Mathematics: Carla and jonah are working together to determine it quadrilateral cdef with coordinates c(2, 3). d(1.2). e(4.1), and f(5, 3) has parallel sides carla sets up the following jonah sets up the following who is on track to get the correct answer, and why?

Carla and jonah are working together to determine

Ответ:

neariah24

13.08.2019

check the picture below.

to check for any parallel sides in the quadrilateral, since parallel lines have exactly the same slope, we could check slopes of cf and de or slopes of cd and ef

$\bf c(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad d(\stackrel{x_2}{1}~,~\stackrel{y_2}{2}) slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-3}{1-2} [-0.35em] ~\dotfill e(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad f(\stackrel{x_2}{5}~,~\stackrel{y_2}{3})$

$\bf slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-1}{5-4}~\hfill \boxed{ \begin{array}{} \textit{jonah is on the right track}\\ \textit{checking slopes of opposites} \end{array}}$