A (14,-2), B (6,-2) and D(8,2) are the three vertices of a parallelogram ABCD. Find the coordinates of the fourth vertex C.
A (14,-2), B (6,-2) and D(8,2) are the three vertices of a parallelogram ABCD. Find the coordinates of the fourth vertex C.
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Step-by-step explanation:
we must use midpoint formula
The coordinates of the fourth vertex C = (0, 2)
Step-by-step explanation:
Let the coordinates of the fourth vertex is C(x, y).
The given hree vertices of a parallelogram ABCD are A (14, - 2), B (6, - 2) and D(8 , 2).
To find, the coordinates of the fourth vertex C = ?
∴ Diagonal of AC = Diagonal of BD
Diagonal of AC = ()
Also,
Diagonal of BD = ()
∴
⇒ 14 + x = 14
⇒ x = 14 - 14 = 0
Also,
⇒ - 2 + y = - 2 + 2
⇒ y = 2
∴ The coordinates of the fourth vertex C = (0, 2)