• Translations "slide" each point of a figure in the same direction and the same distance.

• Translations on the x-coordinate can move a figure left or right.

• Translations on the y-coordinate can move a figure up or down.

• We can represent these movements with addition and subtraction.​

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Translations

• The figure BEFORE the translation is performed is called the PRE-IMAGE.

• The PRE-IMAGE will have points such as A, B, C, etc.

• The figure AFTER the translation is performed is called the IMAGE.​

• The IMAGE will have points such as A', B', C', etc.​

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Translations

In the picture to the right, the Pre-image is the blue triangle.

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To move from the blue triangle to the red triangle, we moved 4 to the left, and 5 up.

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This rule can be written using the rule: (x,y) --> (x - 4, y + 5).​

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Translation Rules

• Reflections "flip" a figure over a line.

• Reflections produce a mirror image.​

• ​A reflection will produce an image that is the same shape and size as the pre-image.

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Reflections

• The figure BEFORE the reflection is performed is called the PRE-IMAGE.

• The PRE-IMAGE will have points such as A, B, C, etc.

• ​

• The figure AFTER the reflection is performed is called the IMAGE.​

• The IMAGE will have points such as A', B', C', etc.

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Reflections

Reflection Rules