1.

1). (-3, 8)2). (3, 8) 3). (-3, -8) 4). (3, -8)

Answer»

For a triangle ABC with vertices A(AX, Ay), B(BX, By) and C(CX, Cy), the COORDINATES of the centroid of triangle are obtained as,

(OX, Oy) = [(AX + BX + CX)/3], [(Ay + By + Cy)/3]

GIVEN, A(-3, -1), B(3, 5) and O(-1, 4)

Computing x-coordinate,

⇒ -1 = (-3 + 3 + CX)/3

⇒ CX = -3

Computing y-coordinate,

⇒ 4 = (-1 + 5 + Cy)/3

⇒ Cy = 12 - 4 = 8

∴ Coordinates of vertex C is (-3, 8)



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