1 / 8

Transformations

Transformations. Translations, Reflections, Rotations & Dilations Notes for Foldable. Translations. Common name: Slide (horizontally or vertically or both) Rule: Add each point in the figure to a given point Example: Translate ∆ ABC by (3,-2). Original Points:

vicki
Télécharger la présentation

Transformations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Transformations Translations, Reflections, Rotations & Dilations Notes for Foldable

  2. Translations Common name:Slide(horizontally or vertically or both) Rule:Add each point in the figure to a given point Example:Translate ∆ABC by (3,-2). Original Points: A (-6,1) B (-1, -1) C (-3, 3) (Graph this on your grid ) +(3,-2)+(3,-2)+ (3,-2) New points A’ (-3, -1) B’ (2, -3) C’ (0, 1)

  3. Reflections Common name:Flip (over the x-axis or y-axis) Rules: To reflect a point over the x-axis, keep the original x-coordinate and multiply the y-coordinate by -1. Example: A (4, -3) A’ (4, 3) To reflect a point over the y-axis, keep the original y-coordinate and multiply the x-coordinate by -1. Example: A (4, -3) A’ (-4, -3)

  4. Reflection Example Choose one to graph in your foldable: Graph ∆PQR with vertices of: P(2, 1) Q(7, 3) R(3, 5) Example 1: Reflect ∆PQR over the x-axis P’(2, -1) Q’(7, -3) R’(3, -5) Example 2:Reflect ∆PQR over the y-axis P’(-2, 1) Q’(-7, 3) R’(-3, 5)

  5. Rotations Common name:Turn Rules for rotating about the origin: (x, y) (-x, -y) 180˚ clockwise or counter-clockwise (x,y) (y, -x) 90˚ clockwise 270˚ counter-clockwise (x, y) (-y, x) 90˚ counter-clockwise 270˚ clockwise

  6. Rotation Examples Graph ∆USA with vertices at U (3, 2) S(6, 3) and A(4, 6) Now rotate it 90˚counter-clockwise about the origin. U’ (-2, 3) S’ (-3, 6) A’ (-6, 4) Now rotate the original 180˚ about the origin. U” (-3, -2) S” (-6, -3) A” (-4, -6) Lastly, rotate the original 270˚ counter-clockwise about the origin. U”’ (2, -3) S”’ (3, -6) A”’ (6, -4)

  7. Dilations Common name: Enlarge or Shrink Dilate means “to make wide or larger.” Dilations change the size, but not the shape of a figure. A figure can be enlarged or reduced through dilation. Rule:When using the origin as the center of dilation, we multiply each point in an ordered pair by the scale factor. ***Scale factor greater than 1 = an enlarged figure ***Scale factor less than 1 = a smaller image

  8. Dilation Example Example: Graph rectangle MATH with vertices at: M (-3, 2) A (3, 2) T (-3, -2) H (3, -2) Now dilate MATH by a scale factor of 2 with the origin as the center of dilation. What are the vertices of the new image? Graph on your paper. M’ (-6. 4) A’ (6, 4) T’ (-6, -4) H’ (6, -4)

More Related