Respuesta :
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
