Question

TU has a midpoint at M(6,4). Point U is at (4,0). Find the coordinates of point T.

Answer 1

The coordinates of point T are approximately (8, 8)

Explanation:

To find the coordinates of point T, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M between two points U(xU, yU) and T(xT, yT) are given by:

xM = (xU + xT) / 2 yM = (yU + yT) / 2

We are given that the midpoint M has coordinates (6, 4) and point U has coordinates (4, 0). Let’s substitute these values into the midpoint formula:

6 = (4 + xT) / 2 4 = (0 + yT) / 2

Simplifying these equations, we get:

12 = 4 + xT 8 = yT

Subtracting 4 from both sides of the first equation, we find:

xT = 8

Therefore, the coordinates of point T are approximately (8, 8)

Answer 2

the coordinates of point T are (8, 8).

Explanation:

To find the coordinates of point T, we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates.

In this case, we know that point M(6,4) is the midpoint between point T and point U(4,0).

Step 1: Find the average of the x-coordinates:

(x1 + x2) / 2 = 6

(x + 4) / 2 = 6

x + 4 = 12

x = 12 - 4

x = 8

Step 2: Find the average of the y-coordinates:

(y1 + y2) / 2 = 4

(y + 0) / 2 = 4

y / 2 = 4

y = 4 * 2

y = 8