SOLUTION: The coordinates of three vertices of a parallelogram are (−3, 3), (2, 3), and (4, −1). What are the coordinates of the fourth vertex?

Question 1153113: The coordinates of three vertices of a parallelogram are (−3, 3), (2, 3), and (4, −1). What are the coordinates of the fourth vertex?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The coordinates of three vertices of a parallelogram are
A(, ), B(, ),=> these two points lie on a horizontal line
and C(, ), D(, )=> since parallelogram,these two points must lie on a horizontal line
so far we know D(, )
since parallelogram, ; so, the distance between them is same
find the distance between points and
since both points lie on horizontal line, count the number of units between them

or, you can do it this way:

now, you know the distance, y coordinate, and point C:
,,
C(, )
D(, )
since point A in quadrant II, point D in quadrant III because
go from C(, ) 5 units from to the left and you will et to
=> the fourth vertex is at D(, )

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