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Raffles Girls 2025 P6 Maths Prelim — Paper 1 Booklet A Q7 Solution
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.
- 1. A only
- 2. A and B
- 3. A and C
- 4. All of the above
Answer: 1
Worked solution
- \(\text{A: Opposite angles of a parallelogram are equal, so } \angle SPQ = \angle SRQ \ \checkmark\)
- \(\text{B: Diagonal SQ does not bisect } \angle PSR \text{ in a general parallelogram, so } \angle PSQ \neq \angle QSR \text{ in general} \ \times\)
- \(\text{C: } \triangle PQS \text{ has sides } PQ, QS, SP \text{ which are not equal in a general parallelogram} \ \times\)
- \(\text{Only A is always true}\)
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