Question

Ben uses a compass and a straightedge to construct ∠DEF ≅ ∠ABC, as shown below:

The art shows two figures. The figure on the left shows two rays BA and BC having a common end point B. An arc drawn from B cuts the ray BA at H and the ray BC at I. The figure on the right shows two rays ED and EF having a common end point E. An arc drawn from E cuts the ray ED at J and the ray EF at K. Another arc drawn from K cuts the ray ED at J.

Which statement best explains why Ben uses the width HI to create the arc at J from point K?

∠DEF ≅ ∠ABC when EJ is constructed equal to HI.
∠DEF ≅ ∠ABC when JK is constructed equal to HI.
Angle HIB is equal to angle JEK when ∠DEF ≅ ∠ABC.
Angle BHI is equal to angle JKE when ∠DEF ≅ ∠ABC