Given a dilation with the origin O (0, 0), by observation determine the scale factor "K." DO, K = (5, 0) (10, 0) What is the scale factor K? Answers 1/2, 2, 5

Answer: k = 2 Step-by-step explanation:Given :  a dilation with the origin O (0, 0), by observation determine the scale factor "K."Given the point  (5, 0) is dilated to point (10, 0) .We have to determine the scale factor K.DILATION is the process by which we can increase or decrease the size of an figure by a scaling factor.If scaling factor is greater than 1 then the figure increase its size and if scaling factor is less than 1 then the figure decrease its size.Since dilation with the origin O (0, 0) of point  (5, 0) is dilated to point (10, 0) . Thus, the size of line segment is increases and thus the scaling factor is given by  [tex]\text{scale factor}=\frac{\text{new figure}}{\text{original figure}}[/tex]Thus, for given [tex]\text{scale factor}=\frac{10}{5}=2[/tex]Thus, k = 2