SOLUTION: Find all the possible coordinates for the fourth vertex of a parallelogram with the given vertices. The three coordinates are: (3,-4), (-2,-1), and (1,2).
I actually found one
Algebra.Com
Question 174815: Find all the possible coordinates for the fourth vertex of a parallelogram with the given vertices. The three coordinates are: (3,-4), (-2,-1), and (1,2).
I actually found one of the coordinates, which is (6,-1) but I'm lost after this one.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
A parallelogram has opposite sides that are parallel. Since parallel lines have equal slopes, this problem all boils down to slope. So you need to figure out the slopes between the given points. Using those slopes, you can find the additional point needed to make a parallelogram. If you understand all of that, then that's great. If you need help finding the other two, then shifting the line segments will help you see it (see below).
There are 3 possible parallelograms possible and here's what they look like:
Note: the green points are the points to be found.
Parallelogram #1:
Parallelogram #2:
Parallelogram #3:
If you need any further help, feel free to ask further questions.
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