Symmetry.

Slides:



Advertisements
Similar presentations
Translations I can: Vocabulary: Define and identify translations.
Advertisements

TRANSFORMATIONS.
GEOMETRY SLIDESHOW 2:.
(7.7) Geometry and spatial reasoning The student uses coordinate geometry to describe location on a plane. The student is expected to: (B) graph reflections.
Transformation in Geometry Created by Ms. O. Strachan.
INTRODUCTION TO TYPES OF SYMMETRY. SYMMETRY Symmetry - part of a design that is repeated to make a balanced pattern. Artists use symmetry to make designs.
7-10 6th grade math Transformations.
Symmetry Two Types: 1. Line Symmetry (can be called reflectional symmetry)– if you can fold a shape and have the edges meet The place where you fold is.
Rigid Motions & Symmetry Math 203J 11 November 2011 ( is a cool date!)
SYMMETRICAL ORIGAMI TAYLOR RUMSEY. ESSENTIAL QUESTION How can we use origami to model different types of symmetry?
Unit 5: Geometric Transformations.
Describing Rotations.
Introduction Rigid motions can also be called congruency transformations. A congruency transformation moves a geometric figure but keeps the same size.
Symmetry Figures are identical upon an operation Reflection Mirror Line of symmetry.
Reflections Students will be able to reflect figures across the x and y axis.
Transformations and Tessellations Edited By: K. Stone.
Transformations A rule for moving every point in a figure to a new location.
Geometry concerned with questions of shape, size, relative position of figures, and the properties of space.
Symmetry in a circular motion
What are transformations? The word "transformation" refers to a movement or change in a geometric shape Introduction to Unit V- Transformations.
10-1(B) and 10-2(D) Translations and Reflections on the Coordinate Plane.
2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image.
Transformations LESSON 26POWER UP FPAGE 169. Transformations The new image is read as “A prime, B prime, C prime”
Transformational Geometry
Symmetry and Asymptotes. f(-x) = f(x)EvenSymmetrical wrt y-axis f(-x) = -f(x)OddSymmetrical wrt origin Even Neither Odd Even Odd.
Unit 2 Vocabulary. Line of Reflection- A line that is equidistant to each point corresponding point on the pre- image and image Rigid Motion- A transformation.
Symmetry LESSON 58DISTRIBUTIVE PROPERTY PAGE 406.
8-7 Transformation Objective: Students recognize, describe, and show transformation.
Geometry Rigid Transformations What do the words below mean? (think 1 min, discuss in group 1 min) Translation Reflection Rotation A SLIDE. The object.
Geometry Transformation s.  There are 3 types of rigid transformations:  Translation – shapes slide  Rotation – shapes turn  Reflection – shapes flip.
Constructions of Basic Transformations
Transformation in Geometry
Do-Now Find the value of x. A = 20 A = 35 x 4 x – 2 2x 3x A =
Transformations Geometry.
To transform something is to change it.
Transformations.
Warm Up Tell whether the shaded figure is a translation of the non-shaded figure. If it is a translation, use an arrow to represent the direction of the.
Transformations and Tesselations
Transformations Learning Target: I will be able to translate, reflect, rotate, and dilate figures.
Transformations.
Symmetry.
A movement of a figure in a plane.
A movement of a figure in a plane.
A movement of a figure in a plane.
Things translate (slide) when they move in a perfectly straight path.
A movement of a figure in a plane.
Transformations and Symmetry
1/22/14 Watch the following videos
DRILL If A is in between points B and C and AC is 4x + 12 and AB is 3x – 4 and BC is 57 feet how long is AB? Angles A and B are Supplementary if.
Transformation in Geometry
                                                                                                                                                                                                                                                               
TRANSFORMATION. TRANSFORMATION Foldable PRIME Original New IN MATH TERMS…. P -> P’
Transformations Day 1 Notes Slideshow.
Transformations Geometry
Unit 5 Transformations in the Plane
DRILL If A is in between points B and C and AC is 4x + 12 and AB is 3x – 4 and BC is 57 feet how long is AB? Angles A and B are Supplementary if.
DRILL What would be the new point formed when you reflect the point (-2, 8) over the origin? If you translate the point (-1, -4) using the vector.
MATIONS.
TRANSFORMATIONS Translations Reflections Rotations
Rotation: all points in the original figure rotate, or turn, an identical number of degrees around a fixed point.
Unit 4 Transformations.
Reflections in Coordinate Plane
What would be the new point formed when you reflect the point (-2, 8) over the origin? If you translate the point (-1, -4) using the vector.
Transformations.
Transformations: Translations Rotations Reflections
Transformations Translation Reflection The FRAME Routine
Maps one figure onto another figure in a plane.
Transformations.
Transformations on the Coordinate Plane
Congruent Figures Day 2.
Presentation transcript:

Symmetry

We find it in architecture… …on a large scale…

…and on an every day scale

We find it in nature…

We find it in ancient things…

We find it in art…

We find it in optical illusions… Symmetry is all around us

Based on all the pictures you just saw…. Try to define symmetry in your own words before clicking to the next slide.

So…how can we define symmetry? If an object is balanced and can fit into itself by reflection, rotation or translation – it has symmetry An object can have line symmetry, or rotational symmetry Symmetry is related to motion geometry in that the object can be “moved”

Line symmetry Line symmetry occurs where an object can be divided into mirror images. This line is sometimes called a line of reflection or an axis of symmetry The line can be vertical, horizontal or oblique (slanted) An object can have one or more lines of symmetry – or none.

Examples of line symmetry

More examples of line symmetry E U

Rotation symmetry

Rotation symmetry

Based on the three pictures you just saw… Try to define rotational symmetry in your own words before clicking to the next slide.

Rotational symmetry… When an object or shape can be spun around its center of rotation, AND fit into its original outline more than once in a complete turn. This design fits into itself 10 times

Makes sure you have your notes to show me tomorrow!