Question

Need some help on geometry practice problems!

Answer 1

$\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -1}}\quad ,&{{2}})\quad % (c,d) &({{ 7}}\quad ,&{{ 3}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right) \\\\\\ \left(\cfrac{{{ 7-1}} }{2}\quad ,\quad \cfrac{3+2}{2} \right)$

Answer 2

A(-1, 2)  and B(7, 3)

$x_m= \cfrac{x_a+x_b}{2}= \cfrac{-1+7}{2}= \cfrac{6}{2}=3 \\ \\ y_m= \cfrac{y_a+y_b}{2}= \cfrac{2+3}{2}= \cfrac{5}{2} \\ \\ \text{midpoint is} \ (3, \frac{5}{2} )$