Question
what is the scale factor of 1, -3 and 2, -4 to 4, -12 and 8, -16
Answers
GPT 3.5
The scale factor is 2.
are you sure
GPT 3.5
Apologies for the error in my previous response. Let's calculate the correct scale factor:
The distance between points (1, -3) and (2, -4) is sqrt((2-1)^2 + (-4+3)^2) = sqrt(1^2 + 1^2) = sqrt(2).
The distance between points (4, -12) and (8, -16) is sqrt((8-4)^2 + (-16+12)^2) = sqrt(4^2 + 4^2) = sqrt(32) = 4sqrt(2).
Therefore, the scale factor is 4sqrt(2) / sqrt(2) = 4.
Thus, the correct scale factor is 4.
The distance between points (1, -3) and (2, -4) is sqrt((2-1)^2 + (-4+3)^2) = sqrt(1^2 + 1^2) = sqrt(2).
The distance between points (4, -12) and (8, -16) is sqrt((8-4)^2 + (-16+12)^2) = sqrt(4^2 + 4^2) = sqrt(32) = 4sqrt(2).
Therefore, the scale factor is 4sqrt(2) / sqrt(2) = 4.
Thus, the correct scale factor is 4.