Question

Three of the vertices of a square are the points whose coordinates are (2, 3), (2, 6), and (5, 3). What are the coordinates of the fourth vertex?

Answer 1

the coordinates of the fourth vertex is (5,6)

Explanation:

Three of the vertices of a square are the points whose coordinates are (2, 3), (2, 6), and (5, 3).

All the sides are equal in a square.

LEts find the distance between (2, 3) and (2, 6)

To find the distance we subtract the y values

`6-3=3`

Side length is 3

To get the fourth vertex, we add 3 with (5,3) on y

(5,3+3) is (5,6)

the coordinates of the fourth vertex is (5,6)

Answer 2

(5,6)

Explanation:

The vertices graph at the points (2,3) and (2,6) to make one side of the square.

The third vertex (5,3) is on the same level as (2,3). This means the fourth vertex will be on the same level as (5,3) and (2,6). The fourth point is (5, 6).