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

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)

= $\frac{AB}{BC}$

= $\frac{1}{3}$

Step 2:

Slope of line k from AD (point D)

= $\frac{DF}{A F}$

= $\frac{2}{3}$

=$\frac{1}{3}$

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