Transformations MathScience Innovation Center Betsey Davis.

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Presentation transcript:

Transformations MathScience Innovation Center Betsey Davis

Transformations B. Davis 2005 MathScience Innovation Center Transformation= change Isometry Translation Reflection –Over a line –Around a point –Lines of Symmetry Dilation Copy these down and skip lines to keep notes. Notes graded today !

Transformations B. Davis 2005 MathScience Innovation Center Isometry Change that preserves lengths and angle measures Example: isometric Example: Not isometric

Transformations B. Davis 2005 MathScience Innovation Center Isometry Isometry or not? NOT !

Translations By: Alisa

Transformations B. Davis 2005 MathScience Innovation Center Use the tip of the cow’s ear as the starting point (0,4) By: Alisa

Transformations B. Davis 2005 MathScience Innovation Center Original f(x) Translated up New equation: f(x)+4 By: Alisa

Transformations B. Davis 2005 MathScience Innovation Center Translation = slip or slide Up Down Right Left

Transformations B. Davis 2005 MathScience Innovation Center Original f(x) Translated down New equation: f(x)-6 By: Alisa

Transformations B. Davis 2005 MathScience Innovation Center Original f(x) Translated left New equation: f(x+7) By: Alisa

Transformations B. Davis 2005 MathScience Innovation Center Original f(x) Translated right New equation: f(x-8) By: Alisa

Transformations B. Davis 2005 MathScience Innovation Center

By Camille

Transformations B. Davis 2005 MathScience Innovation Center By Camille

Transformations B. Davis 2005 MathScience Innovation Center Reflection over a line: Flip Up and down Left and right

Transformations B. Davis 2005 MathScience Innovation Center By Camille

Transformations B. Davis 2005 MathScience Innovation Center By Camille

Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point= rotation Rather than flip over a line-

Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point= rotation Rather than flip over a line-

Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point= rotation Rather than flip over a line- Line Reflection The line is called the line of symmetry

Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point= rotation Rather than flip over a line- Line Reflection Spin about a point

Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point= rotation Rather than flip over a line- Line Reflection Spin about a point

Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point= rotation Rather than flip over a line- Line Reflection Spin about a point

Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point = rotation 30 degrees 90 degrees 180 degrees ¾ of a turn

Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point = rotation 30 degrees 90 degrees 180 degrees ¾ of a turn

Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point = rotation 30 degrees 90 degrees 180 degrees ¾ of a turn

Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point = rotation 30 degrees 90 degrees 180 degrees ¾ of a turn

Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point = rotation 30 degrees 90 degrees 180 degrees ¾ of a turn

Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point = rotation 30 degrees 90 degrees 180 degrees ¾ of a turn

Transformations B. Davis 2005 MathScience Innovation Center Refection: Over line About a point

Transformations B. Davis 2005 MathScience Innovation Center Refection: Over line About a point

Transformations B. Davis 2005 MathScience Innovation Center Refection: Over line About a point

Transformations B. Davis 2005 MathScience Innovation Center Refection: Over line About a point

Transformations B. Davis 2005 MathScience Innovation Center Refection: Over line About a point

Transformations B. Davis 2005 MathScience Innovation Center Refection: Over line About a point

Transformations B. Davis 2005 MathScience Innovation Center Refection: Over line About a point

Transformations B. Davis 2005 MathScience Innovation Center Lines of Symmetry To count lines of symmetry, imagine how many times you can rotate image and match original Example: a square has 4 lines of symmetry but a rectangle only has 2

Transformations B. Davis 2005 MathScience Innovation Center Lines of Symmetry To count lines of symmetry, imagine how many times you can rotate image and match original Example: How many lines does a regular pentagon have? Example: How many lines does a non-regular pentagon have?

By: Stephanie Hill

Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie Hill

Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie Hill

Transformations B. Davis 2005 MathScience Innovation Center Dilation: Stretch or Shrink Vertically: taller or shorter Horizontally: fatter or skinnier

Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie

Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie

Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie

Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie Hill

Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie

Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie

Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie

Transformations B. Davis 2005 MathScience Innovation Center Transformation= change Hopefully you have notes now on all of this. We add one more item now. Notes graded today ! Isometry Translation Reflection –Over a line –Around a point –Lines of Symmetry Dilation

Transformations B. Davis 2005 MathScience Innovation Center Tessellation Completely covering a plane with shapes with –No overlapping –No gaps Here is one more. Notes graded today !

Transformations B. Davis 2005 MathScience Innovation Center Tessellation

Transformations B. Davis 2005 MathScience Innovation Center

math6web/math6shell.swf This website reviews translations and line reflections. This website shows tessellations.

Transformations B. Davis 2005 MathScience Innovation Center Geometry in Art Time to practice! translation Rotation Or reflection about a point

Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

Transformations B. Davis 2005 MathScience Innovation Center Sample Classwork Chesterfield County Public Schools Geometry: Page 399 # 5,6,7 # 21,22 (just name transformation) 23,24,25,42 Page 407 #3,4,5,12,13,14