SOLUTION: Given the points (1,4), (3,6), (1,0) and (3,2), graph to prove it is a parallelogram. After graphing, find the coordinates of the same parallelogram after translating it two units

Question 1196845: Given the points (1,4), (3,6), (1,0) and (3,2), graph to prove it is a parallelogram. After graphing, find the coordinates of the same parallelogram after translating it two units to the left and four units down.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Graphing the points does not prove anything....

The figure is a parallelogram because (1,0) and (1,4) determine a vertical segment of length 4 and (3,2) and (3,6) do also. If opposite sides of a quadrilateral are parallel and congruent, the figure is a parallelogram.

And graphing doesn't help find the coordinates of the points after translating the figure 2 to the left and 4 down. Find the coordinates by subtracting 2 from the x coordinate and subtracting 4 from the y coordinate for each of the four points.

e.g., (1,4) --> (-1,0)

You can do the others.

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