Question

The midpoint of a segment is (6,−4) and one endpoint is (13,−2). Find the coordinates of the other endpoint.

A. (-1, -6)
B. (-1, 0)
C. (20, -6)
D. (20, 0)

Answer 1

Answer: A. (-1, -6)

Explanation:

Use the midpoint formula:

• Endpoint #1 = (x₁, y₁) = (13, -2)
• Endpoint #2 = (x₂, y₂)

`midpoint = ((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2)) \\\\(6, -4) = ((13+x_(2))/(2), (-2+y_(2))/(2))\\\\(13+x_(2))/(2) =6\\\\13+x_(2)=6*2\\\\x_(2)=12-13=-1\\\\ \\ (-2+y_(2))/(2)=-4\\\\-2+y_(2)=(-4)*2\\\\y_(2)=-8+2=-6\\\\\\\left \{ {{x_(2)=-1} \atop {y_(2)=-6}} \right.`