Two vertices of a right triangle have coordinates (6, −2) and (1, 6) .

select each ordered pair that could be the coordinates of the third vertex.

(6, 6)

(1, −2)

(1, 1)

(−2, 1)

ANSWER

The coordinates of the third vertices are or .

EXPLANATION

Let the hypotenuse of the right angle triangle have vertices and .

The third point is the intersection of the horizontal line that passes through (6,-2), that has equation and the vertical line that passes through which also has equation .

Hence one possible coordinates of the third vertex is .

The third vertex could also be the intersection of the vertical line that passes through (6,-2), that has equation and the horizontal line that passes through which also has equation .

Hence another possible coordinates of the third vertex is .

See diagram in attachment

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