Suppose RT¯¯¯¯¯¯¯≅ND¯¯¯¯¯¯¯¯¯

Question

and ∠R ≅ ∠N. What additional information do you need to prove that ΔRTJ ≅ ΔNDF by ASA?(1 point)
Responses

∠J ≅ ∠F
∠J ≅ ∠F

∠T ≅ ∠D
∠T ≅ ∠D

∠J ≅ ∠D
∠J ≅ ∠D

∠T ≅ ∠F

Answer 1

To prove that triangles \( \Delta RTJ \) and \( \Delta NDF \) are congruent by the Angle-Side-Angle (ASA) postulate, you need two angles and the included side.

Given:

1. \( RT \cong ND \) (the sides are congruent)
2. \( \angle R \cong \angle N \) (one pair of angles is congruent)

You need one more angle congruence. The most fitting choice would be:

∠J ≅ ∠F

This would provide the second pair of angles needed for congruence using the ASA postulate, along with the congruent sides \( RT \) and \( ND \).