Question

The midpoint of CD is E(-1, 0). One endpoint is C(5, 2). What are the coordinates of point D, the other endpoint?

A) D(-6, -15)
B) D(-6, -2)
C) D(-7, -2)
D) D(-8, -3)

Answer 1

The coordinates of point D are (-6, -2).

Step-by-step explanation:

To find the coordinates of point D, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (E) is the average of the coordinates of the two endpoints (C and D). So, we can use the formula:

x-coordinate of E = (x-coordinate of C + x-coordinate of D) / 2

y-coordinate of E = (y-coordinate of C + y-coordinate of D) / 2

Plugging in the given values:

-1 = (5 + x-coordinate of D) / 2

0 = (2 + y-coordinate of D) / 2

Solving for x-coordinate of D and y-coordinate of D, we get:

x-coordinate of D = -6

y-coordinate of D = -2

Therefore, the coordinates of point D are (-6, -2), which is option B.