Answer:
The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.
Step-by-step explanation:
Vectorially speaking, the dilation of a vector with respect to a given point is defined by the following formula:
, (1)
Where:
- Point of reference.
- Original point.
- Dilated point.
- Scale factor.
If we know that , , , and , then the new coordinates of the triangle are, respectively:
The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.