G-1 Dilations: Non-Rigid Transformations Notes G-1 Dilations: Non-Rigid Transformations Notes What is page 1
G-1 Dilations: Non-Rigid Transformations Notes G-1 Dilations: Non-Rigid Transformations Notes What is page 2
G-1 Dilations: Non-Rigid Transformations Notes G-1 Dilations: Non-Rigid Transformations Notes What is page 3
G-1 Dilations: Non-Rigid Transformations Notes G-1 Dilations: Non-Rigid Transformations Notes What is page 4

G-1 Dilations: Non-Rigid Transformations Notes G-1 Dilations: Non-Rigid Transformations Notes What is

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  • G-1 Dilations: Non-Rigid Transformations Notes

    ➢ What is a DILATION? ▪ A transformation that _____________ or ___________ the size of an object with respect to a fixed

    point, called the ____________ of dilation, and a ____________ _____________, (k).

    o Example of a DILATION of ∆𝐴𝐵𝐶 with the center of dilation at point O.

    ➢ DILATIONS on a graph (where the center of dilation is the origin)

    *The Points*

    A( 2 , 1 ) → A’ ( ____ , ____ )

    B( 5, 1 ) → B’ ( ____ , ____ )

    C( 3, 6 ) → C’ ( ____ , ____ )

    ➢ Finding the Scale Factor

    General Rules for Dilations Centered at Origin

    GENERAL RULE: (x, y) → ( ____ , ____ )

    Enlargements: ___________ vs. Reductions: _____________

    How to find the SCALE FACTOR: k = ---------------------

    The SCALE FACTOR:

    k = _____

    RULE for this dilation:

    ____________________

  • Ex: Determine the scale factor and write a rule for each dilation. Is it an enlargement or reduction?

    a) B)

    ➢ Performing a Dilation ▪ You will be given a rule OR a scale factor, and you will change the all points just like we did for our other

    transformations.

    Ex: Graph the image of triangle FDE after a dilation with a scale factor of 1/5.

    Ex: Graph the image of quadrilateral NXSR under the dilation (x, y) → ( 𝟑

    𝟐 𝒙,

    𝟑

    𝟐 𝒚).

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