Answer:
R(19, 4)
Explanation:
Given the midpoint
to be (19.5, 9.5) with one ens point S as (20, 15), to get the coordinate of the other end point, we need to use the formula for calculating the midpoint of two coordinates.
for x coordinate;
X =
![(x_1+x_2)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/d0sk57ap6ff2bpambspxcp3tcpjlabwtvu.png)
for y coordinate;
Y =
![(y_1+y_2)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/bz3e8ma7o8tn3l3m2m421igtk19hrb15tg.png)
where (X, Y) is the midpoint
Given
= 20, and
= 15, we are to get the coordinate (
,
)
(X, Y) =
![[(x_1+x_2)/(2), (y_1+y_2)/(2)]](https://img.qammunity.org/2021/formulas/mathematics/high-school/qhb2qdtg6nxhriurqs0ust4zt7bjanlcwq.png)
(19.5, 9.5) =
![[(20+x_2)/(2), (15+y_2)/(2)]](https://img.qammunity.org/2021/formulas/mathematics/high-school/lpouo0avff9ug14p42ci3y3ng8mw6vg71o.png)
comparing the coordinates;
![(20+x_2)/(2) = 19.5\ and (15+y_2)/(2) = 9.5\\20+x_2 = 39\\x_2 = 39-20\\x_2 = 19\\\\Similarly;\\15+y_2 = 19\\y_2 = 19-15\\y_2 = 4](https://img.qammunity.org/2021/formulas/mathematics/high-school/4j5uays2r4v79dj6k18zt0jc8xonq17rf1.png)
The coordinate R will be (19, 4)