PLS HELP! If Cyrus knows that △ABC∼△EDC and AB¯¯¯¯¯¯¯¯∥ED¯¯¯¯¯¯¯¯, how can he prove that line m passing through AB¯¯¯¯¯¯¯¯ has the same slope as line l passing through ED¯¯¯¯¯¯¯¯?
![PLS HELP If Cyrus knows that ABCEDC and ABED how can he prove that line m passing through AB has the same slope as line l passing through ED class=](https://us-static.z-dn.net/files/d1b/31e1e7a4549d2bc750be621fffee613a.png)
Answer:
AB and DE are parallel because they have the same slope.
Step-by-step explanation:
Slope of the line AB :
[tex]=\frac{\text{rise} }{\text{run} } =\frac{CA}{-BC} =\frac{12}{-8} =-\frac{3}{2}[/tex]
Slope of the line DE :
[tex]=\frac{\text{rise} }{\text{run} } =\frac{CE}{-DC} =\frac{9}{-6} =-\frac{3}{2}[/tex]