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ICSE Question Bank
2016Q6(b)(i)Similarity (With Applications to Maps and Models)
ProofModerate1 mark
6(b)

In the given figure PQRS is a cyclic quadrilateral PQ and SR produced meet at T.

Figure for this question

Prove ΔTPS ~ ΔTRQ

Topic: Similarity / scale factor

Previous-year question practice database

Answer

Exam answer
  1. Draw AF measuring 5 cm using a ruler.
Explanation
  1. (a) Steps of construction:
  2. Draw AF measuring 5 cm using a ruler.
  3. With A as the centre and radius equal to AF, draw an arc above AF.
  4. With F as the centre, and same radius cut the previous arc at Z
  5. With Z as the centre, and same radius draw a circle passing through A and F.
  6. With A as the centre and same radius, draw an arc to cut the circle above AF at B.
  7. With B as the centre and same radius, draw ar arc to cut the circle at C.

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