Since point \(\purple{M}\) is the midpoint of point \(\blue{A}\) and point \(\green{B}\), we can find the coordinates of point \(\green{B}\) by doubling the coordinates of point \(\purple{M}\) and then subtracting the coordinates of point \(\blue{A}\).
So, let's double the x-coordinate of point \(\purple{M}\) and subtract the x-coordinate of point \(\blue{A}\):
\(2 \cdot 3 - (-1) = 6 + 1 = \boxed{7}\)
Next, let's double the y-coordinate of point \(\purple{M}\) and subtract the y-coordinate of point \(\blue{A}\):
\(2 \cdot 5.5 - 8 = 11 - 8 = \boxed{3}\)
Therefore, the coordinates of point \(\green{B}\) are \(\boxed{(7, 3)}\).
Point
\[\blue{A}\] is at
\[\blue{(-1, 8)}\] and point
\[\purple{M}\] is at
\[\purple{(3, 5.5)}\].
Point
\[\purple{M}\] is the midpoint of point
\[\blue{A}\] and point
\[\green{B}\].
What are the coordinates of point
\[\green{B}\]?
1 answer
1 answer