Dilations and Scale Factors

The correct choice is 'It's a reduction; the scale factor is 1/3.' This indicates that the figure has been reduced to one-third of its original size, confirming a reduction rather than an enlargement.

The correct scale factor is 2, which means the dimensions of the object are doubled. This choice increases the size proportionally, while the other options either reduce the size or do not fit the requirement.

To find the image of the point (2, 0) after dilation by a scale factor of 3 from the origin, multiply each coordinate by 3: (2*3, 0*3) = (6, 0). Thus, the correct answer is (6, 0).

To find the image of the point (4, 3) after dilation by a scale factor of \frac{1}{2} from the origin, multiply each coordinate by \frac{1}{2}: (4 \times \frac{1}{2}, 3 \times \frac{1}{2}) = (2, 1.5). Thus, the correct answer is (2, 1.5).

To find the image of the endpoint (4, 5) after dilation by a scale factor of 2 from the origin, multiply each coordinate by 2: (4*2, 5*2) = (8, 10). Thus, the correct answer is (8, 10).

To find the image of the vertex (1, 2) after dilation by a scale factor of 4, multiply each coordinate by 4: (1*4, 2*4) = (4, 8). Thus, the correct answer is (4, 8).