Question

Find the other endpoint of the line segment with the given endpoint and midpoint: Endpoint - (1, 3) Midpoint - (0, 0)

Answer 1

Answer:

The other endpoint of the line segment = (-1, -3)

Step-by-step explanation:

A segment has:

• Endpoint: (1, 3)

• Midpoint: (0, 0)

Let (x, y) be the other endpoint of the line segment

$\frac{\left(1\:+\:x\right)}{2}=0$

$\mathrm{Multiply\:both\:sides\:by\:}2$

$\frac{2\left(1+x\right)}{2}=0\cdot \:2$

$1+x=0$

$x=-1$

$\frac{\left(3+y\right)}{2}=0$

$\mathrm{Multiply\:both\:sides\:by\:}2$

$\frac{2\left(3+y\right)}{2}=0\cdot \:2$

$3+y=0$

$y=-3$

Therefore, the other endpoint of the line segment = (-1, -3)