Question

△rst is dilated by a scale factor of 2 to form its image, △rst. when the scale factor is greater than 1, the original figure is closer to the center of dilation. which figure is larger? the original figure the dilated image

Explanation:

Step1: Understand dilation

Dilation is a transformation that changes the size of a figure. When the scale factor \(k> 1\), the image is an enlargement.

Step2: Analyze the scale factor

Here, the scale factor \(k = 2>1\). For a dilation with scale factor \(k\), if \(k>1\), the dilated image \(\triangle R'S'T'\) is larger than the original figure \(\triangle RST\).

Answer:

the dilated image