rran4kmi3b rran4kmi3b
  • 08-09-2021
  • Mathematics
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The midpoint of CD is M=(5. –1). One endpoint is C=(7.1).
Find the coordinates of the other endpoint, D.

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ceaseless
ceaseless ceaseless
  • 08-09-2021

Answer:

D = (3, -3)

Step-by-step explanation:

A key fact needed to solve this is that the distance of C to M is equal to the distance of D to M, as M is the midpoint of CD. Now considering the x and y distance of C to M separately, C is 2 to the right (7 - 5) and 2 up from (1 - -1) M. This means that, conversely, D has to be 2 to the left and 2 down from M. Doing the maths, we see that (5 - 2, -1 - 2) = (3, -3).

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