Question

Plot the points (0,0), (4,0), (4,3) and (0,3) and show that they form a rectangle

Answer 1

$\huge\mathfrak{Hola\: Mate}$

$\huge{Solution:-}$

$refer \: the \: figure \: shown \: in \: image,$

$let \: the \: vertices \: of \: quadriateral \: \: be = \\ a(0 \:, \: 3) \\ b(4 \: , \: 3) \\ c(0 \: , \: 0) \\ d(4 \: , \: 0)$

$distance \: formula = \sqrt{ {(x - x1)}^{2} + {(y - y1)}^{2} }$

$in \: rectangle \: opposite \: sides \: are \: equal \\ therefore \: , \: ab = cd$

$by \: using \: distance \: formula = \\ \sqrt{( {0 - 4)}^{2} + {(3 - 3)}^{2} } = \sqrt{ {(0 - 4)}^{2} + {(0 - 0)}^{2} }$

$\sqrt{ { (- 4)}^{2} } = \sqrt{( {4)}^{2} }$

$\sqrt{16} = \sqrt{16}$

$4 = 4$

$similarly \: , \: ac = bd$

$hence \: is \: is \: poved \: that \: quadrilateral \: is \: rectangle \: beacause \: its \: opposite\: sides \: \: are \: equal$

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Answer 2

❇️Hope it helps!!! ❇️

#sumedhian ❤❤