ProofModerate1 mark
4(iii)
In the given diagram, DE || BC and AD : DB = 2 : 3.
Prove : ΔDFE ~ ΔCFB
Topic: Similarity / scale / maps and models
Previous-year question practice database
Answer
Exam answer
Since DE ∥ BC: ∠DEF = ∠CBF (alternate interior angles).
At F: ∠DFE = ∠CFB (vertically opposite angles).
Therefore, by AA: ΔDFE ∼ ΔCFB.
Hence proved.
Explanation
The first pair is equal because DE∥BC; the second pair are vertically opposite angles at F.
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