a small town is represented on a graph in coordinate plane. the coordinate of the post office are ( 2,3 ). Which other building is in the same quadrant
bank -3, 1
hospital -2,4
city hall 1, 5
AAAaannndd the bot gets it wrong yet again!
(2,3) is QI, as is (1,5)
Stupid bot eliminated the only correct choice!
To determine which other building is in the same quadrant as the post office, we need to compare the signs of the x-coordinates (the first number) and the y-coordinates (the second number).
The post office is located at (2,3).
Let's check the signs:
- The x-coordinate is positive.
- The y-coordinate is positive.
Now let's check the other buildings:
The bank is located at (-3,1).
- The x-coordinate is negative.
- The y-coordinate is positive.
The hospital is located at (-2,4).
- The x-coordinate is negative.
- The y-coordinate is positive.
The city hall is located at (1,5).
- The x-coordinate is positive.
- The y-coordinate is positive.
From the given buildings, both the hospital and the city hall are in the same quadrant as the post office.
To determine which of the other buildings is in the same quadrant as the post office, we need to identify the quadrant in which the post office lies on the coordinate plane.
The coordinate plane consists of four quadrants:
- Quadrant I: where both x and y coordinates are positive
- Quadrant II: where x coordinate is negative and y coordinate is positive
- Quadrant III: where both x and y coordinates are negative
- Quadrant IV: where x coordinate is positive and y coordinate is negative
Given that the coordinates of the post office are (2,3), it lies in Quadrant I since both the x and y coordinates are positive.
Now, let's analyze the coordinates of the other buildings:
- Bank: (-3,1) - This lies in Quadrant II since the x coordinate is negative and the y coordinate is positive.
- Hospital: (-2,4) - This also lies in Quadrant II since the x coordinate is negative and the y coordinate is positive.
- City Hall: (1,5) - This lies in Quadrant I since both the x and y coordinates are positive, similar to the post office.
From the analysis, we can conclude that the building in the same quadrant as the post office is the City Hall with coordinates (1,5).