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Reflections
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Reflection Mirror image over the x axis or the y axis
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Reflection Size does not change, shape may or may not change in orientation.
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Reflected over y axis
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Reflected over x axis
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Reflected over y axis y coordinates stay the same
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Reflected over y axis x coordinates are opposite
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Reflected over x axis
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Reflected over x axis x coordinates stay the same
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Reflected over x axis y coordinates are opposite
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Reflect over y axis
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Reflect over x axis
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A B C D
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This Guy is a Jerk!
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What do you notice about your new coordinates?
If reflecting over the y axis, the y coordinates will stay the same and the x coordinates will be opposite The same is true for reflecting over the x axis. The x coordinates will stay the same and the y coordinates will be opposite.
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Write the coordinates of the new shape reflected over the x axis
Original Shape: A (-2, 5) B (-5, 5) C (-3, 2) Reflected Shape A’ ( , ) B’ ( , ) C’ ( , )
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Write the coordinates of the new shape reflected over the y axis
Original Shape: A (-2, 5) B (-5, 5) C (-3, 2) Reflected Shape A’ ( , ) B’ ( , ) C’ ( , )
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What if the shape is located on the line of reflection?
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Reflect over the y axis
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Reflect over the x axis
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Reflecting Over Other Lines
x = 4 Note: When reflecting over a line that is not the x or y axis, we cannot use the opposite coordinate rule.
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Reflecting Over Other Lines
y = -2 Note: When reflecting over a line that is not the x or y axis, we cannot use the opposite coordinate rule.
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Closure What is the difference between a translation and a reflection?
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Closure Is the resulting transformation of a shape similar or congruent?
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