Plotting points and identifying a pattern
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3. Copy the system of axes into your exercise books and plot the following points. Can you see the pattern in the points? $A(5, 0)$; $B(4, 3)$; $C(3, 4)$; $D(0, 5)$; $E(-3, 4)$; $F(-4, 3)$; $G(-5, 0)$; $H(-4, -3)$; $I(-3, -4)$; $J(0, -5)$; $K(3, -4)$; $L(4, -3)$.
This question includes visual content: A Cartesian coordinate system is shown on a grid. The x-axis ranges from -6 to 6 and the y-axis ranges from -6 to 6, with grid lines forming squares. The origin (0,0) is marked. The image provides a list of 12 points: A(5, 0), B(4, 3), C(3, 4), D(0, 5), E(-3, 4), F(-4, 3), G(-5, 0), H(-4, -3), I(-3, -4), J(0, -5), K(3, -4), L(4, -3).
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In this problem, we are asked to plot a series of points on a coordinate system and identify the pattern they form.
Plotting Points and Finding a Pattern
Let's list the points given to us. We have points A through L, each with an x and y coordinate.
Points to plot:
A(5, 0), B(4, 3), C(3, 4)
D(0, 5), E(-3, 4), F(-4, 3)
G(-5, 0), H(-4, -3), I(-3, -4)
J(0, -5), K(3, -4), L(4, -3)
Now, let's create our coordinate grid ranging from negative six to positive six on both axes.
We'll start by plotting points A, B, and C in the first quadrant and on the x axis.
Next, we add point D on the y axis, followed by E and F in the second quadrant.
Now let's plot points G, H, and I in the third quadrant and on the negative x axis.
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