ABCD is a parallelogram. Find the coordinates of the vertex C if A (-2; 2), B (1; 4), D (4; 5).

univerkov | July 28, 2021 | education

Find the length of the side AB:

| AB | = √ ((1 – (-2)) ^ 2 + (4 – 2) ^ 2) = √ (3 ^ 2 + 2 ^ 2) = √25 = 5.

Since the given figure is a parallelogram, then | CD | = | AB |. Then the coordinates of point C will be equal:

((4 – 5); (5 – 5)) = (-1; 0).

Answer: the required coordinates of point C are (-1; 0).

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