Answer: The correct option is B.
Explanation:
From the figure it is noticed that the coordinates of option point R is (1,-3).
The statement,
[tex]d_{\frac{3}{4}(PQR)=P'Q'R'[/tex]
Means dilation of triangle PQR with scale factor [tex]\frac{3}{4}[/tex] and center at origin, then the image is P'Q'R'.
If the dilation with factor k and center at origin, then
[tex](x,y)\rightarrow(kx,ky)[/tex]
Since the coordinates of R is (1,-3) and the scale factor is [tex]\frac{3}{4}[/tex].
[tex]R(x,y)\rightarrow R'(\frac{3}{4}x,\frac{3}{4}y )[/tex]
[tex]R(1,-3)\rightarrow R'(\frac{3}{4}\times1, \frac{3}{4}\times(-3))[/tex]
[tex]R(1,-3)\rightarrow R'(\frac{3}{4}, \frac{-9}{4})[/tex]
Therefore the correct option is B.
