Question

Three consecutive vertices of a parallelogram are points (2, 4), (0, 0), and (6, 0). The fourth vertex is point

Answer 1

Draw the figure and mark the coordinates first

Answer 2

then...Diagonals of parallelogram bisect each other....then use section formula

Answer 3

Try it out..)

Answer 4

Not enough information. There is more than one solution.

Answer 5

(8,4)

Answer 6

Simply observe the given, it's a parallelogram and so, the opposite sides must be parallel to each other.

Answer 7

There are two other possible solutions. @Jeffrey_Calderon

Answer 8

I don't think so. Then give me the other solution.

Answer 9

Without a restriction on which quadrant the fourth point must be in, it can be in any of three locations.

Answer 10

Dude, take note of the word "parallelogram"

Answer 11

Do you see the three parallelograms (excuse the sloppy drawing)

Answer 12

You can compute all the slopes yourself and prove that the lines are parallel. And you can also verify using distance formula, if you like, that opposite sides are congruent.

Answer 13

Oh. yes @CliffSedge, you are right. did't thought about that. Sorry. :)
Maybe, there are four answers to the problem.

Answer 14

There are three solutions. There might be a fourth, but I wouldn't know how to find it.
Usually these sorts of problems will be stated such that 'the fourth point is in the fourth quadrant' or something like that.