(2,3), (2,7), (6,7)
The fourth vertex of the rectangle would be (6,3).
The points plotted on the coordinate plane below are three verticals of a rectangle?
What are the coordinates of the fourth vertex of the rectangle?
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What are the coordinates of the fourth vertex of the rectangle (-1,-2.5) (-2,-2.5) (-2.5,-1) (-2.5,-2)
The rectangle has sides parallel to the x-axis and the y-axis. Therefore, the fourth vertex must be obtained by switching the x-coordinate or the y-coordinate of one of the given vertices.
We can see that the first two vertices have the same y-coordinate, and the last two vertices have the same x-coordinate. Therefore, we can switch the x-coordinate of the first or second vertex with the x-coordinate of the third or fourth vertex, or we can switch the y-coordinate of the third or fourth vertex with the y-coordinate of the first or second vertex.
To obtain a rectangle with positive x- and y-coordinates, we can switch the x-coordinate of the first vertex with the x-coordinate of the fourth vertex:
(-1,-2.5) (-2,-2.5) (-2.5,-1) (-2.5,-2)
Switch the x-coordinate of (-1,-2.5) with the x-coordinate of (-2.5,-2) to obtain:
(-2.5,-2.5) (-2,-2.5) (-2.5,-1) (-1,-2)
Therefore, the fourth vertex of the rectangle is (-1,-2).
We can see that the first two vertices have the same y-coordinate, and the last two vertices have the same x-coordinate. Therefore, we can switch the x-coordinate of the first or second vertex with the x-coordinate of the third or fourth vertex, or we can switch the y-coordinate of the third or fourth vertex with the y-coordinate of the first or second vertex.
To obtain a rectangle with positive x- and y-coordinates, we can switch the x-coordinate of the first vertex with the x-coordinate of the fourth vertex:
(-1,-2.5) (-2,-2.5) (-2.5,-1) (-2.5,-2)
Switch the x-coordinate of (-1,-2.5) with the x-coordinate of (-2.5,-2) to obtain:
(-2.5,-2.5) (-2,-2.5) (-2.5,-1) (-1,-2)
Therefore, the fourth vertex of the rectangle is (-1,-2).
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what the question to the points plotted on the coordinate plane below are three vertices of a rectangle
"What are the coordinates of the fourth vertex of the rectangle?" would be an appropriate question to ask if the points plotted on the coordinate plane are three vertices of a rectangle.
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