Final answer:
After plotting points E (4, 2), I (0, 2), L (-1, 3), and N (2, 0) on the Cartesian plane and connecting them in order, the shape obtained is a parallelogram.
Step-by-step explanation:
To plot the points E (4, 2), I (0, 2), L (-1, 3), and N (2, 0) on the Cartesian plane, follow these steps:
- Plot point E at (4, 2) by moving 4 units to the right and 2 units up from the origin.
- Plot point I at (0, 2) directly above the origin, 2 units up.
- Plot point L at (-1, 3) by moving 1 unit to the left and 3 units up from the origin.
- Plot point N at (2, 0) by moving 2 units to the right from the origin.
Next, join these points in the order given: E to I, I to L, L to N, and N to E. After connecting these points, the shape obtained is a parallelogram because opposite sides are parallel and of unequal lengths.