Question

A student graphs three of the four vertices of square ABCD. Which point could be the fourth vertex of the square? A (0, 0) B (3, 0) C (3, 3)

Answer 1

The point which could be the fourth vertex of the square is:

D (0,3)

Explanation:

Square--

A square is a polygon consisting of four sides such that all the four sides are of equal length.

The vertex of the square are as follows:

A(0, 0) , B (3, 0) , C (3, 3)

Now, the fourth vertex of the square is: D (0,3)

( Since this point will make a square with side length as 3 units ).

Answer 2

In order for it to be a square, we see that it has to have a distance of 3 from the points B and C, since the distance between A and B is 3. A square is a parallelogram, so AD needs to be parallel to BC. Hence, since the vector BC is (0,3), we have that the vector AD is also (0,3). So, adding the coordinates of the vector to A, we get that D=(0,3).