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Show that the points (−2, − 4), (4, 0) and (2, 3) are the vertices points of are the vertices points of a rectangle.

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Let A(-4,-1),B(−2, − 4), C(4, 0) and D(2, 3) be the given points

Now,

∴ AB=CD and AD=BC ⇒ ABCD is a parallelogram

Now,

Since the diagonals of parallelogram ABCD are equal i.e., AC=BD

Hence, ABCD is a rectangle.

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