2023 BMSS EOY P1 Q6

2023 BMSS EOY P1 Q6

4 marks

Triangle \(ABC\) is congruent to triangle \(DAE\).
\(ACE\) is a straight line.
Given that \(AD = 8.7\text{ cm}\), \(CE = 2.2\text{ cm}\), \(DE = 6.8\text{ cm}\), angle \(ADE = 70^\circ\) and angle \(ACB = 65^\circ\).

  1. Find \(AE\).[1]
  2. Find angle \(EAD\).[1]
  3. Tom states that \(AB\) is parallel to \(DE\).

    Show, with calculations, whether you agree with Tom.

    [2]

Solution:

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Answer:(a) \(9\text{ cm}\). (b) \(45^\circ\). (c) No: \(70^\circ\ne65^\circ\), so \(AB\not\parallel DE\).

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