Chapter 1, Problem 20SGR

To determine

To find the coordinates of the missing endpoint of XY

Answer to Problem 20SGR

(41,14)

Explanation of Solution

Given information:

X(-11,-16) and M(15,4)

Formula used:

Mid-point $M(X,Y)$

For $X=\frac{x_1^{}+x_2^{}}{2}$ , For $Y=\frac{y_1^{}+y_2^{}}{2}$

Calculation: let the coordinates of X be $x_{1,}^{}{y}_1^{}$ and M be $x_{2,}^{}{y}_2^{}$

Substituting values in the formula

  $15=\frac{-11+x_2}{2},4=\frac{-6+y_2}{2}$

Using cross multiplication method

  $30=-11+x_2,8=-6+y_2$

Solving it further

  $x_2=41,y_2=14$

Therefore the missing coordinates are

Y(41,14)