Question

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.

a) Both points are in Quadrant I
b) Starting point is in Quadrant III, and finishing point is in Quadrant II
c) Starting point is in Quadrant IV, and finishing point is in Quadrant III
d) Starting point is in Quadrant II, and finishing point is in Quadrant I

Part B: A checkpoint will be at (5.5, 2). In at least two sentences, describe the differences between the coordinates of the starting point and the checkpoint, and explain how the points are related.

a) The starting point is to the left of the checkpoint, and they both have the same y-coordinate.
b) The starting point is below the checkpoint, and they have different x and y coordinates.
c) The starting point is above the checkpoint, and they both have the same x-coordinate.
d) The starting point is to the right of the checkpoint, and they have different x and y coordinates.

Answer 1

Without specific coordinates for the starting and finishing points, their quadrants cannot be conclusively identified. The checkpoint at (5.5, 2) is in Quadrant I, and its relation to the starting point depends on the starting point's coordinates, which have not been provided.

Step-by-step explanation:

Part A: Determining Quadrant Locations

For Part A, to determine the location of points within a quadrant, we utilize the rectangular coordinate system where the horizontal axis is labeled as the x-axis and the vertical axis as the y-axis. The quadrants are numbered counterclockwise starting from the upper right quadrant as Quadrant I. Each quadrant represents a different combination of positive and negative coordinates:

• Quadrant I: Both x and y are positive.
• Quadrant II: x is negative, y is positive.
• Quadrant III: Both x and y are negative.
• Quadrant IV: x is positive, y is negative.

Without specific coordinate values for the starting and finishing points, we cannot conclusively determine the quadrants in which they reside. The student is expected to provide these coordinates so that an accurate determination can be made.

Part B: Relation Between Points

In Part B, the checkpoint at (5.5, 2) falls in Quadrant I, where both x and y coordinates are positive. The relationship between the checkpoint and the starting point, given as options, will depend on the specific coordinates of the starting point. For instance, if the starting point had an x-value less than 5.5, it would be to the left of the checkpoint, if it had an x-value more than 5.5, to the right, if the y-value was less than 2, below, and if more than 2, above the checkpoint.