Answer:
Option C.
Step-by-step explanation:
The vertices of triangle PQR are P(3, −6), Q(6, −9), and R(−15, 3).
It is given that triangle PQR dilated by a scale factor of 3 to obtain triangle P′Q′R′.
We know that a figure and its image after dilation are similar. It means triangle PQR and triangle P′Q′R′
If a figure dilated by factor k about the origin then
PQR dilated by a scale factor of 3, so
Using this rule we get
The vertices of image are P'(9,-18), Q'(18,-27) and R'(-45,9).
Therefore, the correct option is C.