Congruence in Overlapping Triangles - 4.7
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https://www.youtube.com/playlist?list=UUHykzGnUGtAxsc36lULgSZg 4.7
https://www.youtube.com/watch?v=GBXBzIDgGV8
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Sometimes we are given two triangles that overlap with each other. When triangles overlap, it
usually means they share a side or an angle.
In order to more easily match up which side and angles are corresponding (to help us in our
proof or when solving for a variable), we need to SEPARATE the two triangles. We will need to
do this very carefully and make sure to re-label the triangles once they are separated.
Ex: Separate the two triangles and identify their common parts.
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Congruence in Overlapping Triangles - 4.7
Ex: Proof of Congruent Triangles
Given: ∠𝐵𝐴𝐶 ≅ ∠𝐴𝐵𝐸
Prove: ∆𝐴𝐵𝐸 ≅ ∆𝐵𝐴𝐶
Statement
Reason
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