All about Transformations

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 are changes in position or orientation of a figure slides along a straight line flips overs a line of reflection turns 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 are changes in position or orientation of a figure slides along a straight line flips overs a line of reflection turns 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 are changes in position or orientation of a figure slides along a straight line flips overs a line of reflection turns 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 are changes in position or orientation of a figure slides along a straight line flips overs a line of reflection turns around a fixed point scale factor dilations coordinates Dilations are transformations that change the size but not the shape. This is done by multiplying the coordinates of each point by the same number. This number is called a scale factor.
Changes is size but not shape are called scale factor dilations coordinates Dilations are transformations that change the size but not the shape. This is done by multiplying the 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) translation dilation reflection rotation reflection translation rotation dilation reflection translation rotation dilation Give the coordinates for a reflection over the x-axis. A(4, -3) A'( , ) Give the coordinates for a translation using the following rule: (x - 5, y + 4) W(3, -7) W'( , ) Give the coordinates of the point when dilated using a scale factor of 6. B(-2, 0) B'( , ) Give the coordinates for the triangle when reflected over the y-axis. A(6, -2) B(5, -9) C(8, -4) A'( , ) B'( , ) C'( , ) rotation Pre Image An operation that maps (moves) a preimage to an image is a transformation. This transformation is a: reflection translation Image Pre Image ? This is a tranSLation (SLide) to the right. The NEW figure is the image. Image ? This is a tranSLation (SLide) to the left. The NEW figure is the image. Image ? Pre Image ? If the preimage has point A A The image has corresponding (matching) point A' B C A' B' ? C' ? If the preimage has point A, the image has point A'. A' is read as "A prime" A PREIMAGE ? B C A' IMAGE ? B' C' If the has point A, the image has point A'. A' is read as "A " preimage preimage C ? prime A B image C' A' ? B' ? 2 -2 4 -4 2 -2 4 -4 6 -6 A C B C' A' B' Coordinate notation shows this translation (x,y)→(x+2, y-5) This means the preimage moves 2 units right and 5 units down to form the image 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 (x,y)→(x+2, y-7) (x,y)→(x-2, y+7) (x,y)→(x-2, y-7) (x,y)→(x+2, y+7) Which coordinate notation is shown? A' A B' C' B C 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 (x,y)→(x+2, y-7) (x,y)→(x-2, y+7) (x,y)→(x-2, y-7) (x,y)→(x+2, y+7) Which coordinate notation is shown? A A' B C B' C' 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 (x,y)→(x+2, y-7) (x,y)→(x-2, y+7) (x,y)→(x-2, y-7) (x,y)→(x+2, y+7) Which coordinate notation is shown? A A' C B B' C' 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 (x,y)→(x+2, y-7) (x,y)→(x-2, y+7) (x,y)→(x-2, y-7) (x,y)→(x+2, y+7) Which coordinate notation is shown? A' A C' B' B C RECAP The process of mapping (moving) a preimage onto an image is called a: preimage transformation prime coordinate notation (x,y)→(x+4,y-3) What type of notation describes this translation (slide)? prime coordinate image preimage # units to the (x,y)→(x+4,y-3) This coordinate notation shows a translation left or right and units # up or down # units to the (x,y)→(x-2, y+7) This coordinate notation shows a translation left or right and units # up or down Final Question............. Use the coordinate notation to find the coordinates of the image. (Let x=5 and y=1 and solve) (5,1)→( -2, +7) (5,1)→( , ) (x,y)→(x-2, y+7) Preimage 5 ? Image 1 ? The End |

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