Final answer:
To find the new locations for points P, Q, and R, imagine a coordinate system and use vector addition to calculate the new positions. The new position for point P is (x, y-2) and the new position for point Q is (x-1, y). The distance from PQ to RQ can be calculated using the magnitude of the displacement formula.
Step-by-step explanation:
To find the new locations for points P, Q, and R, we can imagine a coordinate system and use vector addition to calculate the new positions.
If P moves 2 units to the south, its new position would be 2 units below its original position. Since P is not moving horizontally, its new position stays the same on the x-axis.
If Q moves 1 unit to the left, its new position would be 1 unit to the left of its original position. Since Q is not moving vertically, its new position stays the same on the y-axis.
Therefore, the new position for point P is (x, y-2) and the new position for point Q is (x-1, y).
The distance from PQ to RQ is the magnitude of the displacement from PQ to RQ. We can calculate this by finding the difference between the x and y coordinates of the two points. Let's say the coordinates of P are (x1, y1), the coordinates of Q are (x2, y2), and the coordinates of R are (x3, y3).
The distance from PQ to RQ is sqrt((x2-x1)^2 + (y2-y1)^2) - sqrt((x3-x1)^2 + (y3-y1)^2). Substitute the values into the formula to find the distance.