Answer:
(-7,-2)
Step-by-step explanation:
Given: The midpoint of CD is E(-1, 0) one endpoint is C(5, 2)
To Find: coordinates of the other endpoint
Solution:
in line segment CD,
end point C is (5,2)
let other end point D be=\((\text{x},\text{y})\)
mid point of segment CD is E, (-1,0)
We know that,
if \(( \text{x}_{2} ,\text{y}_2)\) is mid point of a line segment with endpoint \(( \text{x}_{1} ,\text{y}_{1})\) and \(( \text{x}_{3} ,\text{y}_{3})\) , then
\(\text{x}_{2} =\frac{\text{x}_{1}+\text{x}_{3}}{2}\)
and
\(\text{y}_{2} =\frac{\text{y}_{1}+\text{y}_{3}}{2}\)
therefore putting values
\(-1=\frac{5+\text{x}}{2}\)
\(-2=5+\text{x}\)
\(\text{x}= -7\)
\(0=\frac{2+\text{y}}{2}\)
\(0=2+\text{x}\)
\(\text{x}= -2\)
therefore the coordinates of the other endpoint D are(-7,-2)
