Question

A coordinate grid has these four points marked: (6, 6), (−10, 6), (−10, −4), and (6, −4). which point on a coordinate grid is at the center of these four points?

Answer 1

The center point of the coordinates (6, 6), (−10, 6), (−10, −4), and (6, −4) on a coordinate grid is (−2, 1), which is calculated by finding the average of the x-coordinates and y-coordinates of opposite corners.

Step-by-step explanation:

To find the center point of the four given coordinates on a coordinate grid, (6, 6), (−10, 6), (−10, −4), and (6, −4), we need to find the midpoint of the diagonals created by these points. These points form the vertices of a rectangle. The diagonals of a rectangle intersect at its center, so we can take the average of the x-coordinates and the y-coordinates of opposite corners to find the center point.

• The average of the x-coordinates (6 and −10) is (6 + (−10)) / 2 = −2.
• The average of the y-coordinates (6 and −4) is (6 + (−4)) / 2 = 1.

Thus, the center point of these four coordinates on the coordinate grid is (−2, 1).