Question

Find the coordinates of the midpoint of TU for T(3,1) and U(5,3)

Answer 1

Answer:  (4,2)

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The given points are T(3,1) and U(5,3)

The x coordinates of these given points are 3 and 5. Add them up to get 3+5 = 8. Then cut this in half getting 8/2 = 4. This is the x coordinate of the midpoint.

The y coordinates are 1 and 3. They add to 1+3 = 4. Then that cuts in half to get 4/2 = 2. This is the y coordinate of the midpoint.

The midpoint is (4,2)

Effectively, we just used the midpoint formula

$(x_m, y_m) = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)$

In short: add the corresponding coordinates, then divide by 2.