Question
How do you do this?
AB has endpoints A(-3,2) B(3, -2)
Find the coordinates of the midpoint of AB.
Find AB to the nearest tenth.
AB has endpoints A(-3,2) B(3, -2)
Find the coordinates of the midpoint of AB.
Find AB to the nearest tenth.
Answers
The mid-point has coordinates which are the averages of those of A and B:
M((-3+3)/2, (2-2)/2)
or
M(0,0)
The length of a segment is obtained by summing the squares of the difference of coordinates, and then take square-root, namely
D(AB)=sqrt((x2-x1)^2+(y2-y1)^2)
=sqrt((3-(-3))^2+(-2-2)^2)
=sqrt(36+4)
=sqrt(40)
=2sqrt(10)
M((-3+3)/2, (2-2)/2)
or
M(0,0)
The length of a segment is obtained by summing the squares of the difference of coordinates, and then take square-root, namely
D(AB)=sqrt((x2-x1)^2+(y2-y1)^2)
=sqrt((3-(-3))^2+(-2-2)^2)
=sqrt(36+4)
=sqrt(40)
=2sqrt(10)
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