miawiltshirep16pgr miawiltshirep16pgr
  • 26-04-2018
  • Mathematics
contestada

Parallelogram ABCD has the coordinates shown. A(-3,2) B(0,4) C(3,4) Find the coordinates of point D. A) (0, 1) B) (1, 2) C) (2, 2) D) (0, 2)

Respuesta :

jamuuj jamuuj
  • 06-05-2018
In a parallelogram opposite sides are equal and parallel;
Therefore, in this case, AB is equal and parallel to CD, thus, the magnitude of AB is equal to the magnitude of CD
The line BC is equal to line AD and the two lines are parallel to y-axis; 
Since; AB = B - A = (0,4) - (-3,2)= (2,3)
 Assuming the coordinates of D is (x,y) DC= (4-y), (3-x) = (2,3)
Hence; y = 2 and x = 0
Thus; the coordinates of D are (0,2)
Answer Link
nickwwe13 nickwwe13
  • 05-12-2019

Answer: (0, 2)

Step-by-step explanation: The solution is (0, 2). The sketch is shown below.

Ver imagen nickwwe13
Answer Link

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