Given one endpoint and midpoint in (x,y) of a line segment, explain how to find the other end point.
It's very very simple:
The midpoint formula give you: $$ M=(x_m,y_m)=\left( \dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right) $$ where $(x_1,y_1)$ are the coordinates of a point, say your $C$, and $(x_2,y_2)$ are the coordinate of the oter point, i.e the point $D$ that you are searching.
So, substituting the given coordinates you have:
$$ 4=\dfrac{6+x_2}{2} \quad \land \quad 2=\dfrac{5+y_2}{2} $$ Now can you solve these two simple equations?
$$ 4\cdot 2=6+x_2 \Rightarrow 8-6=x_2 \Rightarrow x_2=2 $$ $$ 2 \cdot 2=5+y_2 \Rightarrow 4-5=y_2 \Rightarrow y_2=-1 $$
Arthur Alex Karapetov
‘All we have to decide is what to do with the time that is given to us.’ – Gandalf
Updated on July 22, 2022Comments
-
Arthur Alex Karapetov over 1 year
A line segment with one end at C(6,5)has midpoint M(4,2). Determine the coordinates of the other endpoint, D. Explain your solution and describe a method to check your answer.
-
Arthur Alex Karapetov over 8 yearsHow can you solve these two simple equations? Can you please finish, with steps.
-
Emilio Novati over 8 yearsDon't you know how solve a linear equation such these?
-
Arthur Alex Karapetov over 8 yearsWould you please do it I'm not sure . I'm a grade 8 student doing grade 10 work without a teacher.
-
Emilio Novati over 8 yearsSee my edit. But you have to do some work... And not forget to accept the answer!