Question

use the image to answer the question. using the aas congruence theorem, what other information proves △big≅△cow? (1 point) ∠i≅∠o; (overline{bg}congoverline{cw}); (overline{gb}congoverline{wc}); (overline{bi}congoverline{co})

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 two pairs of angles congruent (the marked angles). We need a non - included side to be congruent.

Step2: Analyze the sides

The non - included sides for the given pairs of angles are the sides opposite the second - mentioned angles in each triangle. For the pairs of angles, the non - included side for \(\triangle BIG\) and \(\triangle COW\) should be \(BI\) and \(CO\). If \(\overline{BI}\cong\overline{CO}\), then by AAS Congruence Theorem, \(\triangle BIG\cong\triangle COW\).

Answer:

\(\overline{BI}\cong\overline{CO}\)