The two red points on the graph are located at coordinates $(3, 3)$ and $(6, 3)$. To form a right triangle, we need a third point that, when connected to these two, would create two perpendicular segments.

Solution:

Since both points are on the same horizontal line $y = 3$, the third point should ideally lie on either a vertical or horizontal line relative to these points to ensure a right angle.

Checking Each Option:

1. Option A (8, 8): This point does not align vertically or horizontally with either point, so it would not form a right angle.
2. Option B (0, 8): Similarly, this point does not align vertically or horizontally with either red point.
3. Option C (3, 2): This point lies directly below $(3, 3)$, creating a vertical alignment with it. This would form a right angle with the segment joining $(3, 3)$ and $(6, 3)$.
4. Option D (4, 7): This point does not align vertically or horizontally with either red point, so it would not form a right angle.

Conclusion:

The correct answer is C. (3, 2), as it forms a right triangle with the points $(3, 3)$ and $(6, 3)$.

Would you like a detailed explanation of the geometric reasoning or have any further questions?

Here are some additional related questions:

1. How do you determine if three points form a right triangle?
2. What is the importance of perpendicular lines in forming right triangles?
3. How can you verify a right triangle using the distance formula?
4. How can you find the slope of a line between two points, and why does it matter here?
5. Can you use the Pythagorean theorem to confirm if a triangle is a right triangle?

Tip: When checking for right angles on a coordinate plane, look for vertical and horizontal alignments between points for easier identification of right triangles.