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

For statement
`(5)/(3)=slope`, the reason is Definition of slope.

and for statement
`(5)/(3)=(15)/(9)`, the reason is Triangle A is similar to triangle B.

Explanation:

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

so, in statement
`(5)/(3)=(15)/(9)` when we simplify

we get

`(5)/(3)=(5)/(3)`

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

And the definition of slope in general is
`m=(y)/(x)`

so, for the statement
`(5)/(3)=slope`, the reason is Definition of slope.