Object Reflections and Symmetry

Slides:



Advertisements
Similar presentations
Vocabulary:  Transformation – a one-to-one correspondence between two sets of points  Pre-image – the original figure  Image – figure after transformation.
Advertisements

Reflections Lesson 6-2 Page 461.
Geometry Project Geometry Project By – Andreu H..
Object Reflections and Symmetry Module 9. Session Topics ● Reflection of an object ● Planes of symmetry ● Reflections through rotations.
9.3 – Perform Reflections.
Transformations Unit, Lesson 1
Warm Up Use Labsheet 1.1.
Lesson 11.4 Translations and Reflections
Reflection and Rotation Symmetry
ENGLISH FOR DESIGN Principles of Design. Elements & Principles.
Symmetry Figures are identical upon an operation Reflection Mirror Line of symmetry.
Symmetry Two points, P and P ₁, are symmetric with respect to line l when they are the same distance from l, measured along a perpendicular line to l.
Section 4- 3 Reflecting Graphs; Symmetry Objective: To reflect graphs and to use symmetry to sketch graphs.
12/8/ : Symmetry in Polygons. 12/8/ : Symmetry in Polygons On the first day of school, Mr Vilani gave his 3 rd grade students 5 new words.
Transformations To move a figure in the coordinate system to another location or image, by a rule.
Label all points on the object Always construct projection lines at 90 degrees to the axis of symmetry form points on the object.
2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image.
Rotation of Objects about Two or More Axes Module 8.
Lesson Goals Identify and use reflections in a plane Identify reflections in the x-axis and the y-axis ESLRs: Becoming Competent Learners, Complex Thinkers,
~Adapted from Walch Education Applying Lines of Symmetry.
EQ: How can I identify symmetry in figures? Do Now 1. Give the coordinates of triangle ABC with vertices (7, 2), (1, 2), (4, –5) reflected across the y-axis.
9.3 – Perform Reflections. Reflection: Transformation that uses a line like a mirror to reflect an image Line of Reflection: Mirror line in a reflection.
Test Review Answers: DEFINITIONS (Level 3). If lines k and m are parallel, then a reflection in line k followed by a reflection in line m is a ___________.
4.3 Symmetry Objective To reflect graphs and use symmetry to sketch graphs. Be able to test equations for symmetry. Use equations to describe reflections.
Funded by a grant from the National Science Foundation. Any opinions, findings, conclusions or recommendations expressed are those of the authors and do.
Geometry 12-5 Symmetry. Vocabulary Image – The result of moving all points of a figure according to a transformation Transformation – The rule that assigns.
Symmetry LESSON 58DISTRIBUTIVE PROPERTY PAGE 406.
Chapter Transformations Part 1. Objective: Use a translation, a reflection, and a rotation Describe the image resulting from a transformation.
What is a rigid transformation?  A transformation that does not change the size or shape of a figure.
Reflections.
Reflections Geometry.
Transformations and Symmetry
7.2 Reflections Geometry Ms Bateman 2010.
Rotation of Objects about Two or More Axes
Lesson 10-9 Pages Reflections.
7.2 Reflections.
Transformations and Tesselations
Warm Up Suppose triangle ABC has the coordinates A(-1,2), B(4,-3), and C(3,5). Find the coordinates of the image after a translation three units to the.
Fill out Translations Portion of Foldable!
Warm-up.
Pearson Unit 2 Topic 8: Transformational Geometry 8-2: Reflections Pearson Texas Geometry ©2016 Holt Geometry Texas ©2007.
Reflections & Rotations
Geometry A Final Review
TRANSFORMATION. TRANSFORMATION Foldable PRIME Original New IN MATH TERMS…. P -> P’
Transformations Geometry
Module 14: Lesson 4 Perpendicular Lines
Reflections.
Warm Up On pg.’s 133 and 134 of your notes:
TRANSFORMATIONS Translations Reflections Rotations
Module 15: Lesson 5 Angle Bisectors of Triangles
Rotation: all points in the original figure rotate, or turn, an identical number of degrees around a fixed point.
Cutting Planes and Cross Sections
These are flips, slides, turns, and enlargements/reductions.
Warm-up.
Name each of the following angles in 4 ways
Unit 1Review
Module 1 Topic C – Lesson 14 – Reflections
Module 1 Topic C – Lesson 14 – Reflections
Module 2 Review
Unit 1 – Day 2 Reflections.
Surfaces and Solids of Revolution
Reflections.
Objective Identify and draw reflections..
Reflections Geometry.
9.2 Reflections By Brit Caswell.
Warm Up January 27 Student 1 Quiz Scores:70, 85, 89, 78, 84, 75, 95
Day 47 – Fixed points and invertibility in rigid motion
Chapter 5 Congruent Triangles.
Topic 3 - transformations
Presentation transcript:

Object Reflections and Symmetry Module 9 HigherEdServices.org

Session Topics Reflection of an object Planes of symmetry Reflections through rotations

Reflection A reflection across a plane displays the object’s mirror image. Reflection Plane Each point, A, is associated with an image point, A’, such that the plane, P, is a perpendicular bisector of the line segment AA’.

Plane of Symmetry Plane of symmetry occurs if the parts of the object on both sides of the plane are mirror images of each other.

Reflection through Rotation For a symmetric object, the mirror image can occur by rotating one side of the object 180°about an axis of rotation that's in the plane of symmetry.

Multiple Planes of Symmetry Many objects have multiple planes of symmetry Infinite 5 2

Course Software….. Work through the Reflections and Symmetry software module

Object Reflections and Symmetry Homework … Complete the following pages in Module 9 reflx/sym- 2 - 5 8 - 9 12 - 15