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Question
In the adjacent figure, seg AD ≌ seg EC Which additional information is needed to show that ∆ ABD and ∆ EBC will be congruent by A-A-S test?
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Solution
In ∆ABD and ∆EBC,
side AD ≅ side EC ...[Given]
∠ABD ≅ ∠EBC ...[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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