Answer:
The coordinates of point Q will be given by (11,-2)
Step-by-step explanation:
See the attached diagram.
Given that R is the midpoint of PS and Q is the midpoint of RS.
Therefore, the point Q divides the line PS in the ratio 3 : 1.
Now, coordinates of P are (8,10) and that of point S is (12,-6).
Therefore, the coordinates of point Q will be given by
[tex](\frac{3\times 12 + 1 \times 8}{3 + 1}, \frac{3 \times (- 6) + 1 \times 10}{3 + 1})[/tex]
= (11,-2) (Answer)
