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Transformations
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
Reflect over the x-axis
Reflect over the y-axis
Rotate
Rotate TurnWe will rotate
about the origin…
90 degrees
180 degrees
270 degrees
360 degreesThis was clockwise. How
do you think it will change for
counterclockwise?
Rotate TurnWe are still
rotating about the origin…90 degrees
180 degrees
270 degrees
360 degreesThis was counter
clockwise.
90° Counter Clockwise
180° Clockwise
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˚: Clockwise CounterClockwise
𝐶.𝑐𝑙𝑜𝑐𝑘𝑤𝑖𝑠𝑒 𝐶𝑙𝑜𝑐𝑘𝑤𝑖𝑑𝑒
180˚:
270˚:
1 adjacent quadrant
2 adjacent quadrants
3 adjacent quadrants
To the right To the
left
Translate
Translate Slide
It may say translate the figure…
Right 3
Down 4
Left 2, Up 4
(4,-5) (right 4, down 5)
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 SlideAdd or subtract from the appropriate
coordinate.
+(x) right/ -(x) left/ +(y) up/ -(y) down
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 all coordinates by the scale
factor
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 y-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
What happens with the image of the original figure for each
transformation?
Translation Reflection
Rotations Dilations
Same shape and size (congruent)
Same orientation
Same shape and size (congruent)
Different orientation
Same shape and size (congruent)
Different orientation
Same shape
DIFFERENT size (similar shape)
Same orientation
