Question

drag statements and reasons to each row to show why the slope of the line between r and s is the same as the slope between s and t, given that triangles a and b are similar.

Answer 1

Sorry this came pretty late but I just answered the question and thought it might help someone else later

Answer:                    

Answer 2

Answer:

For statement $\frac{5}{3}=slope$, the reason is Definition of slope.

and for statement  $\frac{5}{3}=\frac{15}{9}$, the reason is Triangle A is similar to triangle B.

Step-by-step explanation:

If slope of triangles are equal than Triangle A is similar to triangle B.

so, in statement $\frac{5}{3}=\frac{15}{9}$ when we simplify

we get

$\frac{5}{3}=\frac{5}{3}$

then the reason for this statement is "If slope of triangles are equal"

And the definition of slope in general is $m=\frac{y}{x}$

so, for the statement $\frac{5}{3}=slope$, the reason is Definition of slope.