Question

circle t has a radius of 18 units and undergoes a dilation with a scale factor of 0.6 to form circle u. which statement best describes the effect of this dilation? the dilation maintained the size of circle t, so the radius of circle u is equal to the radius of circle t. the dilation enlarged circle t, making the radius of circle u larger than the radius of circle t. the dilation made circle u three times larger than circle t. the dilation reduced the size of circle t, making the radius of circle u smaller than the radius of circle t.

Explanation:

Step1: Recall dilation rule

When a figure undergoes dilation with a scale - factor \(k\), if \(k = 1\), the size is unchanged; if \(k>1\), the figure is enlarged; if \(0 < k<1\), the figure is reduced.

Step2: Analyze given scale - factor

Here, the scale - factor \(k = 0.6\). Since \(0<0.6 < 1\), the circle is reduced.

Answer:

The dilation reduced the size of circle \(T\), making the radius of circle \(U\) smaller than the radius of circle \(T\).