Transformations

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Transformations
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There are four types

• Translations
• Reflections
• Rotation
• Dilation

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Vocabulary

• Congruent Size and shape are exactly the same
• Similar Shape is the same, but size is
  different.
• Proportional Lengths change at the same rate or
  scale.

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Translation

• Size and shape do not change. Only the location
• SLIDE

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Notation

• When transforming a shape, each new point is
  marked with
• A means A prime
• B means B prime

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What did we do to it to get to the new location?
Right 2, Up 5
A
A
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What did we do to it to get to the new location?
Left 4, Down 4
A
A
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Translating Shapes

• When translating shapes, translate each point.

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Which figure did we start with?
What did we do to it to get to the new location?
Right 8, Up 3
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• Which coordinate controls left and right
  movement? (x, )
• You can describe left and right movement as
  addition or subtraction to x.
• Example a translation of 4 units right could be
  described as (x 4, y)

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• The second coordinate (y) controls up and down
  movement. ( , y)
• You can describe up and down movement as addition
  or subtraction to y.
• Example a translation of 4 units up could be
  described as (x, y 4)

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Writing New Coordinates

• Moving left or right affects x
• right is Left is
• Moving up or down affects y
• up is down is

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Describe the translation in terms of x and y
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Example

• The point moves right 3 up 4 from the initial
  point (2, 3)

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3
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Describe the translation
(3, 5) (6, 5) (3, 8)
(5, 9) (8, 9) (5, 12)
(x 2, y 4)
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Describe the translation
(-7, 2) (-9, -3) (-5, 6)
(-2, -1) (-4, 0) (0, 3)
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Closure

• What is a good word to describe translation?

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Closure

• Is the resulting shape of a translation similar
  or congruent?

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Closure Describe the translation in terms of (x,
y)