The triangles ABO and CBO are congruent.
Which side is equal to BC?
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The triangles ABO and CBO are congruent.
Which side is equal to BC?
Let's consider the corresponding congruent triangles letters:
That is, from this we can determine:
Side AB
Determine whether the triangles DCE and ABE congruent?
If so, according to which congruence theorem?
Look at the order of vertices in the congruence statement! Triangle CBO ≅ Triangle ABO means C matches A, B matches B, and O matches O. So side CB corresponds to side AB.
The order tells you which vertices match! The first letter in each triangle name corresponds, the second letters correspond, and so on. This is how we identify equal sides and angles.
You can write it differently, but the corresponding order must stay the same. For example, ABO ≅ CBO means A↔C, B↔B, O↔O, so AB = CB, which is the same as BC = AB.
No! Only corresponding sides are equal. In triangle ABO ≅ triangle CBO, we have AB = CB, AO = CO, and BO = BO, but AB doesn't equal AO.
Use the vertex matching method: Write the triangles with matching vertices lined up vertically. Triangle CBO over triangle ABO shows C↔A, B↔B, O↔O clearly!
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