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find the other endpoint of the line segment with the given endpoint and midpoint. endpoint: (2,0), midpoint: (3,4)

User Dhirendra
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Answer:

To find the other endpoint of a line segment, given one endpoint and the midpoint, you can use the following formula:

Double the coordinates of the midpoint to get the coordinates of the missing endpoint.

Subtract the x-coordinate of the known endpoint from the first value to get the x-coordinate of the missing endpoint.

Subtract the y-coordinate of the known endpoint from the second value to get the y-coordinate of the missing endpoint.

Let’s apply this formula to your example. Given that one endpoint is (2,0) and the midpoint is (3,4), we can calculate as follows:

Double the coordinates of the midpoint: 2 * 3 = 6 and 2 * 4 = 8.

Subtract the x-coordinate of the known endpoint from 6: 6 - 2 = 4.

Subtract the y-coordinate of the known endpoint from 8: 8 - 0 = 8.

Therefore, the other endpoint is (4,8).

Please let me know if I can help you with anything else.

User Nabat Farsi
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