The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.4, 3). The finishing point will be at (3, −5.4).

A four-quadrant coordinate grid is drawn from negative 4 to positive 4. Quadrant I is labeled Quadrant P, Quadrant II is labeled Quadrant Q, Quadrant III is labeled Quadrant R, and Quadrant IV is labeled Quadrant S.

Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points)

Part B: A checkpoint will be at (5.4, 3). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are related. (4 points)

The point, (5.4, 3) is located in the first quadrant opposite of the first point. You can get to the checkpoint by either moving 10.8 units to the positive x direction or reflecting the first point over the y-axis.

If you want to get from the first to the finishing point, you can reflect across the line y=x

MrRoyalgo MrRoyalgo · Answer 2

There are 4 quadrants in a coordinate plane

The starting point is in the second quadrant, while the finishing point is in the fourth quadrant.
The starting point is a reflection of the checkpoint across the y-axis

Part A

The points are given as:

[tex]Start = (-5.4,3)[/tex]

[tex]Finish = (3,-5.4)[/tex]

For the starting point, the x-coordinate is negative, while the y-coordinate is positive.

This implies that the starting point is in the second quadrant

For the finishing point, the x-coordinate is positive, while the y-coordinate is negative.

This implies that the finishing point is in the fourth quadrant

Part B

The checking point is given as:

[tex]Checking = (5.4,3)[/tex]

The starting point is given as:

[tex]Start = (-5.4,3)[/tex]

Notice that the y-coordinate of both points are the same, but the x-coordinates are negated.

This means that the starting point is a reflection of the checkpoint across the y-axis, and vice versa