Answer:
Option (1).
Step-by-step explanation:
Given question is incomplete: find the complete question in the attachment.
From the given figure, coordinates of the points A and B are (0, 2) and (2, 0) respectively.
Slope of line AB = [tex]\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]
[tex]m_{1}=\frac{2-0}{0-2}=-1[/tex]
When these points are dilated by a scale factor = 2, about the origin
Rule for the dilation → (x, y) → (kx, ky)
Where k = scale factor
Coordinates of the points A' and B' will be (0, 4) and (4, 0)
Slope of the line A'B' = [tex]\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]
[tex]m_{2}=\frac{4-0}{0-4}=-1[/tex]
Since [tex]m_{1}=m_{2}[/tex] , both the lines AB and A'B' will be parallel.
Therefore, option (1) will be the answer.
Answer:
The locations of A' and B' are A' (0, 4) and B' (4, 0); lines f and f' are parallel.
Step-by-step explanation:
