Question
What missing piece of information would make △ABC≅△RPQ△ABC≅△RPQ by AAS? (1 point) Responses AC¯¯¯¯¯¯¯¯≅RQ¯¯¯¯¯¯¯¯AC¯≅RQ¯line segment cap A cap c is congruent to line segment cap r cap q BC¯¯¯¯¯¯¯¯≅PQ¯¯¯¯¯¯¯¯BC¯≅PQ¯line segment cap b cap c is congruent to line segment cap p cap q ∠B≅∠C∠B≅∠C ∠B≅∠C∠B≅∠C ∠B≅∠P
Answers
GPT-4o mini
To apply the AAS (Angle-Angle-Side) congruence theorem, you need two angles and the side opposite one of those angles in one triangle to be congruent to two angles and the side opposite one of those angles in the other triangle.
Based on your options, the missing piece of information that would allow you to conclude \( \triangle ABC \cong \triangle RPQ \) by AAS is:
**∠B ≅ ∠P**
This statement provides the necessary angle to satisfy the AAS criteria, along with the other given congruences (the side and the second angle).
Based on your options, the missing piece of information that would allow you to conclude \( \triangle ABC \cong \triangle RPQ \) by AAS is:
**∠B ≅ ∠P**
This statement provides the necessary angle to satisfy the AAS criteria, along with the other given congruences (the side and the second angle).