Answer:
The correct option is A.
Step-by-step explanation:
When we have two congruent figures, the correspondent sides of the figures are related by the same constant C.
In the case of the image.
h is the left side of the smaller triangle.
h + j is the left side of the larger triangle.
Then we have the relation:
(h + j) = C*h
If we isolate C, we get:
C = (h + j)/h
We can also write this for the other side (the bottom one)
k*C = (k + i)
C = (k + i)/k
Then we have:
(h + j)/h = (k + i)/k
We can rewrite this as:
h/h + j/h = k/k + i/k
1 + j/h = 1 + i/k
We can subtract 1 in each side to get:
j/h = i/k
This is almost the same we can see in option A (its inversed)
If we apply the inverse to both sides, we get:
(j/h)^-1 = (i/k)^-1
h/j = k/i
Which is the same equation that we can see in option A.
Then the correct option is A.
