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Question
In the given figure, AC ≡ AD and ∠CBD ≡ ∠DEC. Prove that ∆BCF ≡ ∆EDF.
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Solution
| Statements | Reasons |
| 1. ∠BCF = ∠EFD | Vertically opposite angles |
| 2. ∠CBD = ∠DEC | Angles on the same base given |
| 3. ∠BCF = ∠EDF | Remaining angles of ∆BCF and ∆EDF |
| 4. ∆BCF ≡ ∆EDF | By (1) and (2) AAA criteria |
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