Question

A geometric figure is dilated by a scale factor of four over three with the origin as the center of dilation. Which of the following algebraic representations best describes a dilation?

a) English
b) Mathematics
c) Physics
d) Other

Answer 1

A dilation is a transformation that changes the size of a geometric figure. When dilating a figure by a scale factor of four over three with the origin as the center of dilation, each coordinate of the figure is multiplied by the scale factor.

Step-by-step explanation:

A dilation is a transformation that changes the size of a geometric figure. When a figure is dilated by a scale factor of four over three with the origin as the center of dilation, each coordinate of the figure is multiplied by the scale factor. In this case, the algebraic representation of the dilation would be: x' = (4/3)x and y' = (4/3)y, where (x', y') are the coordinates of the dilated figure and (x, y) are the coordinates of the original figure.