UPSKILL MATH PLUS

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In quadrilateral \(ACBD\), \(AC = AD\) and \(AB\) bisects \(∠ A\). 
 
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Show that \(∆ ABC ≅ ∆ ABD\). What can you say about \(BC\) and \(BD\)?
 
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Important!
This is a creative exercise. Your teacher will check it manually.