To find the fourth point that would complete a parallelogram using the three given points (0, 3), (2, 5), and (6, 5), we can use the properties of parallelograms.
A parallelogram has its opposite sides equal and parallel. We have two points that are on a horizontal line (2,5) and (6,5), and one point (0,3) above them.
- Consider the points (2, 5) and (6, 5): This is the top side of the parallelogram.
- Consider the point (0, 3): This is on the left side.
To find the fourth point, we want to connect this structure to maintain parallel sides. The point we are looking for will need to be horizontally aligned with (0, 3) to keep opposite sides parallel, and it will need to be vertically in line with (6, 5) for the other pair to also be parallel.
If we shift down from (2,5) to form the opposite vertex, we align with (0,3). To find the corresponding point across the horizontal line:
- The vertical distance between (2, 5) and (0, 3) is: \(5 - 3 = 2\).
- So we drop from (6,5) the same distance down to \(5 - 2 = 3\).
Thus, moving horizontally from (6, 5) to the left by 6 units, we find:
- The fourth point will be (6, 3).
Now, checking the options:
- (6, 3) is one of the given options.
So, placing the fourth point at (6, 3) will complete the parallelogram.