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A parallelogram is drawn on a
coordinate plane so that three vertices
are located at these coordinates: (-1,2), (1,2), and (-1,-3). What are the coordinates of the fourth
vertex of the parallelogram?


Sagot :

Answer:

(-3 , -3)

Step-by-step explanation:

A: (-1,2), B: (1,2), and C: (-1,-3)  .... D: (x,y)

slope of AB = (2-2)/(1 - -1) = 0    .... parallel to x axis

x coordinate of A is 2 units left to B (-1 vs 1)

y coordinate of C is 2 units left to B so D must be 2 units left to C: -1 -2 = -3

DC // AB , y coordinate of D = C = -3

D: (-3 , -3)

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