Question

ABCD is a rectangle with B(4, -1), C(-4, 2), and D(6, 2). Find the coordinates of A.

a) (6, -1)
b) (4, 2)
c) (6, -2)
d) (4, -2)

Answer 1

To find the coordinates of point A in rectangle ABCD, we use the fact that opposite sides in a rectangle are equal and parallel. Given the coordinates of B, C, and D, the coordinates of A are determined to be (-4, -1).

Step-by-step explanation:

The question asks for the coordinates of point A in a rectangle ABCD given the coordinates of B, C, and D. Since ABCD is a rectangle, opposite sides are equal in length and parallel. Points B and D have the same y-coordinate (-1), so A must also have this y-coordinate because it is directly across from point D. Points C and D have the same x-coordinate (-4), so A must also have this x-coordinate because it is directly across from point C. Therefore, the coordinates of A are (-4, -1).