Question

An artist is painting a mural of historical community events on a wall. She creates a grid for the wall with each unit measuring a meter. The first event is at coordinates (-2, 2), the second event at (2, 2), and the third event at (-2, 4). To form a rectangle, where should the fourth event be placed?

a) (2, 4)
b) (-2, 6)
c) (4, 4)
d) (4, 6)

Answer 1

The fourth event to complete the rectangle should be placed at (2, 4), which matches the x-coordinate of the second event and the y-coordinate of the third event, completing the rectangle.

Step-by-step explanation:

The question involves determining the coordinates for the fourth corner of a rectangle, given three coordinates of historical events on a mural. The first event is at (-2, 2), the second event is at (2, 2), and the third event is at (-2, 4). To form a rectangle, the fourth event should share the same x-coordinate as the second event (since it will be directly across from the first event on the y-axis) and the same y-coordinate as the third event (since it will be directly across from the second event on the x-axis).

Therefore, the coordinates for the fourth event to form a rectangle would be (2, 4), which is option a). This choice has the same x-coordinate (2) as the second event and the same y-coordinate (4) as the third event, thus completing the rectangle.