Question

Drag statements and reasons to each row to show why the slope of the line between D and E is the same as the slope between E and F, given that triangles A and B are similar.

Answer 1

ANSWER:

I will attach the image so you can better understand.

4/3=slope = Definition of slope

4/3 = 16/12 = 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   $\frac{4}{3}$ = $\frac{16}{12}$  when we simplify

we get $\frac{4}{3}$ =$\frac{4}{3}$

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 $\frac{4}{3}$ =slope , the reason is Definition of slope.