Question

Find the endpoint of the line segment with the given endpoint and midpoint.

Answer 1

(10, 2)

Explanation:

To get from the given endpoint to the midpoint, 6 was added to x and 2 was added to y. As per the definition of a midpoint, the resulting two line segments will be congruent (first endpoint and midpoint congruent to midpoint and second endpoint). Use the same formula (x + 6, y + 2) to find the second endpoint (use the x and y of the midpoint):

(x + 6, y + 2)

(4 + 6, 0 +2)

(10, 2)

Answer 2

Explanation:

`Midpoint ((x_(1)+x_(2))/(2),(y_(1)+y_(2))/(2))\\\\((x_(1)-2)/(2),(y_(1)-2)/(2))=(4,0)\\(x_(1)-2)/(2)= 4 ; (y_(1)-2)/(2)=0\\\\x_(1)-2=4*2 ; y_(1)-2=0\\\\x_(1)-2= 8 ; y_(1)-2=0\\\\x_(1)=8+2 ; y_(1)=0+2\\\\x_(1)=10 ; y_(1)=2\\`

Endpoint ( 10, 2)