173k views
2 votes
Point U has coordinates (4,0), and point T has a midpoint at M(6,4). Find the coordinates of point T.

A) (8,8)
B) (5,2)
C) (7,2)
D) (4,4)

User Happygoat
by
8.3k points

1 Answer

6 votes

Final answer:

To find the coordinates of point T, we can use the midpoint formula. The coordinates of T can be found by taking the average of the x-coordinates and the average of the y-coordinates of the given points.

Step-by-step explanation:

To find the coordinates of point T, we can use the midpoint formula. The coordinates of T can be found by taking the average of the x-coordinates and the average of the y-coordinates of the given points.

Let's call the coordinates of point T (x, y). Since the midpoint M is (6, 4) and the coordinates of point U is (4, 0), we can set up the following equations:

(4 + x) / 2 = 6

(0 + y) / 2 = 4

Solving these equations, we get x = 8 and y = 8. Therefore, the coordinates of point T are (8, 8).

User Vinayagam
by
7.9k points

No related questions found