What are the coordinates for the vertices of the figure? *show your work*

The coordinates for the shape are;

a = (0, 0), b = (a, 0), c = (a, a), and d = (0, a).

Step-by-step explanation:

Step 1:

First, we must assign letters to the four vertices of the given shape.

Assume the lower-left vertex is a, the lower-right vertex is b, the upper-right vertex is c and the upper-left vertex is d.

So the vertices for the shape are a, b, c, and d.

Step 2:

The coordinates for a point on a graph is given by (x coordinate, y coordinate).

So we need to determine the x and y coordinates for the four points on the shape abcd.

Step 3;

The x coordinate for vertex a = 0, the y coordinate for vertex a = 0,

so the coordinates of vertex a = (0, 0).

The x coordinate for vertex b = a - 0 = a, the y coordinate for vertex b = 0,

so the coordinates of vertex b = (a, 0).

The x coordinate for vertex c = a- 0 =a, the y coordinate for vertex c = a- 0= a, so the coordinates of vertex c = (a, a).

The x coordinate for vertex d = 0, the y coordinate for vertex d = a - 0 =a,

so the coordinates of vertex d = (0, a).