the hypotenuse longest side of similar triangles ABC and DFA both lie on line k, as shown below. Demonstrate whether the slope of line k is constant(same) between C and D. Use the leg length short sides of triangles ABC and DFA in your answer​

Respuesta :

Answer:

Yes, The slope of the line k between C and D is constant

Step-by-step explanation:

Lets find the slope of the line K from the points AC and AD

Step1:

Slope of line K from AC (point C)

= [tex]\frac{AB}{BC}[/tex]

= [tex]\frac{1}{3}[/tex]

Step 2:

Slope of line k from AD (point D)

= [tex]\frac{DF}{A F}[/tex]

= [tex]\frac{2}{3}[/tex]

=[tex]\frac{1}{3}[/tex]

The slope of the line K from the points AC and AD are equal

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