Question

using the aas congruence theorem, what other information proves △big≅△cow? (1 point)
○ bi≅co
○ ∠i≅∠o
○ gb≅wc
○ bg≅cw

Explanation:

Step1: Recall AAS Congruence Theorem

The AAS (Angle - Angle - Side) Congruence Theorem states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent. In \(\triangle BIG\) and \(\triangle COW\), we already have one pair of angles (the marked angles at \(G\) and \(W\)). We need another pair of angles and a non - included side.

Step2: Analyze the options

We need a non - included side and another angle. Looking at the options, if \(\angle I\cong\angle O\) (a pair of angles) and we already have the pair of angles at \(G\) and \(W\), and we can consider the non - included sides. The non - included side for the two pairs of angles will complete the AAS condition.

Answer:

\(\angle I\cong\angle O\)