According to Side Angle Side theorem the correct option is d)
[tex]\rm \dfrac{AC}{GI}=\dfrac{BC}{HI}[/tex]
According to SAS theorem:
- If an angle of one triangle is congruent to the corresponding angle of another triangle.
- And the lengths of the sides including these angles are in proportion, the triangles are similar.
From the given triangles we can see that,
[tex]\rm \dfrac{AC}{BC}=\dfrac{GI}{HI}[/tex] ---- (according to SAS theorem)
Therefore, the correct option is D).
For more information, refer the link given below
https://brainly.com/question/1411515