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The diagram shows a general parallelogram with a vertex at the origin and one side along the x-axis. What are the coordinates of D, the point of intersection of the diagonals of parallelogram ABCO? How do you know? (Step by step)

The diagram shows a general parallelogram with a vertex at the origin and one side along the xaxis What are the coordinates of D the point of intersection of th class=

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mhanifa

Answer:

  • D = (a + b, c)

Step-by-step explanation:

The diagonals of the parallelogram bisect each-other.

Point D is the midpoint of AC or BD.

Use the midpoint equation to find the coordinates (x, y) of D:

  • x = 1/2(2a + 2b) = a + b
  • y = 1/2(2c + 0) = c
  • D = (a + b, c)

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