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Answer:
Point C: (4, 0)
Step-by-step explanation:
Parallelograms are quadrilaterals with two pairs of parallel sides, this means they will have the same slope between two line segments.
point slope form between two points: y - y1 = m (x - x1)
point A (2, 6) and D (4,4):
slope: point form, 6 - 4 = m(2 - 4)
2 = -2m
m (slope) = =
now that you know the change in position, apply this to vertice B to get the position of the final vertice.
B(2, 2)
C (2 +2, 2-2) = C(4, 0)
The final position of C vertice for parrallelogram A(2,6), B(2,2), D(4,4) will be C(4,0)