DF is dilated from the origin to create D’F’ at D’ (0,3) and F’ (2.25, 1.5) what scale factor was DF dilated by 0.50.751.31.5

Answer:Option B.Step-by-step explanation:Consider the below diagram is attached with this question.From the below figure it is clear that the end points of line segment are D(0,4) and F(3,2).DF is dilated from the origin to create D’F’ at D’ (0,3) and F’ (2.25, 1.5). We need to find the scale factor.Let k be the scale factor. If the center of dilation is (0,0), then the scale factor is[tex]k=\dfrac{\text{x-coordinate of image}}{\text{corresponding x-coordinate of preimage}}[/tex]x-coordinate of point D = 4x-coordinate of point D' = 3[tex]k=\dfrac{3}{4}[/tex][tex]k=0.75[/tex]The scale factor is 0.75. Therefore, the correct option is B.