Question

CD has coordinates C(-8,-2) and D(-4, -12). Determine the coordinates of point G that lies on CD.

A. G(-6, -8)
B. G(-7, -7)
C. G(-5, -10)
D. G(-9, -6)

Answer 1

To determine the coordinates of point G that lies on CD, we can use the midpoint formula. The coordinates of point G are (-6, -7).

Step-by-step explanation:

To determine the coordinates of point G that lies on CD, we can use the midpoint formula. The midpoint of a line segment is the average of the coordinates of its endpoints.

So, the x-coordinate of the midpoint is the average of the x-coordinates of C and D, which is (-8 + -4)/2 = -6.

Similarly, the y-coordinate of the midpoint is the average of the y-coordinates of C and D, which is (-2 + -12)/2 = -7.

Therefore, the coordinates of point G are (-6, -7).