Question

aidan and rick are drawing a map of the space used for a game of laser tag. three of the four vertices of the space are shown in the coordinate plane. the fourth vertex is 7 units directly east of vertex a. aidan says that the missing vertex should be at (9, 3). rick says aidan is incorrect. use the drop - down menus to show how rick can explain to aidan why he is incorrect. click the arrows to choose an answer from each menu. the fourth vertex is east of (-2, 3), so the choose_ is the same as in point a. to find the remaining coordinate, choose_. aidan choose_. the fourth vertex is located at choose_.

Explanation:

Step1: Identify the key property of east - west movement

Moving east in a coordinate plane changes the x - coordinate while the y - coordinate remains the same. Point A has coordinates $(-2,3)$, so the y - coordinate of the new point will be 3.

Step2: Calculate the new x - coordinate

The x - coordinate of point A is - 2. We move 7 units east, so we add 7 to the x - coordinate: $-2 + 7=5$.

Step3: Analyze Aidan's error

Aidan likely made an error in adding 7 to - 2. He might have thought $2 + 7 = 9$ instead of $-2+7 = 5$.

Answer:

The fourth vertex is east of $(- 2,3)$, so the y - coordinate is the same as in point A. To find the remaining coordinate, add 7 to the x - coordinate of point A. Aidan made an addition error. The fourth vertex is located at $(5,3)$.