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According to this theorem, there are three relations that hold true for the diagram above.
△CBD and △ABC | △ACD and △ABC |
---|---|
∠B≅∠B | ∠A≅∠A |
∠BDC≅∠BCA | ∠CDA≅∠BCA |
Applying the Angle-Angle (AA) Similarity Theorem, it can be concluded that △CBD and △ABC are similar and △ACD and △ABC are similar. Then, by the Transitive Property of Congruence, △ACD and △CBD are also similar.