g-1 dilations: non-rigid transformations notes€¦ · g-1 dilations: non-rigid transformations...
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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
𝟐𝒙,
𝟑
𝟐𝒚).
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