Question

Devon places a rectangle in the coordinate plane so that the lower left vertex is at the origin, and the longer side of the rectangle is along the x-axis. Devon labels the coordinates of the upper left vertex as (0, a). What coordinates should Devon use to label the upper right vertex of the rectangle?

a) (0, 4a)
b) (4a, 0)
c) (4a, a)
d) (a, 4a)

Answer 1

The coordinates of the upper right vertex of the rectangle are (a,a).

Step-by-step explanation:

To label the upper right vertex of the rectangle, we know that the longer side of the rectangle is along the x-axis and the lower left vertex is at the origin (0,0). The upper left vertex is labeled as (0,a), so the y-coordinate is a. Since the longer side of the rectangle is along the x-axis, the y-coordinate of the upper right vertex will be the same as the y-coordinate of the upper left vertex, which is a.

Therefore, the coordinates of the upper right vertex of the rectangle are (a,a).