Final answer:
The coordinates of vertex R' after the dilation of triangle QPR with a scale factor of 1/2 are obtained by multiplying the original coordinates of R by 1/2.
Step-by-step explanation:
To find the coordinates of vertex R' after triangle QPR is dilated by a scale factor of 1/2 with the center of dilation at the origin, you multiply the coordinates of vertex R by the scale factor.
If the original coordinates of vertex R are (x, y), then the coordinates of vertex R' will be (1/2 * x, 1/2 * y). Therefore, if R had coordinates (a, b), the coordinates of R' after the dilation would be (1/2 * a, 1/2 * b).