Question

Determine the scale factor used in the dilation of line segment AB, with a center point of dilation at the origin.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine the scale factor used in the dilation of line segment AB with a center point at the origin, we need to compare the lengths of the original line segment AB to the lengths of the dilated line segment.

If the length of the original line segment AB is x units and the length of the dilated line segment is k times the length of the original line segment, then the scale factor, k, can be calculated using the formula:

k = (length of dilated segment) / (length of original segment)

Let's say the length of the original line segment AB is 4 units and the length of the dilated line segment is 6 units.

k = 6 / 4
k = 1.5

Therefore, the scale factor used in the dilation of line segment AB with the center point at the origin is 1.5.