Question

ABCD is a square on a cartesian plane. Points A, B, and C of the square have coordinates (2, 2), (3, 2), and (3, 1), respectively. Find the coordinates of point D.

• A. (3, 3)
• B. (4, 1)
• C. (2, 1)
• D. (2, 3)

Answer 1

The correct option is C (2, 1)

The coordinates of point A are (2, 2).
The coordinates of point B are (3, 2).
The coordinates of point C are (3, 1).
Let’s plot these coordinates on a cartesian plane.


The side length of this square is 1 unit.
In order to complete the square, we need to move 1 unit to the left from point C on the x-axis.
So, the value of the x-coordinate for point D will reduce by 1 unit from 3 to 2 and the y-coordinate will remain the same.
Hence, the coordinates of point D will be (2, 1).