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Transformations on a Coordinate Plane

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TransformationsTransformations TypeDiagram A translation moves a figure left, right, up, or down A reflection moves a figure across its line of reflection to create its mirror image. A rotation moves a figure around a given point.

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Translations Translations can move left or right on the x-axis, and up or down on the y-axis

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Reflection A reflection moves a figure across its line of reflection to create its mirror image. Can be over the x or y axis, or even another line.A reflection moves a figure across its line of reflection to create its mirror image. Can be over the x or y axis, or even another line. Reflected over the yReflected over the y

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Reflection Reflected over the xReflected over the x

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Reflection This one is reflected over the -1 on the X.This one is reflected over the -1 on the X.

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Rotations A rotation moves a figure around a given point.A rotation moves a figure around a given point. Usually over the origin, but can be over any point.

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Use the given rule to transform the figure. Then describe the transformation. (4,5) (2,1) (4,1) Rule: (-x, -y) opposite of y’s Preimage Image (-4,-5) (-2,-1) (-4,-1) Rotates the figure 180° opposite of x’s

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Use the given rule to transform the figure. Then describe the transformation. (4,5) (2,1) (4,1) Rule: (y, -x) Switch x, make negative Preimage Image (5,-4) (1,-2) (1,-4) Rotates the figure 90° Clockwise Switch y, leave positive

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Use the given rule to transform the figure. Then describe the transformation. (4,5) (2,1) (4,1) Rule: (-y, x) Switch x, leave positive Preimage Image (-5,4) (-1,2) (-1,4) Rotates the figure 90° Counterclockwise Switch y, make negative

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How did this move? Translation, right 6 down 2

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How did this move? Reflection over X

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How did this move? Reflection over -1

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How did this move? Rotation, clockwise 90 degrees over x

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How did this move? Rotation, counter clockwise 90 degrees over (1,1)

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Transformations on a Coordinate Plane Review

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TransformationsTransformations TypeDiagram A translation moves a figure left, right, up, or down A reflection moves a figure across its line of reflection to create its mirror image. A rotation moves a figure around a given point.

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How did this move? Translation, right 6 down 2

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How did this move? Reflection over X

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How did this move? Reflection over Y -1

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How did this move? Rotation, clockwise 90 degrees over x What is the formula for 180 degree, clockwise, and counter clockwise rotations?

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11-4 Worksheet 1.Translation 4 units right, and 5 units down. 2.A reflection across the x-axis. 3.A rotation 90 degrees clockwise about the origin. A B C

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Assignment Pg 611 Questions 1-16

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Today’s Lesson: What: transformations (reflections)... Why: To perform reflections of figures on the coordinate plane. What: transformations (reflections)...

Today’s Lesson: What: transformations (reflections)... Why: To perform reflections of figures on the coordinate plane. What: transformations (reflections)...

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