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Raffles Girls 2025 P6 Maths Prelim — Paper 1 Booklet A Q7 Solution

Paper 1 Booklet A · Q7 · 1 mark · Angles

Question

PQRS is a parallelogram. Which of the following statement(s) is/are true? A. $\angle SPQ = \angle SRQ$ B. $\angle PSQ = \angle QSR$ C. $\triangle PQS$ is an isosceles triangle.
Answer: 1

Worked solution

  1. \text{A: Opposite angles of a parallelogram are equal, so } \angle SPQ = \angle SRQ \ \checkmark
  2. \text{B: Diagonal SQ does not bisect } \angle PSR \text{ in a general parallelogram, so } \angle PSQ \neq \angle QSR \text{ in general} \ \times
  3. \text{C: } \triangle PQS \text{ has sides } PQ, QS, SP \text{ which are not equal in a general parallelogram} \ \times
  4. \text{Only A is always true}

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