Question

use the figure below to answer the question that follows: what must be given to prove that BJI ~ CJG​

Answer 1

∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG

Explanation:

To prove similarity, you must show two corresponding angles are congruent. Thus, you can ignore any answer choices involving congruence of segments. The angles in the 2nd answer choice are not corresponding, so that, too, can be eliminated.

The appropriate choice is the last one:

∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG