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Part 1
Find the midpoint of the line segment with the endpoints A and B.
​A(1010​,44​); ​B(66​,22​)
Question content area bottom
Part 1
The midpoint of the line segment is left parenthesis 3 comma 7 right parenthesis

1 answer

To find the midpoint of the line segment with endpoints \( A(1010, 44) \) and \( B(66, 22) \), use the midpoint formula:

\[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]

Here, \( (x_1, y_1) = (1010, 44) \) and \( (x_2, y_2) = (66, 22) \).

Now, we can calculate the midpoint:

  1. Calculate the x-coordinate of the midpoint:

\[ \frac{x_1 + x_2}{2} = \frac{1010 + 66}{2} = \frac{1076}{2} = 538 \]

  1. Calculate the y-coordinate of the midpoint:

\[ \frac{y_1 + y_2}{2} = \frac{44 + 22}{2} = \frac{66}{2} = 33 \]

Thus, the midpoint of the line segment is:

\[ \left( 538, 33 \right) \]

So, the correct answer is:

The midpoint of the line segment is \( (538, 33) \).