Question

Geometry math question no Guessing and Please show work

Answer 1

Answer :

Let, the other point be (x, y)

By the given condition, (6, -4) is the mid point of a segment joining the points (x, y) and (13, -2)

Then,

$\frac{x + 13}{2} = 6 \\ \\ \implies x + 13 = 12 \\ \\ \implies x = 12 - 13 = - 1$

and

$\frac{y + ( - 2)}{2} = - 4 \\ \\ \implies y - 2 = - 8 \\ \\ \implies y = - 8 + 2 = - 6$

Thus, the other point is (- 1, - 6)

Therefore, option (C) is correct.

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