Question

Points a (3;1) b(5;1) c(a ;b) d(4;3) are vertices of parallelogram abcd find a and b

Answer 1

midpoint toward vortexes=>

$( \frac{7}{2} \: . \: 2) = ( \frac{5 + a}{2} \: . \frac{1 + b}{2} ) \\ \\ \frac{7}{2} = \frac{5 + a}{2} \\ \\ a = 2 \\ \\ 2 = \frac{1 + b}{2} \\ \\ b = 3$