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Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint (-9.9) and Midpoint (10,0) A (0.5.5) B (0,5) C (29,-9) D (-9.5, 4.5)​

Respuesta :

Answer: C (29,-9). Explanation: Two the endpoint of the line, find the difference between the midpoint’s x and y and the end point’s x and y, and you add that to the midpoint.
raphealnwobi

The other endpoint of the given line segment is (29, -9).

If O(x, y) is the midpoint between the line segment AB with end points A(x₁, y₁) and B(x₂, y₂). The coordinate of the midpoint is:

x = (x₁ + x₂)/2; y = (y₁ + y₂)/2

Let A(x, y) be the other end point. Since one end point is (-9, 9) and Midpoint (10,0), hence:

10 = (x + (-9))/2

20 = x - 9

x = 29

0 = (y + 9)/2

0 = y + 9

y = -9

Therefore the other endpoint of the given line segment is (29, -9).

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