Lesson: Transformations P T

There are 4 major types of transformations There are 4 major types of transformations Rotations There are 4 major types of transformations Rotations Reflections There are 4 major types of transformations Rotations Reflections Translations There are 4 major types of transformations Rotations Reflections Translations Dilations How many major types of transformations are there? Translations are just shifts Translations are just shifts up Translations are just shifts up Up 6 Translations are just shifts up, down Translations are just shifts up, down Down 5 Translations are just shifts up, down, left Translations are just shifts up, down, left Left 3 Translations are just shifts up, down, left, and right Translations are just shifts up, down, left, and right right 4 Sometimes translations can be written like this Sometimes translations can be written like this (x+3,y+2) Sometimes translations can be written like this (x+3,y+2) This means Sometimes translations can be written like this (x+3,y+2) This means a right translation of 3 Sometimes translations can be written like this (x+3,y+2) This means a right translation of 3 Sometimes translations can be written like this (x+3,y+2) This means and a right translation of 3 an up translation of 2 Sometimes translations can be written like this (x+3,y+2) This means and a right translation of 3 an up translation of 2 Moving the point 4 places to the right Moving the point 4 places to the right Moving the point 4 places to the right is a plus 4 to the x value Moving the point 4 places to the right is a plus 4 to the x value (x+4, y) Moving the point 4 places to the left Moving the point 4 places to the left Moving the point 4 places to the left is a subtraction of 4 from x Moving the point 4 places to the left is a subtraction of 4 from x (x-4, y) (x+3, y) Right 3 ? Left 3 ? (x-3, y) Moving the point 4 places up Moving the point 4 places up is an addition of 4 to the y Moving the point 4 places up is an addition of 4 to the y (x, y+4) Moving the point 4 places down Moving the point 4 places down Moving the point 4 places down is a subtraction of 4 from the y Moving the point 4 places down is a subtraction of 4 from the y (x, y-4) Check all that apply (x-5, y-12) Right Up Down Left Check all that apply (x-3, y+1) Right 3 Right 1 Left 3 Left 1 Down 1 Up 3 Up 1 Down 3 Check all that apply (x+8, y+4) Right 8 Right 4 Left 8 Left 4 Down 4 Up 8 Up 4 Down 8 Which point is the Point A translated: correct answer? (x-2, y+1) H G I F A B E D C Right 2, Up 4 Left 1, Up 4 (x+2, y+4) ? (x-1, y+4) ? Match the translation Right 7, Down 3 Left 3, Up 2 (x-3, y+2) ? (x+7, y-3) ? Left 2, Down 1 Left 7, Up 3 (x-7, y+3) ? (x-2, y-1) ? A reflection flips the point over a line Translation Reflection Shifts ? Flips ? A reflection flips the point over a line A reflection flips the point over a line A y axis reflection A reflection flips the point over a line A y axis reflection would flip the point over the y axis A reflection flips the point over a line A y axis reflection would flip the point over the y axis A reflection flips the point over a line A y axis reflection So it is the same distance would flip the point on both sides over the y axis A reflection flips the point over a line 2 A y axis reflection So it is the same distance would flip the point on both sides over the y axis A reflection flips the point over a line 2 A y axis reflection So it is the same distance 2 would flip the point on both sides over the y axis A reflection flips the point over a line An x-axis reflection flips over the x-axis A reflection flips the point over a line An x-axis reflection flips over the x-axis A reflection flips the point over a line So that the point is the An x-axis reflection same distance from the flips over the x-axis x-axis A reflection flips the point over a line 3 So that the point is the An x-axis reflection same distance from the flips over the x-axis x-axis A reflection flips the point over a line 3 3 So that the point is the An x-axis reflection same distance from the flips over the x-axis x-axis Which point is point A reflected across the y-axis? Which point is point A reflected across the x-axis? A C B A reflection across the x axis also changes the sign of the y value A reflection across the x axis also changes the The point (-2, 3) reflected across the x axis would be sign of the y value A reflection across the x axis also changes the The point (-2, 3) reflected across the x axis would be sign of the y value (-2, -3) A reflection across the x axis also changes the The point (-2, 3) reflected across the x axis would be sign of the y value (-2, -3) Notice the sign of the y changes A reflection across the y axis changes the sign of the x The point (2,-3) reflected across the y axis would be A reflection across the y axis changes the sign of the x The point (2,-3) reflected across the y axis would be (-2, -3) A reflection across the y axis changes the sign of the x Notice the change in x The point (2,-3) reflected across the y axis would be (-2, -3) Point (-1,4) reflected across the y axis Point (-5,3) reflected across the x axis Point (5,7) reflected across the x axis (5, ( ( ,4) , ) ) A rotation is a turn Reflection Rotation Translation Turn ? Shift ? Flip ? In order to turn a point It is helpful to use the "L" shape. In order to turn a point It is helpful to use the "L" shape. In order to turn a point It is helpful to use the "L" shape. In order to turn a point It is helpful to use the "L" shape. In order to turn a point It is helpful to use the "L" shape. or you could draw the "L" like this In order to turn a point It is helpful to use the "L" shape. or you could draw the "L" like this To rotate the point 90 ^{∘} clockwise, turn the 'L'To rotate the point 90 ^{∘} clockwise, turn the 'L'To rotate the point 90 ^{∘} clockwise, turn the 'L'To rotate the point 90 ^{∘ }counter clockwise,turn the 'L' the other way To rotate the point 90 ^{∘ }counter clockwise,turn the 'L' the other way To rotate the point 90 ^{∘ }counter clockwise,turn the 'L' the other way turn the 'L' twice To rotate the point 180 ^{∘},turn the 'L' twice To rotate the point 180 ^{∘},once turn the 'L' twice To rotate the point 180 ^{∘},twice Point A rotated 180 ^{∘}C B D A Point A rotated 90 ^{∘} clockwiseC B D A Point A rotated 90 ^{∘} counter clockwiseC B D A A dilation enlarges or reduces an object. A dilation enlarges or reduces an object. We can use the "L" method again. A dilation enlarges or reduces an object. We can use the "L" method again. A dilation enlarges or reduces an object. We can use the "L" method again. A dilation enlarges or reduces an object. We can use the "L" method again. To enlarge by a factor of 2 just double the sides of the L A dilation enlarges or reduces an object. We can use the "L" method again. To enlarge by a factor of 2 just double the sides of the L A dilation enlarges or reduces an object. We can use the "L" method again. 4 2 To enlarge by a factor of 2 just double the sides of the L A dilation enlarges or reduces an object. We can use the "L" method again. 4 8 2 To enlarge by a factor of 2 just double the sides of the L A dilation enlarges or reduces an object. We can use the "L" method again. 4 8 2 4 To enlarge by a factor of 2 just double the sides of the L A dilation enlarges or reduces an object. We can use the "L" method again. 4 8 2 4 To enlarge by a factor of 2 just double the sides of the L A dilation enlarges or reduces an object. We can use the "L" method again. This is my new point 4 8 2 4 |

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