Question

Someone please help! Thank you!

Answer 1

The coordinates of point Q will be given by (11,-2)

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

`((3* 12 + 1 * 8)/(3 + 1), (3 * (- 6) + 1 * 10)/(3 + 1))`

= (11,-2) (Answer)