Test 2 - Dilations (7.1)

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor and a center of dilation.

The scale factor indicates how much the figure will be enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

All dimensions of the quadrilateral are multiplied by 4, making it four times larger.

The new coordinates B' will be (-12, 0).

You can compare the dimensions and coordinates of the original figure and the image. If the dimensions are proportional and the shape remains the same, it has been dilated.

A scale factor of $$0.90$$ reduces the size of the figure to 90% of its original size.

Multiplication is used with the scale factor to determine the new coordinates of the figure.

The new coordinates will be A'(1, 1), B'(2, 2), and C'(3, 3).

The new coordinates will be (kx, ky).

No, a dilation does not change the shape; it only changes the size.