Question

a(-4, -6), b(-1, 2), c(3, 2), d(0, -6)
plot all of the points above to make a polygon.
you may click a plotted point to delete it.
answer attempt 1 out of 2
the polygon can best be identified as a quadrilateral (parallelogram).

Explanation:

Step1: Plot point A(-4,-6)

Locate $x=-4$, $y=-6$ on the grid, mark the point.

Step2: Plot point B(-1,2)

Locate $x=-1$, $y=2$ on the grid, mark the point.

Step3: Plot point C(3,2)

Locate $x=3$, $y=2$ on the grid, mark the point.

Step4: Plot point D(0,-6)

Locate $x=0$, $y=-6$ on the grid, mark the point.

Step5: Connect points in order

Connect $A \to B \to C \to D \to A$ to form the polygon.

Step6: Verify polygon type

Check side lengths: $AB = \sqrt{(-1+4)^2+(2+6)^2} = \sqrt{9+64} = \sqrt{73}$, $CD = \sqrt{(0-3)^2+(-6-2)^2} = \sqrt{9+64} = \sqrt{73}$; $BC = 3 - (-1) = 4$, $AD = 0 - (-4) = 4$. Opposite sides are equal, so it is a parallelogram.

Answer:

The plotted polygon is a Quadrilateral (Parallelogram), with points $A(-4,-6)$, $B(-1,2)$, $C(3,2)$, $D(0,-6)$ connected in sequence on the coordinate grid.