Question

Find the coordinates of the missing endpoint given that A(3,5) is the midpoint of RT and point R(9,7)?

Answer 1

To find the missing endpoint, use the midpoint formula by setting up two equations and solving for x and y.

Step-by-step explanation:

To find the coordinates of the missing endpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the two endpoints. In this case, the midpoint is (3,5) and one endpoint is (9,7). Let's call the missing endpoint (x,y). We can set up two equations based on the midpoint formula:

(9+x)/2 = 3

(7+y)/2 = 5

Simplifying these equations gives:

9+x = 6

7+y = 10

From here, we can solve for x and y. Subtracting 9 from both sides of the first equation gives x = -3. Subtracting 7 from both sides of the second equation gives y = 3. Therefore, the missing endpoint is (-3,3).