Transformations SOL 7.8. Vocabulary Horizontal Axis Horizontal Axis: x-axis Vertical Axis Vertical Axis: y-axis Origin Origin: intersection of the y-axis.

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Presentation transcript:

Transformations SOL 7.8

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

Reflection FLIP

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!

TransformationKeywordShortcutPicture ReflectionFlip Over x: Over y: Keep the y, change sign on x Keep the x, change sign on y

Rotate Turn

Rotate Turn It may say rotate about the origin… 90 degrees 180 degrees 270 degrees 360 degrees This was clockwise. How do you think it will change for counterclockwise?

TransformationKeywordShortcutPicture ReflectionFlip Over x: Keep the x, change sign on y Over y: Keep the y, change sign on x RotateTurn 90˚ CW: 90˚ CCW: 180˚: switch the coordinates and change the sign of the 2 nd new coordinate switch the coordinates and change the sign of the 1st new coordinate Change the sign on both coordinates

Translate SLIDE

Translate Slide It may say translate the figure… Right 3 Down 4 Left 2, Up 4 (4,-5) (right or left, up or down)

TransformationKeywordShortcutPicture ReflectionFlip Over x: Keep the x, change sign on y Over y: Keep the y, change sign on x RotateTurn 90˚ CW: switch the coordinates and change the sign of the 2 nd new coordinate 90˚ CCW: switch the coordinates and change the sign of the 1st new coordinate 180˚: Change the sign on both coordinates TranslateSlide Left (x) & down(y): - Right(x) & Up(y): + Add ordered pairs and place to be translated.

Dilate SHRINK GROW

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)

TransformationKeywordShortcutPicture ReflectFlip Over x: Keep the x, change sign on y Over y: Keep the y, change sign on x RotateTurn 90˚ CW: switch the coordinates and change the sign of the 2 nd new coordinate 90˚ CCW: switch the coordinates and change the sign of the 1st new coordinate 180˚: Change the sign on both coordinates TranslateSlide Add ordered pairs and place to be translated. Left (x) & down(y): - Right(x) & Up(y): + Dilate Grow 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.

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