nopenorpeoieis nopenorpeoieis
  • 26-02-2021
  • Mathematics
contestada

The endpoints of line segment. CD are C(-4,7) and D(0,-3). Find the midpoint of
line segment CD.

Respuesta :

erinna erinna
  • 03-03-2021

Given:

The endpoints of line segment CD are C(-4,7) and D(0,-3).

To find:

The midpoint of CD.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the midpoint formula, the midpoint of CD is

[tex]Midpoint=\left(\dfrac{-4+0}{2},\dfrac{7-3}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4}{2},\dfrac{4}{2}\right)[/tex]

[tex]Midpoint=\left(-2,2\right)[/tex]

Therefore, the midpoint of the line segment CD is (-2,2).

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