Final answer:
Both Student A's house at (1.2, -0.8) and Student C's house at (0.3, -0.6) are located in the same quadrant as Celia's house at (0.6, -0.4), which is the fourth quadrant of the coordinate grid.
Step-by-step explanation:
The student's question revolves around determining which of the given houses is in the same coordinate quadrant as Celia's house, which is at (0.6, −0.4). A coordinate grid consists of four quadrants, with the positive x-axis and positive y-axis forming the first quadrant, and the other three quadrants are numbered counter clockwise .Celia's house is in the fourth quadrant because it has a positive x-coordinate and a negative y-coordinate. We now need to compare this with the locations of the other students' houses:
- Student A's house: (1.2, −0.8) - This house is also in the fourth quadrant (positive x, negative y).
- Student B's house: (−1.2, 0.9) - This house is in the second quadrant (negative x, positive y).
- Student C's house: (0.3, −0.6) - This house is in the fourth quadrant as well (positive x, negative y).
- Student D's house: (−0.7, −1.2) - This house is in the third quadrant (negative x, negative y).
Based on the locations given, both Student A's house and Student C's house are in the same quadrant as Celia's house.