Fifteen labelled points on a four-quadrant grid from -8 to 8.
Practice on all four quadrants, from -8 to 8. The first four ask you to click the grid to plot a point, which is the part a printed sheet cannot check. Then name points from the grid, and finally work out the quadrant from the signs alone.
Click the grid to plot (-4, 3).
(-4, 3). Negative x means go LEFT from zero: 4 left, then 3 up. Quadrant II.
Click the grid to plot (6, -5).
(6, -5). 6 right, then 5 DOWN, because the y-coordinate is negative. Quadrant IV.
Click the grid to plot (0, -6).
(0, -6). The x-coordinate is 0, so you do not move sideways at all. The point sits on the y-axis, 6 below the origin, and is in no quadrant.
Click the grid to plot (-7, -1).
(-7, -1). Both negative: 7 left and 1 down. Quadrant III. It is barely below the x-axis, so count carefully.
Which ordered pair names the point marked on the grid?
(-2, 7). 2 left and 7 up. Flipping the signs gives (2, -7), which is diagonally opposite in Quadrant IV.
Which ordered pair names the point marked on the grid?
(5, -4). 5 right and 4 down. The reversal (-4, 5) lands in Quadrant II, nowhere near it.
Which ordered pair names the point marked on the grid?
(-6, -3). 6 left and 3 down, so both coordinates are negative. That is what puts it in Quadrant III.
Which ordered pair names the point marked on the grid?
(8, 0). 8 right and 0 up. The point is ON the x-axis, so the y-coordinate is 0 and it belongs to no quadrant.
Which quadrant contains (7, 6)?
Quadrant I. The x-coordinate is positive and the y-coordinate is positive, and that pair of signs only happens in Quadrant I.
Which quadrant contains (-5, 2)?
Quadrant II. The x-coordinate is negative and the y-coordinate is positive, and that pair of signs only happens in Quadrant II.
Which quadrant contains (-2, -7)?
Quadrant III. The x-coordinate is negative and the y-coordinate is negative, and that pair of signs only happens in Quadrant III.
Which quadrant contains (3, -8)?
Quadrant IV. The x-coordinate is positive and the y-coordinate is negative, and that pair of signs only happens in Quadrant IV.
No buttons on these. Work them out in your head first.
A point has coordinates (0, -3). Which quadrant is it in?
None. It sits on the y-axis, 3 below the origin. The four quadrants are the regions BETWEEN the axes, so any point with a zero in it lies on an axis rather than inside a quadrant. The worksheet makes the same point about F (-6, 0) and G (0, 4).
The point (3, -4) is reflected over the x-axis. Where does it land?
(3, 4). Reflecting over the x-axis keeps the x-coordinate and flips the sign of the y-coordinate. The point moves from Quadrant IV to Quadrant I.
Without plotting them, how can you tell (-6, 2) and (6, 2) apart?
They are mirror images across the y-axis. Same height, same distance from the y-axis, opposite sides. One is in Quadrant II and the other in Quadrant I.
In which quadrant are BOTH coordinates negative?
Quadrant III, the bottom left. Going anticlockwise from the top right: I is (+, +), II is (-, +), III is (-, -) and IV is (+, -).
Want it on paper? Download the free printable worksheet above: fifteen labelled points on a four-quadrant grid, plus a full answer key.