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Question

In the figure AD = EC, which additional information is needed to show that ABD and EBC will be congruent by A - A - S test? 

  1. DB=EB
  2. BAD=BCE
  3. BAD=40o
  4. AB=CB


Solution

The correct option is B BAD=BCE

In ABD and EBC, 
side AD = side EC (given)
ABDEBC (vertically opposite angles)
To show that ABD and EBC will be congruent by A-A-S test, one of the following is needed: BAD=BCE 
or 
BDA=BEC.

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