If there is a square with the points (2,9) and (9,2), what would the other two points be to fill in the whole first quadrant?

The points you've given are two opposite corners of the square. To find the other two points, we need to determine the direction and distance from one point to the other.

1. Calculate the difference in the x-coordinates (9-2=7) and the y-coordinates (2-9=-7). This tells us that we move 7 units to the right and 7 units down to get from (2,9) to (9,2).

2. To find the other two points, we need to make these same moves from each of our starting points.

3. If we start at (2,9) and move 7 units to the right, we end up at (9,9).

4. If we start at (9,2) and move 7 units up, we end up at (9,9) as well. So, (9,9) is one of our missing points.

5. If we start at (2,9) and move 7 units down, we end up at (2,2).

6. If we start at (9,2) and move 7 units to the left, we end up at (2,2) as well. So, (2,2) is the other missing point.

So, the four points that make up the square in the first quadrant are (2,9), (9,2), (9,9), and (2,2).