PSAT Math Multiple-Choice Question 285: Answer and Explanation

Question: 285

A park is in the shape of a square with side lengths of 175 yards. One corner of the park is on the coordinate plane as (-50,?-50). What could be two coordinates of the square?

• A. (-50, -125),(-50,125)
• B. (-50, 125), (125,-50)
• C. (50, 50), (-50, 50)
• D. (50, 50), (50, -50)

Correct Answer: B

Explanation:

The correct solutions are (-50, 125), (125, -50) because adding 175 to the x-coordinate or y-coordinate shows other points of the square. See Lesson: Similarity, Right Triangles, and Trigonometry.