Question

Olivia's house is located at the point (-5, 5) on a coordinate grid. Her best friend's house is at (2, 3) and the market is at (-5, -5). The movie theatre is directly below Jen's house. The distance from Jen's house to the movie theatre is half the distance from Olivia's house to the market.

Which could be the coordinates for the movie theatre?

A) (-3, 2) B) (-2, 2) C) (2, -2) D) (2, -3)

Answer 1

C (2, -2)

Explanation:

If the theatre is half the distance from Olivia's house to the market, then you would have to use the coordinate points.

From Olivia's house (-5,5) to the market (-5,-5) it is 10 coordinate points down (from 5 to -5, it is 10). Divide that by 2, it gives you 5. So then you would have to subtract 5 from Jen's y-coordinate (3-5=-2). Thus, giving you (2,-2).