Question

The midpoints of the line segment joining the points $(a,2)$ and $(3,6)$ is $(2,b)$. Find ${}^{\prime }{a}^{\prime }$ and ${}^{\prime }{b}^{\prime }$.

Answer 1

$X(a,2),Y(3,6),Z(2,b)$

$Z=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$(2,b)=(\frac{a+3}{2},\frac{2+6}{2})$

$(2,b)=(\frac{a+3}{2},4)$

$2=\frac{a+3}{2},b=4$

$4=a+3,b=4$

$a=1,b=4$