Laura is designing a rectangular porch for her house on her scale drawing the vertices of the rectangle are (2,7),(8,7), and (2,9). What are the coordinates for the fourth vertex
(8,9)(7,9)(7,2)(2,8)
The fourth vertex must have the same y-coordinate as the other two vertices on the top edge of the rectangle (which is 9). Therefore, the fourth vertex must have an x-coordinate of 8 (since the x-coordinate of the other top vertex is 8). So the coordinates for the fourth vertex are (8,9).
To find the fourth vertex of the rectangle, we need to identify the missing coordinate.
Given the vertices (2,7), (8,7), and (2,9), we can see that the first two points have the same y-coordinate (7), meaning they lie on a horizontal line.
The missing coordinate needs to have the same x-coordinate as the third point (2) and the same y-coordinate as the second point (7).
Therefore, the missing coordinate is (2, 7).
Thus, the coordinates for the fourth vertex are (2, 7).