Mathematics: The endpoints of line segment CD are C(-2,0) and D(4,9). Find the midpoint of line segment CD

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The endpoints of line segment CD are C(-2,0) - id2011506984, hernandezeileen20

billey32

28.03.2021

Given:

The endpoints of line segment CD are C(-2,0) and D(4,9).

To find:

The midpoint of CD.

Solution:

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Using the midpoint formula, the midpoint of CD is

$Midpoint=\left(\dfrac{-2+4}{2},\dfrac{0+9}{2}\right)$

$Midpoint=\left(\dfrac{2}{2},\dfrac{9}{2}\right)$

$Midpoint=\left(1,4.5\right)$

Therefore, the midpoint of the line segment CD is (1,4.5).

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