angles of molecules, a more accurate 3-D representation can be achieved. By: Victoria Leffelman. Any geometry that is different from Euclidean geometry. Consistent system of definitions, assumptions, and proofs that describe points, lines, and planes. Most common types of non-Euclidean geometries are spherical and hyperbolic geometry . 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.. A taste of projective geometry. Introduction to Computer Vision. Ronen Basri. Weizmann Institute of Science. Summery of last lecture. Pinhole camera model, perspective projection. Scaled orthographic . 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.. 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. in real life. HW: Maintenance Sheet 3 . (7-8). I can use the properties of translations, rotations, and reflections on line segments, angles, parallel lines or geometric figures. . I can show and explain two figures are congruent using transformations (explaining the series of transformations used) . 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. What is a Parent Function. A parent function is the most basic version of an algebraic function.. Types of Parent Functions. Linear f(x) = mx b. Quadratic f(x) = x. 2. Square Root f(x) = √x. Exponential f(x) = . CSE 455. Ali Farhadi. Many slides from Steve Seitz and Larry . Zitnick. What are geometric transformations?. Translation. Preserves: Orientation. Translation and rotation. Scale. Similarity transformations.