Introduction to Transformations

What is a transformation?

• The reciprocal.
• When you multiply the numbers in front and add the exponents.
• When you change the variables you are using in a math problem.
• The movement of objects in a coordinate plane.

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What is a translation?

• When you turn an object around a point.
• When you slide an object from one place to another.
• When you flip or mirror an object across a line.
• When you resize an object.

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What is a rotation?

• When you turn an object around a point.
• When you slide an object from one place to another.
• When you flip or mirror an object across a line.
• When you resize an object.

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What is a reflection?

• When you turn an object around a point.
• When you slide an object form one place to another.
• When you flip or mirror an object across a line.
• When you resize an object.

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What is a dilation?

• When you turn an object around a point.
• When you slide an object from one place to another.
• When you flip or mirror an object across a line.
• When you resize an object.

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Identify the transformation from ABCD to A'B'C'D'.

• Translation
• Reflection across the y-axis
• Reflection across the x-axis
• 90^o counter clockwise Rotation

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Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation
• 90^o counter clockwise rotation
• Reflection across the y-axis
• Reflection across the x-axis

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Write a rule for the translation.
(hint - notice the prime markings)

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

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Identify the transformation.

• Reflection across y-axis
• 90 Rotation counter clockwise
• Translation 5 units left, 1 unit up.
• Translation 5 units right, 1 unit down

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Point (-5,2) is reflected over the y axis.  Where is the new point located?

• (5,2)
• (-5,-2)
• (-5,2)
• (5,-2)

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