Match the table to name the quadrant for each ordered pair.
Q1
Q2
Q3
Q4
(6,1)
(−4,−12)
(10,−2)
(3,5)
(−8,−7)
(−13,9)
(6,1) - Q1
(−4,−12) - Q3
(10,−2) - Q4
(3,5) - Q1
(−8,−7) - Q2
(−13,9) - Q2
To determine the quadrant for each ordered pair, we need to consider the signs of the x-coordinate and y-coordinate.
Here is the matching table:
Q1: (6,1) - Both x and y coordinates are positive.
Q2: (−4,−12) - Both x and y coordinates are negative.
Q3: (10,−2) - The x coordinate is positive and the y coordinate is negative.
Q4: (3,5) - The x coordinate is positive and the y coordinate is also positive.
Q2: (−8,−7) - Both x and y coordinates are negative.
Q1: (−13,9) - The x coordinate is negative and the y coordinate is positive.
To identify the quadrant for each ordered pair, we need to determine the signs of the x and y coordinates.
In quadrant Q1, both the x and y coordinates are positive.
In quadrant Q2, the x coordinate is negative, and the y coordinate is positive.
In quadrant Q3, both the x and y coordinates are negative.
In quadrant Q4, the x coordinate is positive, and the y coordinate is negative.
Now let's apply this information to each ordered pair:
(6,1):
The x coordinate is positive, and the y coordinate is positive. Therefore, it lies in quadrant Q1.
(−4,−12):
The x coordinate is negative, and the y coordinate is negative. Therefore, it lies in quadrant Q3.
(10,−2):
The x coordinate is positive, and the y coordinate is negative. Therefore, it lies in quadrant Q4.
(3,5):
The x coordinate is positive, and the y coordinate is positive. Therefore, it lies in quadrant Q1.
(−8,−7):
The x coordinate is negative, and the y coordinate is negative. Therefore, it lies in quadrant Q3.
(−13,9):
The x coordinate is negative, and the y coordinate is positive. Therefore, it lies in quadrant Q2.
So, the table can be matched to name the quadrants as follows:
(6,1) - Q1
(−4,−12) - Q3
(10,−2) - Q4
(3,5) - Q1
(−8,−7) - Q3
(−13,9) - Q2