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Plot the points E (4, 2), I (0, 2), L (-1, 3), and N (2, 0) on the Cartesian plane. Join these points in order. What shape is obtained?

a) Square
b) Triangle
c) Rhombus
d) Parallelogram

User The Paul
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1 Answer

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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:

  1. Plot point E at (4, 2) by moving 4 units to the right and 2 units up from the origin.
  2. Plot point I at (0, 2) directly above the origin, 2 units up.
  3. Plot point L at (-1, 3) by moving 1 unit to the left and 3 units up from the origin.
  4. 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.

User Weacked
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