Dilations.

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Presentation transcript:

Dilations

DIlations A dilation produces an image that is the SAME SHAPE, but not the SAME SIZE A dilation is SIMILAR to the original image

Scale Factor A Scale Factor is a ratio which shows if the dilation makes the image smaller or bigger If the ratio is over 1, the image gets bigger If the ratio is under 1, the image gets smaller If the scale factor is 3, it is written ( 3x, 3y) This means you would multiply the x and y coordinates by 3 (3,5) would become (9,15)

Dilations If triangle ABC has vertices of A( 0,2) B(4,4) and C( -2,4) If it is dilated with a scale factor of 2 A(0,2) becomes A(0,4) B ( 4,4) becomes B( 8,8) C( -2,4) becomes C( -4,8)

Dilations If triangle ABC has vertices of A( 0,2) B(4,4) and C( -2,4) If it is dilated with a scale factor of ½ Either multiply every number by ½ or divide by its recipricol 2 A(0,2) becomes A(0,1) B ( 4,4) becomes B( 2,2) C( -2,4) becomes C( -1,2)