Question

Using the AAS Congruence Theorem, what other information proves BIG ~= COW

Answer 1

In order to use the AAS (Angle-Angle-Side) Congruence Theorem to show that two triangles, BIG and COW, are congruent (BIG ≅ COW), you need to know the following information:

1. **Two Angles**: You need the measures of two angles in triangle BIG to be congruent to the measures of two angles in triangle COW. For example, if you know that ∠B ≅ ∠C and ∠I ≅ ∠O, this will satisfy the angle condition of AAS.

2. **One Side**: You need a side that is not included between the two angles. For example, if you know that the length of side BI is equal to the length of side CO (BI ≅ CO), this will satisfy the side condition of AAS.

If you have two angles and a corresponding non-included side that are congruent between the two triangles, you can conclude that the triangles are congruent using the AAS theorem.

So, to summarize, if you can confirm:
- ∠B ≅ ∠C
- ∠I ≅ ∠O
- BI ≅ CO

Then you can conclude that triangle BIG is congruent to triangle COW (BIG ≅ COW) using AAS.