Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.

Meenakshi asked Apr 5, 2023

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34 votes

Three vertices of a parallelogram are shown in the figure below.

Give the coordinates of the fourth vertex.

Meenakshi asked Apr 5, 2023

3.2k points

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28 votes

Answer:

(-6,1)

Explanation:

The vector from
(-2,9) to
(3,7) is
(5,-2) .

So, the vector from
(-1,-1) to the fourth vertex is
(-5,2) , meaning the fourth vertex has coordinates
(-1-5,-1+2)=(-6,1) .

Martoid Prime answered Apr 11, 2023

2.7k points

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