Question

Vertex upper G is in the upper left corner, vertex upper H is in the upper right, vertex upper I is in the lower right corner, and vertex upper J is in the lower left. A diagonal line is drawn from upper H to upper J, forming angles. Angle upper G upper J upper H and angle upper J upper H upper I are marked with a single congruent arc. Angle upper G upper H upper J and angle upper H upper J upper I are marked with double congruent arcs. Sides upper G upper J, and upper H upper I, measure 3 units each. Sides upper G upper H, and upper J upper I, measure 2 units each.


Which statement correctly describes the relationship between the triangles in the diagram?

(1 point)
Responses

△GJH≅△JHI
by SSS Congruence Theorem.
triangle upper G upper J upper H congruent to triangle upper J upper H upper I by SSS Congruence Theorem.

△HGJ≅△HJI
by SAS Congruence Theorem.
triangle upper H upper G upper J congruent to triangle upper H upper J upper I by SAS Congruence Theorem.

△GHJ≅△IJH
by ASA Congruence Theorem.
triangle upper G upper H upper J congruent to triangle upper I upper J upper H by ASA Congruence Theorem.

△GHJ≅△JHI
by AAS Congruence Theorem.

Answer 1

△GJH ≅ △JHI by SSS.

Justification: GJ = HI = 3, GH = JI = 2, and HJ is common to both triangles, so all three corresponding sides are equal.