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find the other endpoint of the line segment with the given endpoint and mid point 1.Endpoint: (2, 5), midpoint: (5, 1)
2. Endpoint (5,2) midpoint (-10,-2)
3. endpoint (9,-10), midpoint: (4,8)
4. endpoint: (-9,7) midpoint: (10,-3)
5. endpoint: (-6,4) midpoint: (4,8)

Sagot :

adioabiola

The endpoint of the line segments in each scenario are below;

  1. we have: (8,-3)
  2. we have: (-25,-6)
  3. we have: (-1,26)
  4. we have: (29,-13)
  5. we have: (14,12)

From straight line geometry, it is evident that the midpoint coordinates is given as follows;

x = (x2 + x1)/2

x = (x2 + x1)/2y = (y2 + y1)/2

Consequently, the other endpoint coordinates, x2 and y2 can be calculated as follows;

x2 = 2x - x1

x2 = 2x - x1y2 = 2y - y1

Therefore,

For Situation 1:

x2 = (2×5) - 2

x = 8

y2 = (2×1) - 5

y2 = -3.

Therefore, we have: (8,-3)

For Situation 2:

  • x2 = (2×-10) - 5

x = -25

  • y2 = (2×-2) - 2

y2 = -6.

Therefore, we have: (-25,-6)

For Situation 3:

  • x2 = (2×4) - 9

x = -1

  • y2 = (2×8) - (-10)

y2 = 26.

Therefore, we have: (-1,26)

For Situation 4:

  • x2 = (2×10) - (-9)

x = 29

  • y2 = (2×-3) - 7

y2 = -13.

Therefore, we have: (29,-13)

For Situation 5:

  • x2 = (2×4) - (-6)

x = 14

  • y2 = (2×8) - 4

y2 = 12.

Therefore, we have: (14,12)

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