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Transformations

SOL 8.8

Students will be using the

8.8 Transformation Chart for Notes

Vocabulary

Horizontal Axis: x-axis

Vertical Axis: y-axis

Origin: intersection of the y-axis and the x-axis; point (0,0)

Reflection

Reflection Flip

It may say flip or reflect the figure over the horizontal axis or x-axis!

Reflection Flip

It may say flip or reflect the figure over the vertical axis or y-axis!

Transformation Keyword Shortcut Picture

Reflection FlipOver x:

Over y: Keep the y, change sign on x

Keep the x, change sign on y

Rotate

Rotate TurnIt may say

rotate about the origin…90 degrees

180 degrees

270 degrees

360 degreesThis was clockwise. How

do you think it will change for

counterclockwise?

Transformation Keyword Shortcut Picture

Reflection FlipOver x: Keep the x, change sign on y

Over y: Keep the y, change sign on x

Rotate Turn

90˚ CW:𝐶.𝑐𝑙𝑜𝑐𝑘𝑤𝑖𝑠𝑒 𝐶𝑙𝑜𝑐𝑘𝑤𝑖𝑑𝑒

90˚ CCW:

180˚:

switch the coordinates and change the sign of the 2nd new coordinate

switch the coordinates and change

the sign of the 1st new coordinate

Change the sign on both coordinates

Translate

Translate Slide

It may say translate the figure…

Right 3

Down 4

Left 2, Up 4

(4,-5) (right or left, up or down)

Transformation Keyword Shortcut Picture

Reflection FlipOver x: Keep the x, change sign on y

Over y: Keep the y, change sign on x

Rotate Turn

90˚ CW: switch the coordinates and change the sign of the 2nd new coordinate

𝐶.𝑐𝑙𝑜𝑐𝑘𝑤𝑖𝑠𝑒 𝐶𝑙𝑜𝑐𝑘𝑤𝑖𝑑𝑒

90˚ CCW: switch the coordinates and change the

sign of the 1st new coordinate

180˚: Change the sign on both coordinates

Translate SlideLeft (x) & down(y): - Right(x) & Up(y): +

Add ordered pairs and place to be

translated.

Dilate

Dilate Grow

Dilate 2

(0,3)(-1,1)(1,1)

(0,6)(-2,2)(2,2)

Dilate Shrink

Dilate ½

(-4,6)(-4,4)(-2,4)

(-2,3)(-2,2)(-1,2)

Transformation Keyword Shortcut Picture

Reflect FlipOver x: Keep the x, change sign on y

Over y: Keep the y, change sign on x

Rotate Turn

90˚ CW: switch the coordinates and change the sign of the 2nd new coordinate

𝐶.𝑐𝑙𝑜𝑐𝑘𝑤𝑖𝑠𝑒 𝐶𝑙𝑜𝑐𝑘𝑤𝑖𝑑𝑒

90˚ CCW: switch the coordinates and change the

sign of the 1st new coordinate

180˚: Change the sign on both coordinates

Translate SlideAdd ordered pairs and place to be

translated.Left (x) & down(y): - Right(x) & Up(y): +

DilateGrow or Shrink Multiply

Next, there will be some examples. These examples are just asking you too identify the transformation on appearance only.

Which transformation is demonstrated below?

Translation

Which transformation is demonstrated below?

Rotation

Which transformation is demonstrated below?

Reflection

Which transformation is demonstrated below?

Translation

Translate the point down 4!

Translate the point (-2,-3)!

Which quadrant will the “L” be in if it is rotated 180 degrees about the origin?

Which figure has been reflected over the vertical axis?

Choose the correct transformation for the situation below.

Reflection

Rotation

Translation

Dilation

Reflection

Rotation

Translation

Dilation

Choose the correct transformation for the situation below.

Choose the correct transformation for the situation below.

Reflection

Rotation

Translation

Dilation

Choose the correct transformation for the situation below.

Reflection

Rotation

Translation

Dilation

Choose the correct transformation for the situation below.

Reflection

Rotation

Translation

Dilation

Choose the correct transformation for the situation below.

Reflection

Rotation

Translation

Dilation

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