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Sagot :
Answer:
(1,0)
Step-by-step explanation:
Given
[tex]H = (-2,2)[/tex]
[tex]I = (4,3)[/tex]
[tex]J = (4,-2)[/tex]
[tex]K = (-2,-3)[/tex]
Required
The midpoint of the diagonals
Midpoint is calculated as:
[tex]M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
For H and J, the midpoint is:
[tex]M = (\frac{-2+4}{2},\frac{2-2}{2})[/tex]
[tex]M = (\frac{2}{2},\frac{0}{2})[/tex]
[tex]M = (1,0)[/tex]
For I and K, the midpoint is:
[tex]M = (\frac{4 - 2}{2},\frac{3-3}{2})[/tex]
[tex]M = (\frac{2}{2},\frac{0}{2})[/tex]
[tex]M = (1,0)[/tex]
The midpoint of both diagonal is: (1,0)
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