Question

Geometry math question no Guessing and Please show work

Answer 1

Answer :

Let, the other point be (x, y)

By the given condition, (2, 1) is the mid point of a segment joining the points (x, y) and (8, 7)

Then,

$\frac{x + 8}{2} = 2 \\ \\ \implies x + 8 = 4 \\ \\ \implies x = 4 - 8 = - 4$

and

$\frac{y + 7}{2} = 1 \\ \\ \implies y + 7 = 2 \\ \\ \implies y = 2 - 7 = - 5$

Thus, the other point is (- 4, - 5)

Therefore, option (D) is correct.

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