G Transformations Overview
 Transformations are changes  in position or orientation of a figure.  Types of transformations include translations - slides along a straight line, reflections - flips over a line of reflection, rotations - turns on a fixed point.  Transformations arechanges in position or orientation of a figureslides along a straight lineflips overs a line of reflectionturns around a fixed point Transformations are changes  in position or orientation of a figure.  Types of transformations include translations - slides along a straight line, reflections - flips over a line of reflection, rotations - turns on a fixed point.  Translations arechanges in position or orientation of a figureslides along a straight lineflips overs a line of reflectionturns around a fixed point Transformations are changes  in position or orientation of a figure.  Types of transformations include translations - slides along a straight line, reflections - flips over a line of reflection, rotations - turns on a fixed point.  Reflections arechanges in position or orientation of a figureslides along a straight lineflips overs a line of reflectionturns around a fixed point Transformations are changes  in position or orientation of a figure.  Types of transformations include translations - slides along a straight line, reflections - flips over a line of reflection, rotations - turns on a fixed point.  Rotations arechanges in position or orientation of a figureslides along a straight lineflips overs a line of reflectionturns around a fixed point scale factordilationscoordinatesDilations are  transformations that change the size but not the shape.  This is done by multiplyingthe coordinates of each point by the same number. This number is called a scale factor. Changes is size but not shape are called scale factordilationscoordinatesDilations are  transformations that change the size but not the shape.  This is done by multiplyingthe coordinates of each point by the same number. This number is called a scale factor. The number each coordinate is multiplied by is called a(n) A reflection can be a flip over any line.  This is a reflection across the y-axis.   This is a rotation.  The point of rotation is the original forthis rotation.  The blue one rotated 90ο clockwise or theblack one rotated 90o counter clockwise. This is a translation.  It can slide left/right and/or up/down.  The shape slid across the plane five units to either the right or left. This transformation or change is an example of a(n)...translationdilation reflectionrotation reflectiontranslationrotationdilationThis is an exampleof a(n)... reflectiontranslationrotationdilationThis is an exampleof a... Motion rules explain what is changing.For example (x, y) →(-x, y) means only x is changing signs.When only x changes or only y changes, it is areflection.(x, y) → (x + 4, y - 3) means the shape or preimage ismoving four to the right and three down.  It slid so thisis a translation.(x, y) → (y, -x) means x and y switch places and theoriginal x changes signs.  This would be a 90o rotationabout the original in a clockwise turn.(x, y) → (-x, -y) is a 180o turn about the origin. What transformation is the following?   (x, y) → (-x, y)DilationRotationTranslationReflection What transformation is the following?   (x, y) → (-x, -y)DilationRotationof 180 degreesTranslationReflection What transformation is the following?   (x, y) → (x + 3, y - 4)DilationRotationTranslationReflection What transformation is the following?   (x, y) → (-y, x)DilationRotationTranslationReflection When a shape is reflected across the "x" axis it is an up and down change.  This changes which number in the ordered pair?the "x" numbersthe"y" numbers When a shape is reflected across the "y" axis it is a sideways change.  This changes which number in the ordered pair?the "x" numbersthe"y" numbers
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