Question

21. The midpoint of UV is (5,-11). The coordinates of one endpoint are U(3,5). Find the coordinates of endpoint V.

Answer 1

I hope this helps you

Answer 2

Answer: (7,-27)

Step-by-step explanation:

The coordinates of mid point of a line segment having endpoints (a,b) and (c,d) is given by :-

$x=\dfrac{a+c}{2}\ ;\ y=\dfrac{b+d}{2}$

Given : The midpoint of UV is (5,-11). The coordinates of one endpoint are U(3,5).

Let the coordinates of endpoint V be (a,b), then we have

$5=\dfrac{3+a}{2}\ ;\ -11=\dfrac{5+b}{2}$

$\Rightarrow\ 10=3+a\ ;\ -22=5+b$  [Multiply 2 both sides]

$\Rightarrow a=10-3\ ;\ b=-22-5$

$\Rightarrow a=7\ ;\ b=-27$

Hence, the coordinates of endpoint V = (7,-27)