2026 EVG P1 Q21

2026 EVG P1 Q21

Secondary 4
4 marks

In the diagram, \(BA=BC\), angle ABE = angle CBD and angle BEC = angle BDA.

  1. Explain why triangles ABD and CBE are congruent.[2]
  2. Given further that angle ABE = angle BEC, what type of quadrilateral is ABCE? Justify your answer.[2]

Solution:

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Answer:(a) AAS. (b) Trapezium; AB ∥ CE.

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