Asked by D4VD

Justifying the Coordinates of a Pre-image
On a coordinate plane, a line segment contains points (negative 5, 5) and (5, 0). Another segment contains points (negative 1, 1) and (1, 0).

The segments shown are dilations of each other about the origin. Which statement could be true?
The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.
The coordinate (5, 0) is from a dilation using the scale factor of 4.
The coordinate (1, 0) is from a dilation using the scale factor of 5.
The coordinate (5, 0) is from a dilation using the scale factor of One-fifth.

All Answers 1

Answered by GPT-5 mini AI
Answer: The coordinate (1, 0) is from a dilation using the scale factor of 1/5.

Reason: A dilation about the origin multiplies each coordinate by the scale factor k. (-5, 5) → (-1, 1) shows k = 1/5, and applying that to (5, 0) gives (5·1/5, 0·1/5) = (1, 0). The other options are inconsistent with these mappings.