Question

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​

Answer 1

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

Explanation:

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

Step1:

Slope of line K from AC (point C)

=
`(AB)/(BC)`

=
`(1)/(3)`

Step 2:

Slope of line k from AD (point D)

=
`(DF)/(A F)`

=
`(2)/(3)`

=
`(1)/(3)`

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