the ordered pairs (2,3), (2,6) and (6,6) are coordinates of three of the vertices of a rectangle. What are the coordinates of the ordered pair that represents the fouth vertex?
(3,6), (6,3), (3,2) or (3,3)
I would plot these, your teacher is just too easy. I would complain.
To determine the coordinates of the fourth vertex of the rectangle, we need to find the missing ordered pair that completes the rectangle.
In a rectangle, opposite sides are equal in length and parallel to each other. Additionally, the diagonal connecting the two opposite vertices is of equal length to the other diagonal.
Let's analyze the given ordered pairs to see which one satisfies these conditions:
1) (3,6): If this were the fourth vertex, the sides of the rectangle would be 4 units and 3 units in length. However, the sides should be of equal length.
2) (6,3): If this were the fourth vertex, the sides of the rectangle would be 4 units and 3 units in length. However, the sides should be of equal length.
3) (3,2): If this were the fourth vertex, the sides of the rectangle would be 4 units and 3 units in length. However, the sides should be of equal length.
4) (3,3): If this were the fourth vertex, the sides of the rectangle would be 3 units and 3 units in length, which satisfies the condition of having equal sides.
Therefore, the answer is (3,3).