Use this coordinate grid.
A rectangle has vertices at
(2 , 7), (4 , 7), and (2 , 1).
What is the ordered pair of the fourth vertex?
The next pair would be (4, 1)
To find the fourth vertex of the rectangle, we need to use the properties of rectangles. In a rectangle, opposite sides are parallel and equal in length.
Since the first two vertices are (2, 7) and (4, 7), we can determine that the horizontal distance between these two points is 2 units. Therefore, the x-coordinate of the fourth vertex will be the same as the second vertex, which is 4.
Similarly, since the first and third vertices are (2, 7) and (2, 1), we can determine that the vertical distance between these two points is 6 units. Therefore, the y-coordinate of the fourth vertex will be the same as the third vertex, which is 1.
Thus, the ordered pair of the fourth vertex is (4, 1).
To find the fourth vertex of the rectangle, we can use the properties of rectangles. In a rectangle, opposite sides are equal in length and parallel to each other.
In this case, we know three vertices of the rectangle: (2, 7), (4, 7), and (2, 1).
If we observe the given coordinates, we can see that the first two vertices have the same y-coordinate (7), indicating that they lie on a horizontal line. Similarly, the first and third vertices have the same x-coordinate (2), indicating that they lie on a vertical line.
To find the fourth vertex, we need to find the point that is on both the horizontal line with a y-coordinate of 7 and the vertical line with an x-coordinate of 2.
The fourth vertex will have an x-coordinate of 4 (since the opposite sides are equal). So, we need to find the point on the vertical line (x = 2) that has a y-coordinate of 7.
Therefore, the ordered pair of the fourth vertex is (2, 7).