Answer :
The midpoint of A and B is (Xa , Yb) = (-4,1) and the midpoint of C and D is (Xc , Yd) = (4 , 6)
What is midpoint?
- A location in the middle of a line connecting two points is referred to as the midpoint.
- The midpoint of a line is located between the two reference points, which are its endpoints.
- The line that connects these two places is split in half equally at the halfway. In addition, the halfway is reached if a line is drawn to divide the line that connects these two places.
A(-3,5) and B(-5, -3)
(Xa , Yb) = [(x₁ + x₂ / 2) , (y₁ + y₂ / 2)]
= [(-3 + (-5) / 2) , (5 +(-3) / 2)]
= (-8/2 , 2/2)
(Xa , Yb) = (-4,1)
Hence, the midpoint of A and B is (Xa , Yb) = (-4,1).
C(7,9) and D(1,3)
(Xc , Yd) = [(x₁ + x₂ / 2) , (y₁ + y₂ / 2)]
= [(7+1/2) , (9+3 / 2)]
= ( 8/2 , 12/2)
(Xc , Yd) = (4 , 6)
Hence, the midpoint of C and D is (Xc , Yd) = (4 , 6).
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