Respuesta :

gmany

Answer:

C.

Step-by-step explanation:

[tex]\text{A. The absolute value of the slope of the line is equal to}\ \dfrac{HJ}{FG}\\\bold{FALSE}\\\text{because the slope of the line is equal to}\ \dfrac{HJ}{KJ}\\------------------------------\\\text{B. The absolute value of the slope of the line is equal to}\ \dfrac{FG}{JK}\\\bold{FALSE}\\\text{because the slope of the line is equal to}\ \dfrac{FG}{FK}\\------------------------------[/tex]

[tex]\text{C. Because triangles FGH and HJK are similar, the slope is the same}\\\text{between any two distinct points on the line.}\\\bold{TRUE}\\------------------------------\\\text{D. Because triangles FGH and HJK are not similar, the slope is found}\\\text{by using two distinct points on one of the triangles}\\\bold{FALSE}\\\text{because triangles FGH and HJK are similar (AAA)}[/tex]