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Chapter 8 (fyi....any picture that isn't licked is a picture that i have created myself) 8.1 Dilations and Scale Factors Objectives- -With a segment and a point constuct a dilation with a scale factor -Make a dilation of a closed plane figure

Definitions- Dilation-A traslation that is not rigid, they keep the shape of a figure but the change size, it is a point on a coordinate plane that can be found the timesing the x- and y-coordinate of a point by the same number n...this is the equation you would form to get a dilation.... D(x,y)=(nx,ny) The d just meaning that the number you will get by timesing x,y by n...or that the image found will be the dilation....the (x,y) is just the origanal x and y intercepts and he (nx,ny) is the origanal point multipulied by a scale factor(definition below) Scale Factor-The number that is multipuled to get the new image... Center of Dilation---The point that is in a dilation through which every line connecting a preimage point to an image point passes

Example--- say you are given the point:(10,6) and you were asked to make a dilation of this figure...and you are given a scale factor of: 9 This is what you would do org.equation D(x,y)=(nx,ny) fill in... D(10,6)=(9x10,9x6)...because you multipul both intercept by 9 type into calculator you will get D(10,6)=(90,54)

More Definitions--- Contraction--A dilation is a contraction if the dilation reduces the size of the image Expansion--A dilation is a expansion if the dilation increases the size of the image

8.2 click here-