Question

11 of 1311 of 13 Items Question The diagram shows that ∠HGI ≅ ∠JGI and ∠GIH ≅ ∠GIJ . What additional congruence statement can be made based on this diagram? (1 point) Responses HI¯¯¯¯¯¯¯ ≅ JI¯¯¯¯¯¯ HI¯¯¯¯¯¯¯ ≅ JI¯¯¯¯¯¯ GI¯¯¯¯¯¯¯ ≅ GI¯¯¯¯¯¯¯ GI¯¯¯¯¯¯¯ ≅ GI¯¯¯¯¯¯¯ GH¯¯¯¯¯¯¯¯ ≅ GJ¯¯¯¯¯¯¯ GH¯¯¯¯¯¯¯¯ ≅ GJ¯¯¯¯¯¯¯ ∠H ≅ ∠J ∠H ≅ ∠J Skip to navigation

Answer 1

Based on the provided information that \( \angle HGI \cong \angle JGI \) and \( \angle GIH \cong \angle GIJ \), you can conclude that the two triangles \( HGI \) and \( JGI \) are similar.

Considering the congruence of the angles, it follows that there are corresponding sides that can be stated as congruent based on those angles.

The most appropriate additional congruence statement you can make from the options provided would be \( HI \cong JI \).

Thus, the answer is:

HI¯¯¯¯¯¯¯ ≅ JI¯¯¯¯¯¯