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Show that the points A(1, −2), B(3, 6), C(5, 10) and D(3, 2) are the vertices of a parallelogram

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Let A(1, −2), B(3, 6), C(5, 10) and D(3, 2) be the given points

∴ AB=CD and AD=BC

Since opposite sides of a parallelogram are equal

Hence, ABCD is a parallelogram

by (10 points)
Can you show that how to prove these points a rectangle

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