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:

Dilation is a transformation that changes the size of a figure. When the scale factor \(k> 1\), the dilation is an enlargement. The formula for dilation is \((x,y)\to(kx,ky)\) if the center of dilation is at the origin. Here, the scale factor \(k = 2\). For any side length \(l\) of \(\triangle RST\), the corresponding side length \(l'\) of \(\triangle R'S'T'\) is given by \(l'=k\times l\). Since \(k = 2>1\), each side of \(\triangle R'S'T'\) is twice as long as the corresponding side of \(\triangle RST\).

Answer:

the dilated image