Question

HURRYYY HELP! Triangle ABC is congruent to triangle FDE, and both triangles have the same orientation, as shown. What is the slope of DF, which also the slope of AC?

Answer 1

We know that
point A(1,1) C(3,5)
point D(-2,-4) F(0,0)

step 1
find the slope FD
m=(y2-y1)/(x2-x1)------> m=(0+4)/(0+2)----> m=4/2----> m=2

step 2
find the slope AC
m=(y2-y1)/(x2-x1)------> m=(5-1)/(3-1)----> m=4/2-----> m=2

mAC=mFD

the answer is
the slope FD is 2