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=

Respuesta :

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]