Question

select the correct answer from each drop-down menu. consider △efg and △hij. triangle hij is drop - down 1 triangle efg. since triangle efg uses drop - down 2 to map onto triangle hij, the triangles are congruent.

Explanation:

Step1: Analyze Triangle Sides

Check the markings on the sides of \( \triangle EFG \) and \( \triangle HIJ \). \( \triangle EFG \) has sides \( EF \), \( FG \), \( EG \) with markings, and \( \triangle HIJ \) has sides \( HJ \), \( JI \), \( HI \) with corresponding markings (two sides with double ticks, one with single tick), indicating congruent side lengths.

Step2: Determine Congruence and Transformation

Since all corresponding sides are congruent (SSS congruence), \( \triangle HIJ \) is congruent to \( \triangle EFG \). A rotation (or other rigid transformation like translation/rotation/reflection) can map \( \triangle EFG \) onto \( \triangle HIJ \); rotation is a likely transformation here to align the triangles.

Answer:

Triangle HIJ is \(\boldsymbol{\text{congruent to}}\) triangle EFG. Since triangle EFG uses \(\boldsymbol{\text{rotation}}\) (or rigid transformation) to map onto triangle HIJ, the triangles are congruent.