Mathematics, 25.08.2019 23:20, austinlogan3218
A, b and c are the vertices of a triangle. a has coordinates (4, 6). b has coordinates (2, -2). c has coordinates (-2, -4). d is the midpoint of ab. e is the midpoint of ac. prove that de is parallel to bc.
you!
Answers: 1
![\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{4}~,~\stackrel{y_1}{6})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{-2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{2+4}{2}~,~\cfrac{-2+6}{2} \right)\implies \left( \cfrac{6}{2}~,~\cfrac{4}{2} \right)\implies \boxed{\stackrel{D}{(3,2)}} \\\\[-0.35em] ~\dotfill](/tpl/images/0197/6594/f799d.png)
![\bf B(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{2}}}\implies \cfrac{-4+2}{-4}\implies \cfrac{-2}{-4}\implies \boxed{\cfrac{1}{2}\leftarrow \textit{slope of BC}} \\\\[-0.35em] ~\dotfill](/tpl/images/0197/6594/31b7e.png)
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A, b and c are the vertices of a triangle. a has coordinates (4, 6). b has coordinates (2, -2). c ha...
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