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Dilation
Dilation is a nonrigid transformation that stretches or shrinks a figure. The image created by the dilation is similar to the original figure.
To dilate a polygon, we usually give mention of two quantities
Scale Factor
Center of Dilation
Scale Factor
Scale Factor
The scale factor of a dilation is the ratio of corresponding side lengths. In this course, the center of dilation will always be the origin.
Center of Rotation
Center of Rotation
The center of dilation is a fixed point on a plane. It is the starting point from which distances in a dilation are measured.
Dilation Calculation
To dilate a polygon, multiply the coordinate of each vertex by the scale factor, k, and connect the vertices
Rule: P(x, y ) ----> P'(kx, ky )
Example:
Scale Factor, k = 2
reimage P( 4, 1) ----> Image P'( 2*4, 2*1 ) = P'(8, 2)
Translation Using Desmos
Graphing Image of a Given Figure using the transformation
Instruction: Use the Desmos Calculator below, to prove the answers shown on the sheet below. Submit your image on the form posted in your Google classroom assignment folder.
Dilations-1oiqkuv.pdfPage updated
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