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29 votes
29 votes
Given: AB - DEDBEWhat additional information is needed to proveABEA - AEBDby Side-Angle-Side?O ZABE ~ ZDEBO ZBAE - ZEDBO AE - DBO ZACB - ZECB

Given: AB - DEDBEWhat additional information is needed to proveABEA - AEBDby Side-example-1
User Dory Zidon
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1 Answer

24 votes
24 votes

We already know that BEA and EBD have a congruent side, we need to find another one and a corresponding congruent angle.

Notice that both triangles share the side BE. So, we already have two pairs of angles that are congruent.

To prove congruence of the triangles by SAS, we need that the angle formed by the two congruent sides is also congruent between the two, triangles, so


\angle BAE\cong\angle EDB

is the condition we are looking for

The correct answer is option B

User Hiran Walawage
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3.2k points