Determine the scale factor used in the dilation of line segment AB , centered at the origin. (1 point) Responses 14 Start Fraction 1 over 4 End Fraction −4 negative 4 2 2 4
Image shows a line segment between 1, -3 and 2, -4. Then shows another line segment between 4, -12 and 8, -16
The original line segment AB goes from point (1, -3) to point (2, -4). The new line segment goes from point (4, -12) to point (8, -16).
To determine the scale factor used in the dilation, we can compare the change in coordinates.
The x-coordinate of point B changed from 2 to 8, meaning it was multiplied by 4.
The y-coordinate of point B changed from -4 to -16, meaning it was multiplied by 4 as well.
Since both the x-coordinate and y-coordinate were multiplied by 4, the scale factor used in the dilation is 4.