Given:
The triangle is ΔABC.
The coordinates of the ΔABC are A(1,1), B(1.5,3) and C(2,1).
To find the the coordinates of the point C after the dilation with a scale factor of 2 centered at the origin.
Formula:
The coordinate to dilate a factor of c from the origin is given by [tex](x,y) \rightarrow (cx,cy)[/tex]
Therefore,
Applying the above rule for C(2,1) is dilated by scale factor of 2 centered at origin we get,
[tex](2,1) \rightarrow (2(2),2(1))[/tex]
After simplification we get,
[tex](2,1) \rightarrow (4,2)[/tex]
Hence,
The coordinate of C after dilation is (4,2).
Thus, Option B is the correct answer.
