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