Question

In the diagram, ΔABC is a right triangle with DG⊥CB. What are the coordinates of G? A. (-1, -3)

B. (-0.75, -1.5)

C. (-0.75, -3)

D. (3.75, -2.5)

Answer 1

From the divisions done in the line segment AB, segment CG is also one-fourth of the segment CB.
(abscissa) (6 - -3) / 4 = 2.25
(ordinate) (-3 - - 3) / 4 = 0
Add this values to the coordinates of C (-3, -3)
abscissa : -3 + 2.25 = -0.75
ordinate : -3 + 0 = -3
Thus, the coordinate of point G are (-0.75, -3). The answer is letter C.