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Transformation Rules - WPMU DEV

Transformation Rules Rotations: 90 R (x, y) = ( y, x) Clockwise: 90 R (x, y) = (y, -x) Ex: (4,-5) = (5, 4) Ex, (4, -5) = (-5, -4) 180 R (x, y) = ( x, y) Clockwise: 180 R (x, y) = ( x, y) Ex: (4,-5) = (-4, 5) Ex, (4, -5) = (-4, 5) 270 R (x, y) = ( y, x) Clockwise: 270 R (x, y) = ( y, x) Ex: (4,-5) = (-5, -4) Ex, (4, -5) = (5, 4) Translation: Ta, b (x, y) = (x + a, y + b) Ex: Translate (4,-5) = (X + 4, Y + -5) Dilation: Dk (x,y) = (kx, ky ) (*k is the scale factor) Dilate the figure by a scale factor of = ( x, y)- reduction Dilate the figure by a scale factor of 2 = (2x, 2y) - enlargement Line Reflections: r x-axis( x,y) = (x,-y) r y-axis (x,y)= (-x, y) r y= x (x, y)= (y, x) r y= -x (x, y)= (-y,-x)

Transformation Rules Rotations: 90º R (x, y) = (−y, x) Clockwise: 90º R (x, y) = (y, -x) Ex: (4,-5) = (5, 4) Ex, (4, -5) = (-5, -4) 180º R (x, y) = (−x,−y ...

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Transcription of Transformation Rules - WPMU DEV

1 Transformation Rules Rotations: 90 R (x, y) = ( y, x) Clockwise: 90 R (x, y) = (y, -x) Ex: (4,-5) = (5, 4) Ex, (4, -5) = (-5, -4) 180 R (x, y) = ( x, y) Clockwise: 180 R (x, y) = ( x, y) Ex: (4,-5) = (-4, 5) Ex, (4, -5) = (-4, 5) 270 R (x, y) = ( y, x) Clockwise: 270 R (x, y) = ( y, x) Ex: (4,-5) = (-5, -4) Ex, (4, -5) = (5, 4) Translation: Ta, b (x, y) = (x + a, y + b) Ex: Translate (4,-5) = (X + 4, Y + -5) Dilation: Dk (x,y) = (kx, ky ) (*k is the scale factor) Dilate the figure by a scale factor of = ( x, y)- reduction Dilate the figure by a scale factor of 2 = (2x, 2y) - enlargement Line Reflections: r x-axis( x,y) = (x,-y) r y-axis (x,y)= (-x, y) r y= x (x, y)= (y, x) r y= -x (x, y)= (-y,-x)


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