Question

Use the image to answer the question.

Rectangle upper G upper H upper I upper J is plotted on a grid.
▶Click for Long Desc

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

(1 point)
Responses

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

△GJH≅△JHI
by SSS Congruence Theorem.

Answer 1

△HGJ ≅ △HJI by SAS.

Reason: In rectangle GHIJ, GH = IJ and GJ = HI (opposite sides of a rectangle), and ∠G = ∠I = 90°. Two pairs of corresponding sides and the included angle are equal, so the triangles are congruent by SAS.