Given nodes values centered at (0, 0) in any coordinate system, you need to manipulate the given coordinates to comply to what your screen and canvas needs to properly render the drawing
You can rescale your points by a scalar factor, then translate the origin to the center of the screen (or at any location for that matter), in order to visualize them more easily:
Maybe like this:

import tkinter as tk
WIDTH = 600
HEIGHT = 400
given_nodes = ((-1, -1), (-1, 1), (1, 1), (1, -1), (0, -1.5))
scale = 100
scaled_nodes = [(x * scale, y * scale) for x, y in given_nodes]
translated_to_center_nodes = [(x + WIDTH/2, y + HEIGHT/2) for x, y in scaled_nodes]
app = tk.Tk()
canvas = tk.Canvas(app, width=WIDTH, height=HEIGHT, bg='cyan')
canvas.pack()
# Draw connecting lines
line_nodes = translated_to_center_nodes + [translated_to_center_nodes[0]]
for idx, node in enumerate(line_nodes[:-1]):
x0, y0 = node
x1, y1 = line_nodes[idx+1]
canvas.create_line(x0, y0, x1, y1, fill='black')
# draw nodes
for node in translated_to_center_nodes:
x, y = node
dx, dy = 2, 2
canvas.create_oval(x-dx, y+dy, x+dx, y-dy, fill='white')
# draw origin & coordinate system at rescaled drawing scale
canvas.create_line(0, 0, 0 + scale, 0, width=9, fill='blue', arrow=tk.LAST)
canvas.create_line(0, 0, 0, scale, width=9, fill='blue', arrow=tk.LAST)
canvas.create_text(40, 40, text='SCALED\nCANVAS\nORIGIN')
# draw moved origin & coordinate system at rescaled drawing scale
canvas.create_line(0, HEIGHT/2, WIDTH, HEIGHT/2, fill='black', dash=(1, 3))
canvas.create_line(WIDTH/2, HEIGHT/2, WIDTH/2 + scale, HEIGHT/2, width=3, fill='black', arrow=tk.LAST)
canvas.create_line(WIDTH/2, 0, WIDTH/2, HEIGHT, fill='black', dash=(1, 3))
canvas.create_line(WIDTH/2, HEIGHT/2, WIDTH/2, HEIGHT/2 + scale, width=3, fill='black', arrow=tk.LAST)
canvas.create_text(WIDTH/2, HEIGHT/2, text='MOVED\nORIGIN')
if __name__ == '__main__':
app.mainloop()
This is commonly done with matrix multiplication and homogeneous coordinates (look it up), but the machinery needed to demonstrate a simple example is a little too heavy.
The process of using the coordinates of an object and drawing it at scale, at the proper place, maybe rotated of skewed is called instantiation (look it up too!)