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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=

Sagot :

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]