Quadrilateral EFGH has coordinates E(2a, 2a), F(3a, a), G(2a, 0), and H(0, 0). Find the midpoint of he

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asked Jul 23, 2019 109k views

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Quadrilateral EFGH has coordinates E(2a, 2a), F(3a, a), G(2a, 0), and H(0, 0). Find the midpoint of he

Mathematics
middle-school

Jonathan Peterson asked

by Jonathan Peterson

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Answer:

The answer is (a, a)

Colin Grogan answered Jul 24, 2019

by Colin Grogan

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The formula of the midpoint of HE:

$\left((x_H+x_E)/(2);\ (y_H+y_E)/(2)\right)$

We have H(0; 0) and E(2a; 2a). Substitute:

$\left((0+2a)/(2);\ (0+2a)/(2)\right)=(a;\ a)$

Chriki answered Jul 29, 2019

by Chriki

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