A square with sides 5 units long is shown below. One corner is the point (2, 1). Find the other three corners.
A)D = (-3, 1); E = (2, -4); F = (-3, -4)
B)D = (-3, -4); E = (-3, 1); F = (2, -4)
C)D = (3, 4); E = (2, 4); F = (-3, -1)
D)D = (-4, -3); E = (-4, 2); F = (1, -3)
E)D = (2, -4); E = (-3, -4); F = (-3, 1)

Question

A square with sides 5 units long is shown below. One corner is the point (2, 1). Find the other three corners. 
A)D = (-3, 1); E = (2, -4); F = (-3, -4) 
B)D = (-3, -4); E = (-3, 1); F = (2, -4) 
C)D = (3, 4); E = (2, 4); F = (-3, -1) 
D)D = (-4, -3); E = (-4, 2); F = (1, -3) 
E)D = (2, -4); E = (-3, -4); F = (-3, 1)

Quizplus · Accepted Answer

Since one corner of the square is (2,1), we can assume that this corner is either D, E, or F. However, we know that the sides of the square are 5 units long, so the other three corners must lie on a circle with center (2,1) and radius 5. Using this information and a little bit of algebra, we can find that the other three corners are D=(-3,-4), E=(-3,1), and F=(2,-4). This matches with choice B.

A Square with Sides 5 Units Long Is Shown Below