Question
Identify the option that shows an example of a dilation with scale factor of 2 given preimage A and image B.
Answers
GPT-4o mini
In a dilation with a scale factor of 2, every point in the preimage is moved away from the center of dilation by a distance that is twice its original distance from that center.
If point A is at coordinates \((x, y)\), the coordinates of point B after dilation with a scale factor of 2 centered at the origin (0, 0) would be:
\[
B = (2x, 2y)
\]
For example, if point A is at (1, 2), then after dilation we would find:
\[
B = (2 \times 1, 2 \times 2) = (2, 4)
\]
Thus, if point A were (1, 2), point B after the dilation with a scale factor of 2 would be (2, 4).
If you can provide specific options, I can help you identify which corresponds to this dilation effect.
If point A is at coordinates \((x, y)\), the coordinates of point B after dilation with a scale factor of 2 centered at the origin (0, 0) would be:
\[
B = (2x, 2y)
\]
For example, if point A is at (1, 2), then after dilation we would find:
\[
B = (2 \times 1, 2 \times 2) = (2, 4)
\]
Thus, if point A were (1, 2), point B after the dilation with a scale factor of 2 would be (2, 4).
If you can provide specific options, I can help you identify which corresponds to this dilation effect.